Subjects geometry

Isosceles Theorem

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Isosceles Theorem


1. The problem asks to identify the theorem, term, or corollary represented by a triangle with two sides marked as equal (bold sides) and no angles marked. 2. The bold sides indicate the hypothesis: two sides of a triangle are congruent. 3. The Isosceles Triangle Theorem states: If two sides of a triangle are congruent, then the angles opposite those sides are congruent. 4. The Converse to the Isosceles Triangle Theorem states: If two angles of a triangle are congruent, then the sides opposite those angles are congruent. 5. Corollary 2 of the Isosceles Triangle Theorem usually refers to properties derived from the main theorem, such as the base angles of an isosceles triangle being congruent. 6. CPCTC (Corresponding Parts of Congruent Triangles are Congruent) is used after proving triangles congruent, not directly from side markings alone. 7. Since the bold sides represent the hypothesis (two sides congruent) and no angles are marked, the correct answer is the Isosceles Triangle Theorem. Final answer: **Isosceles Triangle Theorem**.