Question

20
if any two sides and any angle are congruent in two triangles, then the triangles must be congruent
a. true
b. false
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Explanation:

Step1: Recall triangle congruence rules

Triangle congruence requires specific conditions (like SAS, ASA, SSS, AAS) where the angle and sides are in corresponding positions. "Any two sides and any angle" doesn't guarantee congruence (e.g., SSA is not a valid congruence criterion as it can form non - congruent triangles in some cases).

Step2: Evaluate the statement

The statement says "If any two sides and any angle are congruent in two triangles, then the triangles must be congruent". Since the angle might not be the included angle (in the case of SSA) and the triangles may not be congruent, the statement is false.

Answer:

B. False