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. cpctc corollary 2 of the isosceles triangle theorem isosceles triangle theorem converse to the isosceles triangle theorem

Explanation:

• CPCTC (Corresponding Parts of Congruent Triangles are Congruent): This is a principle used when two triangles are already known to be congruent, and we are relating their parts. The given problem is about a single triangle (not two congruent triangles), so this is not relevant.
• Corollary 2 of the Isosceles Triangle Theorem: This usually pertains to more specific properties like equilateral triangles (a special case of isosceles triangles). The basic setup here is about a general isosceles - triangle - like side - angle relationship (not a highly specialized corollary case).
• Isosceles Triangle Theorem: The Isosceles Triangle Theorem states that if two sides of a triangle are congruent (the hypothesis, which is represented by the bold sides in the picture), then the angles opposite those sides are congruent. This matches the general structure of having the sides (hypothesis) given as congruent (bold) and relating to the angles.
• Converse to the Isosceles Triangle Theorem: The converse would start with the angles (if two angles of a triangle are congruent, then the sides opposite them are congruent). But in our case, the hypothesis is about the sides (bold sides), not the angles.

Answer:

Isosceles Triangle Theorem