quadrilateral


Definition of Quadrilateral

  • A quadrilateral is a four-sided polygon.

Examples of Quadrilateral

More about Quadrilaterals

  • 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.

Solved Example on Quadrilateral

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 2: Use the distance formula,
Step 3:  
Step 4:
Step 5:
Step 6:
Step 7:
Step 8:
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.

Related Terms for Quadrilateral

  • Polygon
  • Parallelogram
  • Rhombus
  • Rectangle
  • Square
  • Trapezoid
  • Congruent
  • Parallel