Receiving Helpdesk

does trapezoid have equal sides

by Dr. Princess Dach PhD Published 3 years ago Updated 2 years ago

Trapezoid

  • Isosceles Trapezoid. If the legs or non-parallel sides of the trapezoid are equal in length, then it is called an isosceles trapezoid.
  • Scalene Trapezoid. When neither the sides nor the angles of the trapezoid are equal, then it is a scalene trapezoid. ...
  • Right Trapezoid. A right trapezoid also called the right-angled trapezoid, has a pair of right angles. ...

In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length (properties shared with the parallelogram). The diagonals are also of equal length.
...
Isosceles trapezoid
Edges and vertices4
Symmetry groupDih2, [ ], (*), order 2
Propertiesconvex, cyclic
2 more rows

Full Answer

How many diagonals does a trapezoid have?

May 27, 2020 · Does trapezoid have equal sides? A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid ), and it can have congruent sides (isosceles), but those are not required.

Is a trapezoid a regular polygon?

Jun 13, 2015 · A trapezium can have 0, 2 or 3 sides of equal length. 0 equal sides. This is the general state of a trapezium. The two parallel sides can never be equal. The two non-parallel sides can be equal. In...

How to find the missing side length of a trapezoid?

Apr 07, 2022 · A trapezoid has four sides. A trapezoid is also called a trapezium. It has two unequal parallel sides and two nonparallel sides. The parallel sides are called ‘bases’, while nonparallel sides are called ‘lateral sides’. How many sides does triangle have? 3 How many trapezoid are there?

How do you calculate a trapezoid?

Jun 15, 2015 · A trapezoid need not have any equal sides, but it may have some equal sides. The only requirements to be a trapezoid, is that it has 4 sides, and at …

Does a trapezoid have unequal sides?

one pair of parallel sides – a trapezium (τραπέζιον), divided into isosceles (equal legs) and scalene (unequal) trapeziums. no parallel sides – trapezoid (τραπεζοειδή, trapezoeidé, literally trapezium-like (εἶδος means "resembles"), in the same way as cuboid means cube-like and rhomboid means rhombus-like)

Is a trapezoid equal?

Explanation: All quadrilaterals' interior angles sum to 360°. In isosceles trapezoids, the two top angles are equal to each other. Similarly, the two bottom angles are equal to each other as well.

Can 3 sides of a trapezoid be equal?

Trapezoid with three congruent sides Consider an isosceles trapezoid. If one of the base sides is equal to the length of the other side ( non-base side ), then three sides of this trapezoid are congruent. Such trapezoids are called a "trisosceles" triangle.

Can a trapezium have 4 equal sides?

Answer and Explanation: The trapezium is a special shape in that it does not, unlike the square or rectangle, have to have any equal side lengths.

How many sides does a trapezoid have?

4Trapezoid / Number of edges

How do you find the sides of a trapezoid?

0:134:21How to find the missing length of a trapezoid using the midsegment ...YouTubeStart of suggested clipEnd of suggested clipRight your bases are parallel. And then if you have a mid segment that mid segment is parallel asMoreRight your bases are parallel. And then if you have a mid segment that mid segment is parallel as well.

Can a trapezoid have 3 equal angles?

Answer and Explanation: A trapezium, also known as a trapezoid can have either zero or two pairs of equal angles.

Does a trapezoid have 4 right angles?

A trapezoid can have either 2 right angles, or no right angles at all.Apr 25, 2018

How many congruent sides does a trapezoid have?

two congruent sidesIsosceles trapezoids have two congruent sides.Jan 13, 2015

Is trapezium and trapezoid the same?

In the US (for some) a trapezium is a four sided polygon with no parallel sides; in the UK a trapezium is a four sided polygon with exactly one pair of parallel sides; whereas in Canada a trapezoid has an inclusive definition in that it's a four sided-polygon with at least one pair of parallel sides - hence ...Oct 3, 2017

How many equal sides does a right trapezoid have?

Name of QuadrilateralDescriptionRectangle2 pairs of parallel sides. 4 right angles (90°). Opposite sides are parallel and congruent. All angles are congruent.Square4 congruent sides. 4 right angles (90°). Opposite sides are parallel. All angles are congruent.TrapezoidOnly one pair of opposite sides is parallel.1 more row

How many equal angles does a trapezoid have?

