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"If three angles and two sides of two triangles are congruent, are the triangles congruent? Why or why not?"

User MindGame
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1 Answer

2 votes

Answer:

yes

Explanation:

because the corresponding angles are congruent, the triangles are congruent through CPCTC. If two sides are congruent and an included angle, then the triangles are congruent through the SAS postulate. And if two sides and a non-included angle are congruent then the triangles are congruent through the AAS postulate. Any way of looking at this proves congruency through various postulates, therefore the trianlges are congruent.

User XRay
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