Question

1. choose the correct answer.

which theorem, term, or corollary is represented by the picture? the bold lines in the pictures represent the hypothesis of the theorem or corollary.
the sides are bold, the angles are not bold.
corollary to the isosceles triangle theorem
corollary 2 of the isosceles triangle theorem
isosceles triangle theorem
converse to the isosceles triangle theorem

Explanation:

The Isosceles Triangle Theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent. The Converse to the Isosceles Triangle Theorem states that if two angles of a triangle are congruent, then the sides opposite those angles are congruent. In the given picture, the sides (hypothesis) are bold (implied congruent), and we are to relate it to the theorem. The Isosceles Triangle Theorem starts with congruent sides (as in the picture where sides are bold - assumed congruent) to get congruent angles. A corollary is a proposition that follows readily from a previous proposition. But here, the basic theorem (starting with sides) is what is represented.

Answer:

Isosceles Triangle Theorem