Final answer:
An isosceles trapezoid has a midsegment connecting the midpoints of the legs and congruent base angles. Its interior angles are not necessarily complementary. Hence, only statements I and II apply to isosceles trapezoids. Therefore correct option is A
Step-by-step explanation:
The question asks which statements apply to an isosceles trapezoid. An isosceles trapezoid is a quadrilateral with one pair of parallel sides and the non-parallel sides being congruent. This gives us some properties:
- It will have a midsegment, which is a segment that connects the midpoints of the legs of the trapezoid. This midsegment is parallel to the bases and its length is the average of the lengths of the bases.
- The base angles are congruent. This means that each angle adjacent to a base is equal to the angle adjacent to that same base at the other end.
The statement about the same side interior angles being complementary does not necessarily apply to isosceles trapezoids. Complementary angles add up to 90 degrees, but there's no such requirement for the interior angles of an isosceles trapezoid to be complementary. Therefore, the correct answer is that Statements I and II apply to isosceles trapezoids, while Statement III does not. The correct option is a. I and II only.