A trapezoid is a quadrilateral, which means it has four sides. Two sides must be parallel to each other for it to be a trapezoid. A trapezoid also has four angles.Jan 3, 2022

Popular Posts:

  • 1. how long is the cleaning cycle on a ge spectra oven
  • 2. ejemplos de trabajos de investigación para bachillerato
  • 3. actividades para segundo de primaria
  • 4. how do i reset my adt gateway
  • 5. voltage and current rating of home appliances in india
  • 6. how long does it take to get a barber license in ny
  • 7. cost of one apple fruit
  • 8. dove baby soap price
  • 9. conversion between ounces and pounds
  • 10. half pence coins worth money
    • A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9
    Messages11TimelineExceptionsViews7RouteQueries7Models15Livewire0MailsGateSessionRequest
    8.3.20PHP Version2.63sRequest Duration2MBMemory UsageGET {post}Route
    • warninglog[02:23:25] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
    • warninglog[02:23:25] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
    • warninglog[02:23:25] LOG.warning: Callables of the form ["Swift_SmtpTransport", "Swift_Transport_EsmtpTranspor...
    • warninglog[02:23:25] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
    • warninglog[02:23:25] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
    • warninglog[02:23:25] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[02:23:25] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[02:23:25] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[02:23:25] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[02:23:25] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[02:23:25] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    warning
    • Booting (13.77ms)
    • Application (2.62s)
    • 1 x Application (99.46%)
      2.62s
      1 x Booting (0.52%)
      13.77ms
      7 templates were rendered
      • themes.DevBlog.content.post (resources/views/themes/DevBlog/content/post.blade.php)34blade
        Params
        0
        post
        1
        postContent
        2
        author
        3
        updated_at
        4
        bing_rich_snippet_text
        5
        bing_rich_snippet_link
        6
        bing_related_keywords
        7
        google_related_keywords
        8
        bing_news_title
        9
        bing_news_description
        10
        bing_videos
        11
        bing_images
        12
        bing_search_result_title
        13
        bing_search_result_description
        14
        bing_search_result_url
        15
        bing_paa_questions
        16
        bing_paa_answers
        17
        bing_slider_faq_questions
        18
        bing_slider_faq_answers
        19
        bing_pop_faq_questions
        20
        bing_pop_faq_answers
        21
        bing_tab_faq_questions
        22
        bing_tab_faq_answers
        23
        google_faq_questions
        24
        google_faq_answers
        25
        google_rich_snippet
        26
        google_search_result
        27
        indexedArray
        28
        total_images
        29
        total_videos
        30
        settings
        31
        url_current
        32
        menus
        33
        sidebar
      • themes.DevBlog.layouts.master (resources/views/themes/DevBlog/layouts/master.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.head (resources/views/themes/DevBlog/panels/head.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.header (resources/views/themes/DevBlog/panels/header.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.navbar (resources/views/themes/DevBlog/panels/navbar.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.footer (resources/views/themes/DevBlog/panels/footer.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.scripts (resources/views/themes/DevBlog/panels/scripts.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      uri
