AnswersMO-Geometry AIncenter and Circumcenter

Incenter and Circumcenter — Unit test Answers

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Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?

A
Angle L is a base angle and measures 36°.
B
Angle L is a base angle and measures 72°.
C
Angle L is a vertex angle and measures 36°.
D
Angle L is a vertex angle and measures 72°.
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On a coordinate plane, 2 lines are shown. Line C D has points (negative 2, 4) and (0, negative 4). Line F G has points (negative 4, 0) and (4, 2).

Question illustration
A
They are perpendicular because their slopes are equal.
B
They are perpendicular because their slopes are negative reciprocals.
C
They are not perpendicular because their slopes are equal.
D
They are not perpendicular because their slopes are negative reciprocals.
26

Point X is the circumcenter of ΔABC.What is the length of XB?

Question illustration
A
4.2 cm
B
4.6 cm
C
4.8 cm
D
5.3 cm
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30

Point Z is the incenter of ΔSRT.

Question illustration
A
24°
B
31°
C
35°
D
62°
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33

Triangle KNM is shown.

Question illustration
A
KN = NM
B
KN + NM = KM
C
KM = 2(NM)
D
KN = KM
Option D
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35

Two parallel lines are crossed by a transversal.

Question illustration
A
y = 40
B
y = 80
C
y = 100
D
y = 120
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37

In the diagram, the length of segment QV is 15 units.

Question illustration
A
4 units
B
11 units
C
14 units
D
15 units
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39

The lengths of the sides of triangle XYZ are written in terms of the variable m, where m ≥ 6.

Question illustration
A
mX < mZ < mY
Option A
B
mY < mZ < mX
Option B
C
mY < mX < mZ
Option C
D
mZ < mY < mX
Option D
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43

On a coordinate plane, a line goes through (negative 5, negative 4) and (0, negative 3). A point is at (negative 2, 2).

Question illustration
A
y = x + 4
Option A
B
y = x +
Option B
C
y = –5x + 4
D
y = –5x +
Option D

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