Question

1. what does the base angles theorem state in regards to isosceles triangles? base angles are complimentary base angles are right angles base angles are equal base angles are supplementary

Explanation:

The base angles theorem for isosceles triangles states that if two sides of a triangle are equal (the triangle is isosceles), then the angles opposite those sides (the base angles) are equal.

• "Base angles are complimentary" is incorrect because complementary angles sum to 90°, and base angles in an isosceles triangle don't necessarily sum to 90°.
• "Base angles are right angles" is incorrect as base angles in an isosceles triangle are only right angles in a specific case (isosceles right triangle), not in general.
• "Base angles are supplementary" is incorrect because supplementary angles sum to 180°, and the sum of all angles in a triangle is 180°, so two base angles can't be supplementary (unless the triangle is degenerate, which it's not).
• "Base angles are equal" matches the base angles theorem.

Answer:

C. Base angles are equal (assuming the third option is labeled C; if the original options have different labels, adjust the label but keep the text "Base angles are equal").