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Which of these would prove that triangle PQS is congruent to triangle RQT (multiple choice)

Which of these would prove that triangle PQS is congruent to triangle RQT (multiple-example-1

2 Answers

4 votes

Answer: C

Explanation:

They are a reflection and congruent by side, side, side

User XWang
by
6.6k points
3 votes

Answer:

Triangle PQS and is a reflection of triangle RQT, so the triangles are congruent by SSS.

Explanation:

The third statement will prove a congruence between the given triangles.

Basically, beacuse it implies a reflection, which is a rigid transformation, that is, the shape of size of the triangles won't change. And if they don't change their form or size, they'll be equal by Side-Side-Side postulate.

Other choices implies a dilation which change their size, and the wrong postulate AAA.

Also, from the image you can observe that one triangle is a reflection of the other across a vertical axis that passes through point Q. That's another reason why reflection is the accurate way to prove the congruence.

Therefore, the right choice is the third option.

User Justin Lok
by
6.8k points
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