Answered

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If two triangles have three pairs of congruent sides, then the triangles are guaranteed to be congruent.

A. True
B. False

Sagot :

GinnyAnswer
To determine whether two triangles with three pairs of congruent sides are guaranteed to be congruent, we can refer to a fundamental concept in geometry.

Step-by-Step Solution:

1. Identifying the Concept: The relevant concept here is the SSS Congruence Postulate. SSS stands for Side-Side-Side.

2. SSS Congruence Postulate: According to the SSS Congruence Postulate, if all three sides of one triangle are congruent (equal in length) to all three sides of another triangle, respectively, then the two triangles are congruent.

3. Definition of Congruent Triangles: When two triangles are congruent, it means they have the same size and shape, with corresponding sides and corresponding angles being equal.

4. Applying the Postulate: If two triangles have three pairs of congruent sides (i.e., each side of one triangle matches in length with a corresponding side in another triangle), then by the SSS Congruence Postulate, these two triangles must be congruent.

5. Conclusion: Given the above reasoning, it is certain that the triangles are guaranteed to be congruent if they have three pairs of congruent sides.

Therefore, the answer to the question is:
A. True
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