Question

1. choose the correct answer.

which theorem, term, or corollary is represented by the picture?
isosceles triangle theorem
cpctc
corollary to the isosceles triangle theorem
converse to the isosceles triangle theorem

Explanation:

• Isosceles Triangle Theorem: States that if two sides of a triangle are congruent, then the angles opposite those sides are congruent. This is not relevant as the focus is on congruent triangles.
• CPCTC (Corresponding Parts of Congruent Triangles are Congruent): When two triangles are congruent (\(\triangle ABC\cong\triangle DEF\)), their corresponding parts (angles and sides) are congruent. The given \(\triangle ABC\cong\triangle DEF\) and the congruent angles shown in the picture align with this concept.
• Corollary to the Isosceles Triangle Theorem: Deals with properties related to isosceles triangles (e.g., equilateral triangles have all angles equal). Not relevant here.
• Converse to the Isosceles Triangle Theorem: States that if two angles of a triangle are congruent, then the sides opposite those angles are congruent. Not relevant as the focus is on congruent triangles.

Answer:

CPCTC