Practice Test

Question 1

What is the missing reason in the proof? Statements Reasons 1. line segment ST is the perpendicular bisector of line segment RV 1. given 2. angle STR and angle STV are right angles. 2. def. of perpendicular bisector 3. line segment RS is congruent to line segment VS 3. ? 4. line segment ST is congruent to line segment ST 4 reflexive property 5. triangle RST is congruent to triangle VST 5. HL theorem

Revolt · Accepted Answer

perpendicular bisector theorem

Question 2

Which best explains whether or not triangles RST and ACB are congruent?

Revolt · Accepted Answer

The figures are congruent. triangle RST can be mapped to triangle ACB by a reflection over the x -axis and a translation 2 units to the left.

Question 3

Could triangle ABC be congruent to triangle ADC by SSS? Explain.

Revolt · Accepted Answer

Yes, but only if line segment BC is congruent to line segment DC .

Question 4

To prove that the triangles are congruent by ASA, which statement and reason could be used as part of the proof?

Revolt · Accepted Answer

angle cap f cap g cap h is congruent to angle cap k cap g cap j because vertical angles are congruent.

Question 5

Nessa proved that these triangles are congruent using ASA. Roberto proved that they are congruent using AAS. Which statement and reason would be included in Roberto’s proof that was not included in Nessa’s proof? Given: angle cap b is congruent to angle cap n ; line segment cap b cap c is congruent to line segment cap n cap m ; angle cap c is right; angle cap m is right Prove: triangle cap A cap b cap c is congruent to triangle cap q cap n cap m

Revolt · Accepted Answer

angle cap A is congruent to angle cap q because of the third angle theorem.

Question 6

First, translate ____________________. Next, rotate triangle ABC about cap b to align the sides and angles.

Revolt · Accepted Answer

vertex cap b to vertex cap y

Question 7

The congruence theorem that can be used to prove triangle BAE is congruent to triangle CAD is

Revolt · Accepted Answer

HL.

Question 8

Which rigid transformation would map triangle ABC to triangle ABF ?

Revolt · Accepted Answer

a reflection across the line containing line segment BA

Question 9

Triangle RST is rotated 180 degrees about the origin, and then translated up 3 units. Which congruency statement describes the figures?

Revolt · Accepted Answer

triangle RST is congruent to triangle ABC

Question 10

Which congruence theorem can be used to prove triangle BDA is congruent to triangle DBC ?

Revolt · Accepted Answer

HL

Practice Test Answers

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