AnswersGeometry ACPA 2026Unit Test

Unit Test — Cumulative exam Answers

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The triangles are congruent by the SSS congruence theorem.

Question illustration
A
reflection, then rotation
B
reflection, then translation
C
rotation, then translation
D
rotation, then dilation
2
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Figure RHOM is a rhombus. and are the diagonals of the rhombus, as well as angle bisectors of the vertex angles, and they create four isosceles triangles: HOM, MHR, RHO, and OMR.

Question illustration
A
It must be acute.
B
It must be a right angle.
C
It must be equal to MRH.
Option C
D
It must be equal to RMS.
Option D
3

Two parallel lines are crossed by a transversal.

Question illustration
A
61.8°
B
81.8°
C
118.2°
D
128.2°
4

Triangle K L J is cut by line segment N O. Line segment N O goes from side L K to side L J. The length of L N is (x minus 3) inches, the length of N K is (x + 2) inches, the length of L O is (x minus 4) inches, and the length of O J is x inches.

Question illustration
A
1
B
6
C
8
D
10
5

Triangle A B C is cut by line segment S T. Line segment S T goes from side A B to side C B. Lines S T and A C are parallel. The length of S B is 10 feet, the length of B T is 9 feet, and the length of C T is 2.7 feet.

Question illustration
A
1.89 ft
B
2.43 ft
C
3 ft
D
7 ft
6

Assume lines c and d are parallel and 2 measures 98°. Which statements are true? Select three options.

Question illustration
A
m3 = m6 = 98°
Option A
B
m3 = m14 = 98°
Option B
C
m4 = m8 = 82°
Option C
D
m4 = m12 = 82°
Option D
E
m5 = m8 = 82°
Option E
7

The proof that ΔABC ≅ ΔCDA is shown.Given: ∥ and ∥ Prove: ΔABC ≅ ΔCDA

Question illustration
A
perpendicular bisector theorem
B
Pythagorean theorem
C
HL theorem
D
SSS congruence theorem
8

3 lines are shown. A line with points M, H, K intersects with a line with points J, H, L at point H. Another line extends from point H to point N in between angle K, H, J. Angle M H L is (3 x + 20) degrees, angle K H N is (x + 25) degrees, and angle J H N is (x + 20) degrees.

Question illustration
A
25°
B
45°
C
50°
D
95°
9

Consider the diagram.

Question illustration
A
2 units.
B
5 units.
C
17 units.
D
33 units.
10

congruencesymmetricreflexivetransitive

A
congruence
B
symmetric
C
reflexive
D
transitive
11

Triangles K L P and Q M N are shown. Triangle Q M N is slightly higher than triangle K L P and side Q M connects to side K P. Point M is at the midpoint of K P. Sides K L and Q N are congruent. Angles K L P and Q N M are congruent. Angles K P L and Q M N are both right angles.

Question illustration
A
No, KLP and QNM are congruent but KLP cannot be mapped to QNM using a series rigid transformations.
Option A
B
No, KLP and QNM are not congruent.
Option B
C
Yes, KLP can be reflected across the line containing KP and then translated so that P is mapped to M.
Option C
D
Yes, KLP can be rotated about P and then translated so that L is mapped to N.
Option D
12

Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5.

Question illustration
A
4 ft
B
4.8 ft
C
6 ft
D
7.2 ft
13

Which best explains why the orthocenter of an obtuse triangle is outside the triangle?

A
All three of the altitudes lie entirely outside the triangle.
B
Two of the altitudes lie entirely outside the triangle.
C
All three of the medians lie entirely outside the triangle.
D
Two of the medians lie entirely outside the triangle.
14

Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?

Question illustration
A
AD = AC
Option A
B
AC = 4DB
C
AB + DC = AC
D
BK = KC
15

Planes A and B are shown.

Question illustration
A
Line p must be drawn in plane B.
B
Line p must be perpendicular to line m.
C
Line p must be drawn so that it can lie in the same plane as line l.
D
Line p must be drawn in the same plane as line n.
16

On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4).

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
17

On a coordinate plane, 2 triangles are shown. Triangle 1 has points at A (negative 3, 4), B (negative 2, 1), C (negative 4, 1). Triangle 2 has points at A prime (4, negative 2), B prime (3, negative 5), C prime (5, negative 5).

Question illustration
A
(x, y) → (x + 7, y + 6)
B
(x, y) → (x + 7, y – 6)
C
(x, y) → (x – 6, y + 7)
D
(x, y) → (x + 6, y + 7)
18

On a coordinate plane, a line goes through (0, negative 4) and (12, 6). A point is at (12, negative 2).

Question illustration
A
y = – + 10
Option A
B
y = – + 12
Option B
C
y = – – 10
Option C
D
y = – 12
Option D
19

Which is precisely defined using the undefined terms point and plane?

A
circle
B
line segment
C
perpendicular lines
D
ray
20

Which congruence theorems can be used to prove ΔEFG ≅ ΔJHG? Select two options.HLSASSSSASAAAS

Question illustration
A
HL
B
SAS
C
SSS
D
ASA
E
AAS

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