Practice Test Answers

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

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

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

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

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

Which rigid transformation would map triangle ABC to triangle ABF ?

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

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

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

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