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what are the parts of a cartesian plane

by Melyssa Bechtelar Published 3 years ago Updated 3 years ago

The number plane, or Cartesian plane, is divided into four quadrants by two perpendicular lines called the x-axis, a horizontal line, and the y-axis, a vertical line. These axes intersect at a point called the origin.

What are the parts of Cartesian coordinate system?

In three-dimensional space, the Cartesian coordinate system is based on three mutually perpendicular coordinate axes: the x-axis, the y-axis, and the z-axis, illustrated below. The three axes intersect at the point called the origin.

What are the 4 parts of a coordinate plane?

four quadrantsThe coordinate plane is divided into four quadrants. Quadrant one (QI) is the top right fourth of the coordinate plane, where there are only positive coordinates. Quadrant two (QII) is the top left fourth of the coordinate plane. Quadrant three (QIII) is the bottom left fourth.

What are the features of the Cartesian plane?

The Cartesian plane consists of two directed lines that perpendicularly intersect their respective zero points. The horizontal directed line is called the x-axis and the vertical directed line is called the y-axis.

What is Cartesian plane explain with diagram?

A Cartesian plane is a graph with two axes, one is called the x-axis and the other one is the y-axis. These two axes are perpendicular to each other. The origin (O) is in the exact center of the graph intersecting point of the two axes.

What is quadrant in Cartesian plane?

Quadrant is the region enclosed by the intersection of the X-axis and the Y-axis. On the cartesian plane when the two axes, X-axis and Y-axis, intersect with each other at 90º there are four regions formed around it, and those regions are called quadrants.

How do you plot a Cartesian plane?

0:303:51Plotting points on the Cartesian plane - YouTubeYouTubeStart of suggested clipEnd of suggested clipThe X will always be the first coordinate.MoreThe X will always be the first coordinate.

How many quadrants are there in a Cartesian plane?

fourThe coordinate axes divide the plane into four regions called quadrants (or sometimes grid quadrants or Cartesian coordinate quadrants).Sep 1, 2021

How do you locate the object in the Cartesian plane?

Finding the location (address) of an object or a point in a Cartesian plane by using the coordinates (x-coordinate and y-coordinate) of the object or point.

How many quadrants comes in the Cartesian?

The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes.

What is the name of each part of the Cartesian plane find by these two lines?

The name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane are x-axis and y-axis, the name of each part of the plane formed by these two lines is called a quadrant, the name of the point where these two lines intersect is called as Origin (O).

What is meant by the cartesian plane?

In Mathematics, a cartesian plane is a two-dimensional coordinate plane, which is formed by the intersection of two lines called x-axis and y-axis.

What is meant by abscissa and ordinate?

In cartesian coordinates, the term abscissa represents the x-coordinate value and the term ordinate represents the y-coordinate value.

What is meant by origin in the cartesian plane?

The origin is an ordered pair of (0, 0), where the x-axis and y-axis intersect in the cartesian plane.

Does the point (-3, -4) lie in the third quadrant?

Yes, the point (-3, -4) lies in the third quadrant. As, both the values of x and y takes the negative value, the point should be located in the thi...

Do the x-axis and y-axis intersect perpendicular to each other in the cartesian plane?

Yes, the x-axis and y-axis intersect perpendicular to each other in the cartesian plane, and it makes the four quadrants.

What is the Cartesian plane?

In Mathematics, the cartesian plane is defined as a two-dimensional coordinate plane, which is formed by the intersection of the x-axis and y-axis. The x-axis and y-axis intersect perpendicular to each other at the point called the origin. In this article, we are going to discuss what is a cartesian plane, and the different parts ...

What is the coordinate plane of a cartesian plane?

The cartesian plane is a two-dimensional coordinate plane formed by the intersection of two perpendicular lines. The horizontal line is known as X-axis, and the vertical line is known as Y-axis. The coordinate point (x, y) on the Cartesian plane says that the horizontal distance of the point from the origin is x, and the vertical distance is y.

What is the order of the coordinates in a cartesian plane?

The ordered pair in the cartesian plane is called the cartesian coordinates. The cartesian coordinates are of the form (x, y). The ordered pairs in the two-dimensional plane are referred to as the abscissa and ordinate.

What are the quadrants of a plane?

Cartesian Plane Quadrants. The X-axis and Y-axis split the plane into four parts, and they are called quadrants. Quadrants are denoted as I, II, III, and IV in an anticlockwise direction. The axes in the plane are called Cartesian axes, and the plane is known as the Cartesian plane. OY’ = Negative y-axis.