      GET {post}
      middleware
      web, checkdate
      as
      post.show
      controller
      App\Http\Controllers\Frontend\json_data\PostController@show
      namespace
      where
      file
      app/Http/Controllers/Frontend/json_data/PostController.php:18-166
      7 statements were executed2.59s
      receivinghelpdeskask
      • select * from `posts` where `published_at` <= '2025-05-21 02:23:25' and `slug` = 'does-trapezoid-have-equal-sides' and `posts`.`deleted_at` is null limit 1
        2.28ms/app/Providers/RouteServiceProvider.php:54receivinghelpdeskask
        Metadata
        Bindings
        • 0. 2025-05-21 02:23:25
        • 1. does-trapezoid-have-equal-sides
        Backtrace
        • 15. /app/Providers/RouteServiceProvider.php:54
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Router.php:842
        • 19. Route binding:39
        • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
        • 21. /vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:78
      • select * from `json_post_contents` where `json_post_contents`.`post_id` = 153403 and `json_post_contents`.`post_id` is not null and `rewrite_id` = 0
        3.74msmiddleware::checkdate:30receivinghelpdeskask
        Metadata
        Bindings
        • 0. 153403
        • 1. 0
        Backtrace
        • 19. middleware::checkdate:30
        • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
        • 21. /vendor/laravel/jetstream/src/Http/Middleware/ShareInertiaData.php:61
        • 22. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
      • select * from `nova_menu_menus` where `slug` = 'header' limit 1
        730μs/vendor/outl1ne/nova-menu-builder/src/helpers.php:32receivinghelpdeskask
        Metadata
        Bindings
        • 0. header
        Backtrace
        • 15. /vendor/outl1ne/nova-menu-builder/src/helpers.php:32
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
        • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`menu_id` = 1 and `nova_menu_menu_items`.`menu_id` is not null and `parent_id` is null order by `parent_id` asc, `order` asc, `name` asc
        660μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 19. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
        • 20. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
        • 22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`parent_id` in (1) order by `order` asc
        470μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
        Metadata
        Backtrace
        • 24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
        • 25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
        • 27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • select `id`, `post_title`, `slug` from `posts` where `status` = 'publish' and `posts`.`deleted_at` is null order by RAND() limit 10
        2.58s/app/View/Composers/SidebarView.php:22receivinghelpdeskask
        Metadata
        Bindings
        • 0. publish
        Backtrace
        • 14. /app/View/Composers/SidebarView.php:22
        • 15. /app/View/Composers/SidebarView.php:12
        • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `fake_users` where `fake_users`.`id` = 16135 limit 1
        1.28msview::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15receivinghelpdeskask
        Metadata
        Bindings
        • 0. 16135
        Backtrace
        • 21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
        • 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      App\Models\FakeUser
      1
      Outl1ne\MenuBuilder\Models\MenuItem
      1
