What are the 5 properties of a parallelogram?
- Opposite sides are parallel. …
- Opposite sides are congruent. …
- Opposite angles are congruent. …
- Same-Side interior angles (consecutive angles) are supplementary. …
- Each diagonal of a parallelogram separates it into two congruent triangles. …
- The diagonals of a parallelogram bisect each other.
Do all parallelograms have two pair of parallel sides?
You have learned that a parallelogram is a closed, plane figure with four sides. It is a quadrilateral with two pairs of parallel, congruent sides. Its four interior angles add to 360° 360 ° and any two adjacent angles are supplementary, meaning they add to 180° 180 °. Opposite (non-adjacent) angles are congruent.
How many pairs of parallel sides does a parallelogram have?
It also has another pair of parallel sides, which we mark with two arrows. A parallelogram has two pairs of parallel sides. Each side is always parallel to the side that is opposite to it. A parallelogram is any four-sided shape that contains two pairs of parallel sides, where each side is parallel to the one opposite.
Does parallelogram have all right angles?
A Parallelogram can be defined as a quadrilateral whose two s sides are parallel to each other and all the four angles at the vertices are not 90 degrees or right angles, then the quadrilateral is called a parallelogram. The opposite sides of parallelogram are also equal in length.
Do all parallelograms have 4 equal sides Yes or no?
A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal.
Do all sides of a parallelogram have the same length?
A parallelogram can have one pair or two pairs of parallel sides. All sides of a parallelogram have the same length. All angles of a parallelogram have the same measure.
What parallelogram has all sides equal?
(i) It is rectangle. (ii) It has all its sides of equal length. (iii) Its diagonals bisect each other at right angle.
Does a parallelogram have 4 sides of equal length?
Rhombus: A parallelogram with 4 sides with equal length.
Does a parallelogram have opposite sides that are equal length?
A quadrilateral is a parallelogram if: its opposite angles are equal, or. its opposite sides are equal, or. one pair of opposite sides are equal and parallel, or.
What all sides are equal?
Equilateral – all the sides are equal lengths, and all the internal angles are 60°.
Are all 4 angles of a parallelogram equal?
Are all Angles in a Parallelogram Equal? No, all the angles of a parallelogram are not equal. There are two basic theorems related to the angles of a parallelogram which state that the opposite angles of a parallelogram are equal and the consecutive (adjacent) angles are supplementary.
Which quadrilateral has all sides equal?
(1) Rectangle(p) A quadrilateral having its opposite sides equal and parallel.(3) Parallelogram(r) A parallelogram having all sides equal and each of the angle is a right angle.(4) Rhombus(s) A quadrilateral in which a pair of opposite sides are parallel.(5) Trapezium(t) A parallelogram having all sides equal.1 more row
What Is parallelogram?
Real-Life Examples of A Parallelogram
- When we look around us, we can see multiple parallelogram-like shapes and objectsin the form of buildings, tiles, or paper. Buildings: Many buildings are constructed, keeping in mind the shape of parallelograms. A famous real-life illustration is the Dockland Office Building in Hamburg, Germany. Tiles: Tiles come in various shapes and sizes. One of the most found tile shapes is th…
Properties of Parallelograms
- In a parallelogram, the opposite sides are parallel to each other. Here, AB || CD, and AC || BD.
- The opposite sides of a parallelogram are equal in length. Here, AB = CD and AC = BD
- The measurement of opposite angles of a parallelogram is equal. Here, ∠A = ∠C and ∠B = ∠D
- Like all other quadrilaterals, the sum of all the angles of a parallelogram is 360°.
Types of Parallelograms
- There arethree unique kinds of parallelograms: 1. Rhombus: A rhombus is a parallelogram in which all sides are equal. Here, AB = BC = CD = DA. ABCD is a rhombus. 1. Square: A square is a parallelogram where all sides and diagonals are equal. The angles are right angles. Here, AB = BC = CD = DA and ∠A = ∠B =∠C = ∠D = 90 degrees and also AD = BC. ABC...
Area of A Parallelogram
- The area of a parallelogram is given by the formulaA = bh, where b is the length of the base, and “h” is the height.
The Perimeter of A Parallelogram
- The perimeter of a parallelogram equals the sum of the lengths of the four sides. Since the opposite sides of a parallelogram are equal, its perimeter can also be expressed as 2 x the sum of adjacent sides, i.e., 2 (AB + BC) SplashLearn is transforming the way of education for elementary school kids from kindergarten to Grade 5th. SplashLearn is motivating kids to study math throug…
Solved Examples
- Example 1.
In the figure below, ABCD is a parallelogram where ∠DAB = 75° and ∠CBD = 60°. Calculate ∠BDC. Solution: As we know, the opposite angles of a parallelogram are equal. Therefore, ∠DCB = ∠DAB = 75°. We also know that the sum of the angles of a triangle is 180°. Now, consider ∆ BCD. Here, … - Example 2
Find the area of this parallelogram with a base of 15 centimeters and a height of 6 centimeters. Solution: A = b × h A = (15 cm) × (6 cm) A = 90 cm2 Example 3 Two adjacent sides of a parallelogram are 5 cm and 3 cm. Find its perimeter. Solution: We know that opposite sides of a …