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Quadrilateral

Definition Of Quadrilateral

A quadrilateral is a four-sided polygon.

More About Quadrilateral

Parallelogram: A quadrilateral with two pairs of opposite sides parallel
Rhombus: A parallelogram with four congruent sides.
Rectangle: A parallelogram with four right angles.
Square: A parallelogram with four congruent sides and four right angles.
Trapezoid: A quadrilateral with only one pair of parallel sides.

   

Video Examples: Quadrilateral Properties

Examples of Quadrilateral

Solved Example on Quadrilateral

Ques: A quadrilateral with vertices (0, 0), (5, 0), (8, 4) and (3, 4) forms a ________.

Choices:

A. Rhombus
B. Square
C. Rectangle
D. Trapezoid
Correct Answer: A

Solution:

Step 1: Let (0, 0), (5, 0), (8, 4), and (3, 4) be A, B, C, and D respectively. 
 
Step 9: The lengths of the sides AB, BC, CD, and DA are equal and the lengths of the diagonals AC and BD are not equal in quadrilateral ABCD.
Step 10: So, ABCD is a rhombus.