question

Is MNL ≅ QNL? Why or why not?

answer

A. Yes, they are congruent by either ASA or AAS.

question

Quadrilateral ABCD is translated down and left to form quadrilateral OLMN. If AB = 6 units, BC = 5 units, CD = 8 units, and AD = 10 units, what is LO?

answer

B. 6 units

question

Three quadrilaterals exist such that GHJK ≅ ASDF and GHJK ≅ VBNM. If MV measures 3 cm, which other segment must measure 3 cm?

answer

A. AF

question

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

answer

D. translation

question

How can a translation and a reflection be used to map ΔHJK to ΔLMN?

answer

B. Translate K to N and reflect across the line containing JK.

question

Is there a series of rigid transformations that could map ΔQRS to ΔABC? If so, which transformations could be used?

answer

D. Yes, ΔQRS can be translated so that Q is mapped to A and then reflected across the line containing QS.

question

Two sides and the non-included right angle of one right triangle are congruent to the corresponding parts of another right triangle. Which congruence theorem can be used to prove that the triangles are congruent?

answer

D. HL

question

What additional information is needed to prove that the triangles are congruent using the AAS congruence theorem?

answer

C. LOA ≅ LMA

question

Given: bisects ∠MRQ; ∠RMS ≅ ∠RQS. Which relationship in the diagram is true?

answer

B. △RMS ≅ △RQS by AAS

question

Which congruence theorem can be used to prove △WXS ≅ △YZS?

answer

C. SAS

question

Could ΔJKL be congruent to ΔXYZ? Explain.

answer

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

question

In ΔXYZ, m∠X = 90° and m∠Y = 30°. In ΔTUV, m∠U = 30° and m∠V = 60°. Which is true about the two triangles?

answer

A. ΔXYZ ≅ ΔTUV

question

Which pair of triangles can be proven congruent by SAS?

answer

A.

question

Quadrilateral LMNO is reflected over the line as shown, resulting in quadrilateral CDAB. Given the congruency statement LMNO ≅ CDAB, which segment corresponds to ML?

answer

D. DC

question

In the diagram, ∠J ≅ ∠M and JL ≅ MR. What additional information is needed to show ΔJKL ≅ △MNR by SAS?

answer

D. JK ≅ MN

question

Two rigid transformations are used to map ABC to QRS. The first is a translation of vertex B to vertex R. What is the second transformation?

answer

C

question

The triangles are congruent by the SSS congruence theorem. Which rigid transformation(s) can map MNP onto TSR?

answer

C

question

Triangle QRP is congruent to triangle YXZ. What is the perimeter of triangle YXZ?
What is the perimeter of triangle YXZ?

answer

6.4

question

Given: ∠BCD is right; BC ≅ DC; DF ≅ BF; FA ≅ FE
Which relationships in the diagram are true? Check all that apply.

answer

2, 3, 5

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

B. a rotation about point H

question

Triangle GHJ is rotated 90° about point X, resulting in triangle STR. Which congruency statement is true?

answer

C. TS ≅ HG

question

Are the triangles congruent? Why or why not?

answer

A. Yes, all the angles of each of the triangles are acute.