Practice Test

Question 1

Which rigid transformation would map triangle ABC to triangle ABF ?

Revolt · Accepted Answer

a reflection across the line containing line segment BA

Question 2

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 3

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

Revolt · Accepted Answer

HL.

Question 4

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 5

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

Revolt · Accepted Answer

HL

Question 6

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 7

Which pair of triangles can be proven congruent by the HL theorem?

Revolt · Accepted Answer

Image with description Two separate right triangles are shown. In each triangle, the side opposite the right angle has double tick marks, and one side adjacent to the right angle has a single tick mark.

Question 8

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 BAC

Question 9

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 10

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.

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