What is the first number in an ordered pair called?

Abscissa : The first number in the ordered pair is called the abscissa. In other words, the value of x in the ordered pair is called the abscissa. It is the distance of any point on the plane from the y-axis. Ordinate: The second number in the ordered pair is called the ordinate.

Which plane has a perpendicular axis?

The 3D Cartesian plane has one more axis perpendicular to the normal Cartesian plane. For the XY plane, there is an axis Z which is perpendicular to the XY plane. Any point lying on this plane is defined by the set of three points (x, y, z). Here, x represents the position along the X-axis, y defines the position along the Y-axis, and z denotes the position along the Z-axis. The given graph shows the 3D Cartesian plane with three axes X, Y, and Z.

What is the point at which the x-axis and y-axis intersect?

In the cartesian plane, the point at which the x-axis and y-axis intersect is called the origin. In the cartesian plane, the origin is represented by an ordered pair or the cartesian coordinate (0, 0).

What are the parts of the Cartesian plane?

Each of these regions is called quadrants and the elements of the Cartesian plane are called points.

How many regions are there in the coordinate plane?

As shown in the previous figures, the coordinate axes generate four different regions which are the quadrants of the Cartesian plane, which are denoted by the letters I, II, III Y IV and these differentiate each other in the sign that the points that are in each of them have.

What is the coordinate of a point in quadrant IV?

In the quadrant IV the points have a positive"x"coordinate and a negative"y"coordinate. For example the point S = (6, -6) .

Where is the positive half of the X axis?

The positive half of the X axis is to the right of the origin and the positive half of the Y axis is upstream of the origin. This allows to distinguish the four quadrants of the Cartesian plane which is very useful when plotting points in the plane.

Which plane has two perpendicular lines?

To construct the Cartesian plane two real perpendicular lines are chosen, for convenience one horizontal and the other vertical, whose point of intersection is the origin of both lines.

What is the point of quadrant 2?

The points of the quadrant II have their negative"x"coordinate and the positive"y"coordinate. For example, the point Q = (- 4.5) . It is graphical proceeding as in the previous case.

What is a Cartesian plane?

What is Cartesian Plane? A Cartesian plane is a graph with two axes, one is called the x-axis and the other one is the y-axis. These two axes are perpendicular to each other. The origin (O) is in the exact center of the graph intersecting point of the two axes. Numbers to the right of the zero on the x-axis are positive and the numbers to ...

What are the points on the cartesian plane called?

Points on the cartesian plane are called ordered pairs written as (x , y). The values that come first in ordered pairs are plotted along the horizontal line (x-axis) while the second number of ordered pairs is plotted along the vertical line (y-axis).

What is the plane of lines that intersect at a point called the origin?

These axes divide the plane into four parts called quadrants. This plane is called the cartesian plane or coordinate plane or XY- plane.

What is a two dimensional plane?

A two-dimensional plane that is formed by the intersection of one horizontal number line and one vertical number line, referred as x-axis and y-axis respectively is called a two dimensional cartesian plane. These lines are perpendicular to each other and intersect at a point O called the origin. These axes divide the plane into four parts called ...

What is a graph with two perpendicular lines called?

Cartesian Plane Definition. A graph with two perpendicular number lines used to describe any point in the plane using an ordered pair of numbers is called a Cartesian Plane or the coordinate plane. Where one is vertically referred to an y -axis and the other is horizontally referred to as x- axis and both form right angles with one another.

How to draw a quadrant on a paper?

Take a plain sheet of paper, draw one horizontal line called X-axis and one vertical line called Y-axis such that it intersects at a point O. These two axes divide the cartesian plane into 4 parts each part is called a quadrant. A quadrant is ¼th part of a cartesian plane divided by coordinate axes. There are four corners you need ...

What is the right of zero on the x-axis?

Numbers to the right of the zero on the x-axis are positive and the numbers to the left of zero are negative. For the y-axis, numbers below zero are negative and numbers above are positive.Let us study What is cartesian plane in detail.The Cartesian Plane is also referred to as the x-y plane or the coordinate plane.

What is Cartesian plane?

The Cartesian plane is like a map grid. Just like the map helps you find the shoe store or post office, the Cartesian plane helps you locate a pair of values. Create an account.

What are the positive and negative numbers on a Cartesian plane?

The Cartesian Plane is very much like a map grid. Instead of using the compass directions (north, south, east, west), you use positive and negative numbers. East and north are positive, while west and south are negative.

