# Geometry Unit Test (88%)

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question
Is MNL ≅ QNL? Why or why not?
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?
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?
A. AF
question
Triangle DEF is congruent to GHJ by the SSS theorem. Which rigid transformation is required to map DEF onto GHJ?
D. translation
question
How can a translation and a reflection be used to map ΔHJK to ΔLMN?
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?
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?
D. HL
question
What additional information is needed to prove that the triangles are congruent using the AAS congruence theorem?
C. LOA ≅ LMA
question
Given: bisects ∠MRQ; ∠RMS ≅ ∠RQS. Which relationship in the diagram is true?
B. △RMS ≅ △RQS by AAS
question
Which congruence theorem can be used to prove △WXS ≅ △YZS?
C. SAS
question
Could ΔJKL be congruent to ΔXYZ? Explain.
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?
A. ΔXYZ ≅ ΔTUV
question
Which pair of triangles can be proven congruent by SAS?
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?
D. DC
question
In the diagram, ∠J ≅ ∠M and JL ≅ MR. What additional information is needed to show ΔJKL ≅ △MNR by SAS?
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?
C
question
The triangles are congruent by the SSS congruence theorem. Which rigid transformation(s) can map MNP onto TSR?
C
question
Triangle QRP is congruent to triangle YXZ. What is the perimeter of triangle YXZ? What is the perimeter of triangle YXZ?
6.4
question
Given: ∠BCD is right; BC ≅ DC; DF ≅ BF; FA ≅ FE Which relationships in the diagram are true? Check all that apply.