question

Which rigid transformation would map ΔAQR to ΔAKP?

answer

a rotation about point A

question

How can ΔWXY be mapped to ΔMNQ? 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 ΔABC to ΔXYZ. 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 ΔHJK to ΔLMN. 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 ΔHJK to ΔLMN?

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 ≅ NR and JL ≅ MR. What additional information is needed to show ΔJKL ≅ ΔMNR by SAS?

answer

∠K ≅ ∠N

question

If bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three options.

answer

m∠ABC = 125° and AB ≅ DB, ΔABD is isosceles with base AD, CD = 52 cm

question

If VX = WZ = 40 cm and m∠ZVX = m∠XWZ = 22°, can ΔVZX and ΔWXZ 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:
• Right angles at ∠Q and ∠T • RQ ≅ NT

answer

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