A trapezoid is a quadrilateral with at least one pair of parallel sides. These parallel sides are called bases, and the non-parallel sides are called legs. Trapezoids have some interesting properties related to their angles and diagonals, which we'll explore further in the practice problems below. Remember, the area of a trapezoid is calculated using the formula: $A = \frac{1}{2}(b_1 + b_2)h$, where $b_1$ and $b_2$ are the lengths of the bases and $h$ is the height. Let's get practicing!
Match the term to its definition:
| Term | Definition |
|---|---|
| 1. Base | A. The perpendicular distance between the bases |
| 2. Leg | B. A line segment connecting two non-adjacent vertices |
| 3. Height | C. The non-parallel sides of a trapezoid |
| 4. Diagonal | D. A trapezoid with congruent legs |
| 5. Isosceles Trapezoid | E. The parallel sides of a trapezoid |
Complete the following paragraph using the words: parallel, bases, quadrilateral, legs, and height.
A trapezoid is a ______________ with at least one pair of ______________ sides. These sides are called ______________, and the non-parallel sides are called ______________. The ______________ is the perpendicular distance between the bases.Is it possible for a trapezoid to have three right angles? Explain your reasoning.
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