Practice Test

Question 1

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

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

Question 2

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

C: perpendicular bisector theorem

Question 3

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

Revolt · Accepted Answer

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

Question 4

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

Revolt · Accepted Answer

A: vertex  cap b  to vertex  cap y

Question 5

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

Revolt · Accepted Answer

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

Question 6

Which rigid transformation would map triangle ABC to triangle ABF ?

Revolt · Accepted Answer

B: a reflection across the line containing  line segment BA

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