Triangle Congruence — Test

Question 1

Which transformation(s) can map triangle PQR onto triangle STU ?

Revolt · Accepted Answer

reflection, then translation

Question 2

Is triangle cap m cap n cap l is congruent to triangle cap q cap n cap l ? Why or why not?

Revolt · Accepted Answer

Yes, they are congruent by either ASA or AAS.

Question 3

Could triangle JKL be congruent to triangle XYZ ? Explain.

Revolt · Accepted Answer

No, because the hypotenuse of one triangle is equal in length to the leg of the other triangle.

Question 4

Triangle DEF is congruent to triangle GHJ by the SSS theorem. Which rigid transformation is required to map triangle DEF onto triangle GHJ ?

Revolt · Accepted Answer

translation

Question 5

Is there a series of rigid transformations that could map triangle QRS to triangle ABC ? If so, which transformations could be used?

Revolt · Accepted Answer

Yes, triangle QRS can be translated so that cap r is mapped to cap b and then rotated so that cap s is mapped to cap c .

Triangle Congruence — Test Answers