Cumulative Exam — Cumulative exam Answers

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Angle KLM and angle MLN are a linear pair.

Question illustration
A
Angles RLN and MLK would be vertical angles.
B
Angles RLN and MLN would be vertical angles.
C
Angles RLN and KLM would be a linear pair.
D
Angles RLN and KLN would be a linear pair.
3

Triangle EFG is transformed to create triangle E'F'G'.

Question illustration
A
translation
B
stretch
C
rotation
D
reflection
4

In the triangles, TR = GE and SR = FE.

Question illustration
A
1.6 ft
B
3.0 ft
C
3.2 ft
D
4.0 ft
5

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
6

Complete the paragraph proof.Given: M is the midpoint of Prove: ΔPKB is isosceles

Question illustration
A
corresponding parts of congruent triangles are congruent
B
base angles of isosceles triangles are congruent
C
of the definition of congruent segments
D
of the definition of a right triangle
7

Triangle N L M is reflected over a line to form triangle A B C.

Question illustration
A
ΔNLM ≅ ΔCAB
B
ΔNLM ≅ ΔCBA
C
ΔNLM ≅ ΔBCA
D
ΔNLM ≅ ΔBAC
8

Which statements about the diagram are true? Select three options.

A
x = 63
B
y = 47
C
z = 117
D
x + y = 180
E
x + z = 180
12

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
15

On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20).

Question illustration
A
6th Street and 11th Avenue
B
10th Street and 17th Avenue
C
9th Street and 15th Avenue
D
8th Street and 14th Avenue
16

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
18

Triangle A C F is shown. Lines are drawn from each point to the opposite side and intersect at point D. Line segments A E, F B, and C G are formed. The length of line segment A D is 12 and the length of line segment D E is 4.

Question illustration
A
Yes, point D is the point of intersection of segments drawn from all three vertices.
B
Yes, DE is three-quarters of the length of the full segment.
C
No, DE should be longer than AD.
D
No, the ratio between AD and DE is 3:1.
20

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.

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