      Outl1ne\MenuBuilder\Models\Menu
      1
      App\Models\JsonPostContent
      1
      App\Models\Post
      11
          _token
          WSI7OddH0bLbTXEocEBmIz3w2pHVNcQIQRgBtnKc
          _previous
          array:1 [ "url" => "https://receivinghelpdesk.com/ask/does-trapezoid-have-equal-sides" ]
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /does-trapezoid-have-equal-sides
          status_code
          200
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          request_request
          []
          request_headers
            0 of 0   
          array:24 [▼
  "cf-ipcountry" => array:1 [▶
    0 => "US"
  ]
  "cf-connecting-ip" => array:1 [▶
    0 => "18.188.86.189"
  ]
  "cdn-loop" => array:1 [▶
    0 => "cloudflare; loops=1"
  ]
  "sec-fetch-site" => array:1 [▶
    0 => "none"
  ]
  "accept" => array:1 [▶
    0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7"
  ]
  "user-agent" => array:1 [▶
    0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
  ]
  "upgrade-insecure-requests" => array:1 [▶
    0 => "1"
  ]
  "sec-ch-ua-platform" => array:1 [▶
    0 => ""Windows""
  ]
  "sec-ch-ua-mobile" => array:1 [▶
    0 => "?0"
  ]
  "sec-ch-ua" => array:1 [▶
    0 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99""
  ]
  "cache-control" => array:1 [▶
    0 => "no-cache"
  ]
  "pragma" => array:1 [▶
    0 => "no-cache"
  ]
  "sec-fetch-dest" => array:1 [▶
    0 => "document"
  ]
  "cf-ray" => array:1 [▶
    0 => "942eb92f4b21fa25-ORD"
  ]
  "accept-encoding" => array:1 [▶
    0 => "gzip, br"
  ]
  "priority" => array:1 [▶
    0 => "u=0, i"
  ]
  "sec-fetch-user" => array:1 [▶
    0 => "?1"
  ]
  "sec-fetch-mode" => array:1 [▶
    0 => "navigate"
  ]
  "cf-visitor" => array:1 [▶
    0 => "{"scheme":"https"}"
  ]
  "connection" => array:1 [▶
    0 => "close"
  ]
  "x-forwarded-proto" => array:1 [▶
    0 => "https"
  ]
  "x-forwarded-for" => array:1 [▶
    0 => "18.188.86.189, 172.70.131.106"
  ]
  "x-server-addr" => array:1 [▶
    0 => "154.12.239.204"
  ]
  "host" => array:1 [▶
    0 => "receivinghelpdesk.com"
  ]
]
          request_server
            0 of 0   
          array:55 [▼
  "USER" => "runcloud"
  "HOME" => "/home/runcloud"
  "SCRIPT_NAME" => "/ask/index.php"
  "REQUEST_URI" => "/ask/does-trapezoid-have-equal-sides"
  "QUERY_STRING" => ""
  "REQUEST_METHOD" => "GET"
  "SERVER_PROTOCOL" => "HTTP/1.0"
  "GATEWAY_INTERFACE" => "CGI/1.1"
  "REDIRECT_URL" => "/ask/does-trapezoid-have-equal-sides"
  "REMOTE_PORT" => "38524"
  "SCRIPT_FILENAME" => "/home/runcloud/webapps/ReceivingHelpDesk/ask/index.php"
  "SERVER_ADMIN" => "you@example.com"
  "CONTEXT_DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/"
  "CONTEXT_PREFIX" => ""
  "REQUEST_SCHEME" => "http"
  "DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/"
  "REMOTE_ADDR" => "172.70.131.106"
  "SERVER_PORT" => "80"
  "SERVER_ADDR" => "127.0.0.1"
  "SERVER_NAME" => "receivinghelpdesk.com"
  "SERVER_SOFTWARE" => "Apache/2.4.63 (Unix) OpenSSL/1.1.1f"
  "SERVER_SIGNATURE" => ""
  "LD_LIBRARY_PATH" => "/RunCloud/Packages/apache2-rc/lib"
  "PATH" => "/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin"
  "HTTP_CF_IPCOUNTRY" => "US"
  "HTTP_CF_CONNECTING_IP" => "18.188.86.189"
  "HTTP_CDN_LOOP" => "cloudflare; loops=1"
  "HTTP_SEC_FETCH_SITE" => "none"
  "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7"
  "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
  "HTTP_UPGRADE_INSECURE_REQUESTS" => "1"
  "HTTP_SEC_CH_UA_PLATFORM" => ""Windows""
  "HTTP_SEC_CH_UA_MOBILE" => "?0"
  "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99""
  "HTTP_CACHE_CONTROL" => "no-cache"
  "HTTP_PRAGMA" => "no-cache"
  "HTTP_SEC_FETCH_DEST" => "document"
  "HTTP_CF_RAY" => "942eb92f4b21fa25-ORD"