How to list coordinates in order?

Since you always go horizontally first and vertically second, you just need to list the two numbers (or coordinates) in order. The car is at (2,2). You always put parentheses around the two coordinates as a clue that the numbers represent a location on the Cartesian plane. Written this way, we call (2,2) an ordered pair.

What is the vertical direction of a graph?

Similarly, the vertical direction is usually called the y direction. If y = 1, then you will go up to the first red line above the thicker x -axis. As you travel upward to y = 1, you will slide your finger along the blue line, the y -axis.

What are the elements and characteristics that make up the Cartesian plane?

So, The elements and characteristics that make up the Cartesian plane are the coordinate axes, the origin, the quadrants, and the coordinates. Next, we explain each one to you.

What is the Cartesian plane?

A Cartesian plane or Cartesian system is called an orthogonal coordinate diagram used for geometric operations in the Euclidean space (that is, the geometric space that meets the requirements formulated in ancient times by Euclid).

What are the two lines that connect at a point in the plane called?

Coordinate axes are called the two perpendicular lines that interconnect at a point in the plane. These lines are called the abscissa and the ordinate. Abscissa : the abscissa axis is arranged horizontally and is identified by the letter “x”.

How many quadrants are there in the Cartesian plane?

The X and Y axes divide the Cartesian plane into four quadrants. As we have seen, the Cartesian plane is constituted by the crossing of two coordinate axes, that is, two infinite straight lines, identified with the letters x (horizontal) and on the other hand y (vertical).

What do coordinates allow you to locate?

The coordinates allow you to locate points in the Cartesian plane.

How many axes are there in the axis of a sphere?

It is a two-dimensional system, consisting of two axes that extend from an origin to infinity (forming a cross). These axes are intercepted at a single point (denoting the point of origin of coordinates or point 0.0).

How are coordinates formed?

The coordinates are formed by assigning a certain value to the “x” axis and another value to the “y” axis. This is represented as follows:

image

Content

  1. Points of the Cartesian plane
  2. Quadrants of the Cartesian plane
  3. Quadrant I
  4. Quadrant II
  1. Points of the Cartesian plane
  2. Quadrants of the Cartesian plane
  3. Quadrant I
  4. Quadrant II
See more on warbletoncouncil.org

Quadrants of The Cartesian Plane

  • As can be seen in the previous figures, the coordinate axes generate four different regions that are the quadrants of the Cartesian plane, which are denoted by the letters I,II, III Y IV and these differ from each other in the sign possessed by the points that are in each of them.
See more on warbletoncouncil.org

Quadrant I

  • The points of the quadrant Iare those that have both coordinates with a positive sign, that is, their x coordinate and y coordinate are positive. For example, the point P = (2,8). To graph it, point 2 is located on the "x" axis and point 8 on the "y" axis, then the vertical and horizontal lines are drawn respectively, and where they intersect is where the point is. P.
See more on warbletoncouncil.org

Quadrant II

  • The points of the quadrant II they have a negative "x" coordinate and a positive "y" coordinate. For example, the pointQ = (- 4.5). It is graphed proceeding as in the previous case.
See more on warbletoncouncil.org

Quadrant III

  • In this quadrant the sign of both coordinates is negative, that is, the “x” coordinate and the “y” coordinate are negative. For example, the point R = (- 5, -2).
See more on warbletoncouncil.org

Quadrant IV

  • In the quadrant IV the points have a positive "x" coordinate and a negative "y" coordinate. For example the point S = (6, -6).
See more on warbletoncouncil.org

References

  1. Fleming, W., & Varberg, D. (1991). Algebra and trigonometry with analytical geometry.Pearson Education.
  2. Larson, R. (2010). Precalculus(8 ed.). Cengage Learning.
  3. Leal, J. M., & Viloria, N. G. (2005). Plane Analytical Geometry.Mérida - Venezuela: Editorial Venezolana C. A.
  1. Fleming, W., & Varberg, D. (1991). Algebra and trigonometry with analytical geometry.Pearson Education.
  2. Larson, R. (2010). Precalculus(8 ed.). Cengage Learning.
  3. Leal, J. M., & Viloria, N. G. (2005). Plane Analytical Geometry.Mérida - Venezuela: Editorial Venezolana C. A.
  4. Oteyza, E. (2005). Analytic geometry(Second ed.). (G. T. Mendoza, Ed.) Pearson Education.
See more on warbletoncouncil.org

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        • 1. what-are-the-parts-of-a-cartesian-plane
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        • 22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
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