question

Which rigid transformation would map Î”AQR to Î”AKP?

answer

a rotation about point A

question

How can Î”WXY be mapped to Î”MNQ? Translate vertex W to vertex M, then reflect across the line containing _______________.

answer

WY

question

Which of these triangle pairs can be mapped to each other using both a translation and a rotation about C?

answer

A

question

Which of these triangle pairs can be mapped to each other using both a translation and a reflection across the line containing AB?

answer

D

question

Two rigid transformations are used to map Î”ABC to Î”XYZ. The first is a translation of vertex A to vertex X. What is the second transformation?

answer

a rotation about point A

question

Two rigid transformations are used to map Î”HJK to Î”LMN. The first is a translation of vertex H to vertex L. What is the second transformation?

answer

a reflection across the line containing HK

question

How can a translation and a rotation be used to map Î”HJK to Î”LMN?

answer

Translate K to M and rotate about K until HK lies on the line containing LM.

question

Which of these triangle pairs can be mapped to each other using a single translation?

answer

B

question

Which of these triangle pairs can be mapped to each other using a single reflection?

answer

A

question

In the diagram, KL â‰… NR and JL â‰… MR. What additional information is needed to show Î”JKL â‰… Î”MNR by SAS?

answer

âˆ K â‰… âˆ N

question

If bisects âˆ ACD, what additional information could be used to prove Î”ABC â‰… Î”DBC using SAS? Select three options.

answer

mâˆ ABC = 125Â° and AB â‰… DB, Î”ABD is isosceles with base AD, CD = 52 cm

question

If VX = WZ = 40 cm and mâˆ ZVX = mâˆ XWZ = 22Â°, can Î”VZX and Î”WXZ be proven congruent by SAS? Why or why not?

answer

No, the sides of the triangles intersect.

question

Triangles RQS and NTV have the following characteristics:
â€¢ Right angles at âˆ Q and âˆ T â€¢ RQ â‰… NT

answer

No, it is not possible for the triangles to be congruent.