  "HTTP_ACCEPT_ENCODING" => "gzip, br"
  "HTTP_PRIORITY" => "u=0, i"
  "HTTP_SEC_FETCH_USER" => "?1"
  "HTTP_SEC_FETCH_MODE" => "navigate"
  "HTTP_CF_VISITOR" => "{"scheme":"https"}"
  "HTTP_CONNECTION" => "close"
  "HTTP_X_FORWARDED_PROTO" => "https"
  "HTTP_X_FORWARDED_FOR" => "18.188.86.189, 172.70.131.106"
  "HTTP_X_SERVER_ADDR" => "154.12.239.204"
  "HTTP_HOST" => "receivinghelpdesk.com"
  "HTTPS" => "on"
  "REDIRECT_STATUS" => "200"
  "REDIRECT_HTTPS" => "on"
  "FCGI_ROLE" => "RESPONDER"
  "PHP_SELF" => "/ask/index.php"
  "REQUEST_TIME_FLOAT" => 1747774405.1152
  "REQUEST_TIME" => 1747774405
]
          request_cookies
          []
          response_headers
            0 of 0   
          array:7 [▼
  "content-type" => array:1 [▶
    0 => "text/html; charset=UTF-8"
  ]
  "cache-control" => array:1 [▶
    0 => "private, must-revalidate"
  ]
  "date" => array:1 [▶
    0 => "Tue, 20 May 2025 20:53:25 GMT"
  ]
  "pragma" => array:1 [▶
    0 => "no-cache"
  ]
  "expires" => array:1 [▶
    0 => -1
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6InRid3VXdEdrbDNkM21VdU5FOGZIS2c9PSIsInZhbHVlIjoiT0N4TElyWmtQYmhnRTNQV3gzaGxxQTFTRFdEejlzeTh5Mm1aRDgyMFppSWNOa3E3L0N2SjlFU1ZKMFFrMEhpYTNrMmRMQ00zeU5iUHJ5MXpmdmlOd3paSG9nUDZJNURpVnkwVjNCYVhhNXFnaE9FZlJ4cDZwWkNCQ1BVc3ErMU4iLCJtYWMiOiJjNGRjZDkxYjljYWIwZjcyMzVhY2I2ZGQ4ZWEyODE3MGFmYTdlMThlMzk5MWE2MzJhOTFjN2Q3NjI1MzZhODlmIiwidGFnIjoiIn0%3D; expires=Tue, 20-May-2025 22:53:27 GMT; Max-Age=7200; path=/; samesite=lax ◀XSRF-TOKEN=eyJpdiI6InRid3VXdEdrbDNkM21VdU5FOGZIS2c9PSIsInZhbHVlIjoiT0N4TElyWmtQYmhnRTNQV3gzaGxxQTFTRFdEejlzeTh5Mm1aRDgyMFppSWNOa3E3L0N2SjlFU1ZKMFFrMEhpYTNrMmRMQ ▶"
    1 => "askhelpdesk_session=eyJpdiI6ImxVd3dLU01qQ3FRdWdLbUpVZE03OEE9PSIsInZhbHVlIjoiSGsrMWdsLzNPK0VEbzIyM0hSVmZkNmd0TFVVeHEyc0xFRzFqZGhBSDNoRkp0bGhGT0xaT0h3SmRnZnhCQzBFNFF2ckF4YTcyWC9DTjRtclpZWlJPalEwVFJoOWdnZWZaTnJrL0Mya3pBREw2blE1NWV0SDhZM0wyenNwRzhBTHciLCJtYWMiOiI2MjQyNzRhZDlmODljZmQ2YTRhNzg3ZjhmMjMwMDU0ZGM2NTRmMzU3NWQ4NjMwZTNiNjM5YmE5MjM5MWJhMWFjIiwidGFnIjoiIn0%3D; expires=Tue, 20-May-2025 22:53:27 GMT; Max-Age=7200; path=/; httponly; samesite=lax ◀askhelpdesk_session=eyJpdiI6ImxVd3dLU01qQ3FRdWdLbUpVZE03OEE9PSIsInZhbHVlIjoiSGsrMWdsLzNPK0VEbzIyM0hSVmZkNmd0TFVVeHEyc0xFRzFqZGhBSDNoRkp0bGhGT0xaT0h3SmRnZnhCQzBF ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6InRid3VXdEdrbDNkM21VdU5FOGZIS2c9PSIsInZhbHVlIjoiT0N4TElyWmtQYmhnRTNQV3gzaGxxQTFTRFdEejlzeTh5Mm1aRDgyMFppSWNOa3E3L0N2SjlFU1ZKMFFrMEhpYTNrMmRMQ00zeU5iUHJ5MXpmdmlOd3paSG9nUDZJNURpVnkwVjNCYVhhNXFnaE9FZlJ4cDZwWkNCQ1BVc3ErMU4iLCJtYWMiOiJjNGRjZDkxYjljYWIwZjcyMzVhY2I2ZGQ4ZWEyODE3MGFmYTdlMThlMzk5MWE2MzJhOTFjN2Q3NjI1MzZhODlmIiwidGFnIjoiIn0%3D; expires=Tue, 20-May-2025 22:53:27 GMT; path=/ ◀XSRF-TOKEN=eyJpdiI6InRid3VXdEdrbDNkM21VdU5FOGZIS2c9PSIsInZhbHVlIjoiT0N4TElyWmtQYmhnRTNQV3gzaGxxQTFTRFdEejlzeTh5Mm1aRDgyMFppSWNOa3E3L0N2SjlFU1ZKMFFrMEhpYTNrMmRMQ ▶"
    1 => "askhelpdesk_session=eyJpdiI6ImxVd3dLU01qQ3FRdWdLbUpVZE03OEE9PSIsInZhbHVlIjoiSGsrMWdsLzNPK0VEbzIyM0hSVmZkNmd0TFVVeHEyc0xFRzFqZGhBSDNoRkp0bGhGT0xaT0h3SmRnZnhCQzBFNFF2ckF4YTcyWC9DTjRtclpZWlJPalEwVFJoOWdnZWZaTnJrL0Mya3pBREw2blE1NWV0SDhZM0wyenNwRzhBTHciLCJtYWMiOiI2MjQyNzRhZDlmODljZmQ2YTRhNzg3ZjhmMjMwMDU0ZGM2NTRmMzU3NWQ4NjMwZTNiNjM5YmE5MjM5MWJhMWFjIiwidGFnIjoiIn0%3D; expires=Tue, 20-May-2025 22:53:27 GMT; path=/; httponly ◀askhelpdesk_session=eyJpdiI6ImxVd3dLU01qQ3FRdWdLbUpVZE03OEE9PSIsInZhbHVlIjoiSGsrMWdsLzNPK0VEbzIyM0hSVmZkNmd0TFVVeHEyc0xFRzFqZGhBSDNoRkp0bGhGT0xaT0h3SmRnZnhCQzBF ▶"
  ]
]
          session_attributes
            0 of 0   
          array:4 [▼
  "_token" => "WSI7OddH0bLbTXEocEBmIz3w2pHVNcQIQRgBtnKc"
  "_previous" => array:1 [▶
    "url" => "https://receivinghelpdesk.com/ask/does-trapezoid-have-equal-sides"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]