Question

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

Answer 1

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

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Answer 2

Answer:

D) SSS

Step-by-step 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.