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By which rule are these triangles congruent? A) AAS B) ASA Eliminate C) SAS D) SSS

By which rule are these triangles congruent? A) AAS B) ASA Eliminate C) SAS D) SSS-example-1

2 Answers

2 votes
The answer is D) SSS.
We have 3 pairs of congruent sides from each triangles, including the shared side.

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User Pwhitt
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3 votes

Answer:

D) SSS

Explanation:

In the given image you can observe two triangles with congruent sides,


PQ \cong SQ\\PN \cong SN\\QN \cong QN

Notice that all three corresponding sides are congruent. That means,


\triangle PQN \cong \triangle SQN, by SSS postulate.

The SSS postulate states that if two triangles have all three corresponding sides congruent, then those triangles are congruent.

Therefore, the right answer is D) SSS.

User Ramdhas
by
7.2k points

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