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.

Have an awesome day! :)

Answer 2

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.