Answers
Is MNL ≅ QNL? Why or why not? - answer A. Yes, they are congruent by either ASA
or AAS.
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
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
Triangle DEF is congruent to GHJ by the SSS theorem. Which rigid transformation is
required to map DEF onto GHJ? - answer D. translation
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.
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.
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
What additional information is needed to prove that the triangles are congruent using
the AAS congruence theorem? - answer C. LOA ≅ LMA
Given: bisects ∠MRQ; ∠RMS ≅ ∠RQS. Which relationship in the diagram is true? -
answer B. △RMS ≅ △RQS by AAS
Which congruence theorem can be used to prove △WXS ≅ △YZS? - answer C.
SAS
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.
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
Which pair of triangles can be proven congruent by SAS? - answer A.