AnswersAZ-Geometry A MA201Cumulative Exam

Cumulative Exam — Cumulative exam Answers

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Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle. The length of K M is 6 and the length of M J is 3.

Question illustration
A
9 units
B
12 units
C
15 units
D
18 units
22
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Triangle ABC is isosceles.

Question illustration
A
25°
B
30°
C
60°
D
75°
23

Which quadrilateral will always have 4-fold reflectional symmetry?

A
trapezoid
B
rhombus
C
square
D
rectangle
24

Triangles R S T and V U T are connected at point T.

Question illustration
A
RT = ST
B
3ST = UT
C
∠R ≅ ∠V
D
∠V ≅ ∠U
25

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
26

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
27

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.
28

Triangle ABC was reflected over line m, then dilated by a scale factor between 0 and 1. Which diagram illustrates these transformations?

A
Triangle A B C is reflected across line m and then is dilated to form smaller triangle A double-prime B double-prime C double-prime
Option A
B
Triangle A B C is rotated about line m and then dilated to form smaller triangle A double-prime B double-prime C double-prime
Option B
C
Triangle A B C is reflected across line m and then is dilated to form larger triangle A double-prime B double-prime C double-prime
Option C
D
Triangle A B C is rotated about line m and then dilated to form larger triangle A double-prime B double-prime C double-prime
Option D
29

What additional information could be used to prove ΔABC ≅ ΔMQR using SAS? Select two options.

A
m∠A = 64° and AB = MQ = 31 cm
B
CB = MQ = 29 cm
C
m∠Q = 56° and CB ≅ RQ
D
m∠R = 60° and AB ≅ MQ
E
AB = QR = 31 cm
30

Which statements regarding are true? Select three options.

Question illustration
A
E F + F G greater-than E G
Option A
B
E G + F G greater-than E F
Option B
C
E G minus F G less-than E F
Option C
D
E F minus F G greater-than E G
Option D
E
E G + E F less-than F G
Option E
31

Two parallel lines are crossed by a transversal.

Question illustration
A
61.8°
B
81.8°
C
118.2°
D
128.2°
32

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

A
circle
B
line segment
C
perpendicular lines
D
ray
33

On a coordinate plane, a triangle has points A prime (negative 2, 10), B prime (negative 6, 4), and (negative 10, 8).

Question illustration
A
(10, –2)
B
(–10, 2)
C
(–2, –10)
D
(2, 10)
34

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
35

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

Question illustration
A
HL
B
SAS
C
SSS
D
ASA
E
AAS
36

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
37

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.
38

Line ST and point V are shown on the graph.

Question illustration
A
−7
B
−5
C
2
D
3
39

[BLANK]

A
congruence
B
symmetric
C
reflexive
D
transitive
40

Which figures are shown in the diagram? Select three options.

A
line CD
B
point D
C
ray CD
D
ray DC
E
segment CD

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