Practice Test Answers

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Which rigid transformation would map triangle ABC to triangle ABF ?

A
a reflection across the line containing line segment CB
B
a rotation about point cap A
C
a rotation about point cap b
D
a reflection across the line containing line segment BA
4

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

A
Yes, but only if line segment AB is congruent to line segment DC .
B
Yes, but only if line segment BC is congruent to line segment DC .
C
No, because line segment AB is congruent to line segment DA .
D
No, because line segment AB is not congruent to line segment AC .
5

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

A
Image with description Two separate right triangles are shown. Each triangle has a right-angle marker, and the side opposite the right angle has a single tick mark. No other sides are marked.
B
Image with description Two separate triangles are shown with no right-angle markers. In the upper triangle, the left side has a single tick mark, the lower-right side has double tick marks, and the upper-right side has triple tick marks. In the lower triangle, the bottom side has a single tick mark, the right slanted side has double tick marks, and the left side has triple tick marks.
C
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.
D
Image with description Two separate triangles are shown. In the left triangle, one side has a single tick mark, the opposite side has double tick marks, and the angle between the single-tick side and an unmarked side has an arc mark. In the right triangle, one side has a single tick mark, the opposite side has double tick marks, and the angle between the single-tick side and an unmarked side has an arc mark. No right-angle markers are shown.
6

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

A
angle cap c is congruent to angle cap m because right angles are congruent.
B
angle cap A is congruent to angle cap q because of the third angle theorem.
C
line segment cap b cap c is congruent to line segment cap n cap m because it is given.
D
line segment cap A cap b is congruent to line segment cap q cap n because they are both opposite a right angle.
7

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

A
angle cap f cap g cap h is congruent to angle cap k cap g cap j because vertical angles are congruent.
B
angle cap j cap k cap g is congruent to angle cap h cap f cap g because vertical angles are congruent.
C
angle cap f cap h cap g is congruent to angle cap j cap k cap g because right angles are congruent.
D
angle cap h cap f cap g is congruent to angle cap k cap j cap g because alternate interior angles are congruent.
8

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

A
vertex cap A to vertex cap z
B
vertex cap b to vertex cap y
C
vertex cap b to vertex cap z
D
vertex cap A to vertex cap y

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Practice Test Answers — CMS 2026-2027 NC Math 2…