I Hate CBT's

View Original

Which Congruence Theorem Can Be Used To Prove Wxs Yzs

Question: Three quadrilaterals exist such that GHJK ≅ ASDF and GHJK ≅ VBNM.

If MV measures 3 cm, which other segment must measure 3 cm?

AF

KJ

FD

GJ

Answer: A

Question: The proof that ΔQPT ≅ ΔQRT is shown.

Given: SP ≅ SRProve: ΔQPT ≅ ΔQRT

What is the missing reason in the proof?

definition of perpendicular bisector

definition of congruence

reflexive property

substitution property

Answer: B

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

SSS

ASA

SAS

HL

Answer: D

Question: Given: RS bisects ∠MRQ; ∠RMS ≅ ∠RQS

Which relationship in the diagram is true?

ΔMNR ≅ ΔMNS by ASA

ΔRMS ≅ ΔRQS by AAS

ΔSNQ ≅ ΔSNM by SSS

ΔQNR ≅ ΔMNR by HL

Answer: B

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

LO ≅ LM

OA ≅ MA

LOA ≅ LMA

LAO ≅ LAM

Answer: D

Question:

Answer: B

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

dilation

reflection

rotation

translation

Answer: D

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?

5 units

6 units

8 units

10 units

Answer: B

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?

a reflection across the line containing AB

a rotation about point B

a reflection across the line containing CB

a rotation about point C

Answer: A

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?

AAS

SSS

SAS

HL

Answer: D