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The SSS postulate states that if the sides of one triangle are congruent to the sides of a second triangle, then the triangles are congruent.A.TrueB.False

Question

The SSS postulate states that if the sides of one triangle are congruent to the sides of a second triangle, then the triangles are congruent.

A. True
B. False

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Solution

Analyzing the Statement

  1. Definition of SSS Postulate: The SSS (Side-Side-Side) postulate is a fundamental theorem in geometry that states that if three sides of one triangle are equal in length to three sides of another triangle, then the two triangles are congruent.

  2. Understanding Congruence: Two triangles are said to be congruent if they have the same shape and size, which can be established through several criteria, one of which is the SSS postulate.

  3. Evaluating the Options: The assertion given in the question states the SSS postulate correctly.

Final Answer

Thus, the correct answer is A. True.

This problem has been solved

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If two triangles are congruent, what do we know about their corresponding sides and angles?

congruence occurs if 3 sides in one triangle are congruent to 3 sides in another triangle.

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