Question

Which of the following apply to a isosceles trapezoid?

I It will have a midsegment.
II The base angles are congruent.
III The same side interior angles are complementary.

a. l and ll only
b. l and ll only
c. l, ll, and lll

Answer 1

In an isosceles trapezoid, there is a midsegment that connects the midpoints of the non-parallel sides, and the base angles are congruent. The same side interior angles are not complementary; they are supplementary.Therefore correct option is A

Step-by-step explanation:

To determine which statements apply to an isosceles trapezoid, let's review each statement one by one:

1. An isosceles trapezoid will indeed have a midsegment that connects the midpoints of the non-parallel sides. This segment is parallel to the bases and the length is the average of the lengths of the two bases.
2. The base angles of an isosceles trapezoid are congruent. That is, each pair of base angles (angles sharing the same base) are equal in measure.
3. The same side interior angles are not complementary. In any trapezoid, these angles are supplementary (they add up to 180 degrees).

Therefore, statements I and II apply to an isosceles trapezoid but statement III does not. The correct answer is a. l and ll only.