Is an isosceles trapezoid a parallelogram?
Understand the Problem
The question is asking whether an isosceles trapezoid fits the definition of a parallelogram, which involves understanding the properties and characteristics of both shapes.
Answer
An isosceles trapezoid is not a parallelogram.
An isosceles trapezoid is not a parallelogram because it has only one pair of parallel sides, whereas a parallelogram has two pairs of parallel sides.
Answer for screen readers
An isosceles trapezoid is not a parallelogram because it has only one pair of parallel sides, whereas a parallelogram has two pairs of parallel sides.
More Information
An isosceles trapezoid has one pair of parallel sides and its non-parallel sides (the legs) are of equal length. This differs from a parallelogram, which always has two pairs of parallel sides.
Tips
A common mistake is to assume that any quadrilateral with two equal sides is a parallelogram. Always check for the requirement of having two pairs of parallel sides.
Sources
- Isosceles trapezoid - Wikipedia - en.wikipedia.org
- Is isosceles trapezoid a parallelogram? - CK-12 - ck12.org
- Proofs for Isosceles Trapezoids - Study.com - study.com