Understanding the No Choice Theorem in Triangle Congruence Proofs

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This content highlights the No Choice Theorem, which states that if two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent. It outlines the relationships between various triangle congruence postulates, such as SSS, SAS, ASA, AAS, and HL. Examples are provided to illustrate how to apply these theorems to prove angle congruence in specific polygon scenarios. Understanding these concepts is crucial for mastering triangle congruence proofs in geometry.

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May 02, 2026

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Understanding the No Choice Theorem in Triangle Congruence Proofs

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7.2 Two Triangle Proof Theorems • Objectives: • Know and use no-choice theorem
Theorem 53 (No Choice Thm): If two angles of one triangle are congruent to two angles of a second triangle, then the third angles are congruent. B Y X Z A C If AX andBY, then CZ.
How can we prove triangles congruent? SSS SAS ASA AAS HL 7.2
B D P C m Example 1: Given: lie in plane m ÐC@ÐD Prove: ÐPBC@ÐPBD
M K O J G H Example 2: Given: GJKM is a rhombus Prove: