AnswersFL-1206310-Geometry Sem 1Unit Test

Unit Test — Unit test Answers

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21
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Consider triangle WXY.

Question illustration
A
Angle W is greater than angle Y.
B
Angle Y is the largest angle.
C
Angle X is smaller than angle W.
D
Angle W is the smallest angle.
22
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If triangle RST is an acute triangle, then m∠S must be

A
less than 90°.
B
equal to 90°.
C
equal to 100°.
D
greater than 90° and less than 180°.
23

Which statements regarding the diagram of ΔEBC are true? Select three options.

A
∠BEC is an exterior angle.
B
∠DEC is an exterior angle.
C
∠ABE and ∠EBC are supplementary angles.
D
∠BCF and ∠DEC are supplementary angles.
E
∠BEC is a remote interior angle to exterior ∠BCF.
24

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°.
25

A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.

Question illustration
A
m∠5 + m∠6 = m∠1
B
m∠3 + m∠4 + m∠5 = 180°
C
m∠1 + m∠2 = 180°
D
m∠2 + m∠3 = m∠5
26

In the diagram, MQ = QP = PO = ON.

Question illustration
A
Segment OP is longer than segment MQ.
B
Segment MN has the same length as segment MP.
C
The measure of angle Q equals the measure of angle O.
D
Angle O is larger than angle Q.
27

Nigel and Mia are searching for a treasure chest under water. The straight line distance between them is 100 meters.

Question illustration
A
Nigel is closer because his distance to the chest is opposite the larger angle.
B
Mia is closer because her distance to the chest is opposite the smaller angle.
C
Nigel is closer because his distance from the chest is 100 meters.
D
Mia is closer because her distance from the chest is 100 meters.
28

Point Z is the circumcenter of ΔLMN.

Question illustration
A
Line segment A N is-congruent-to line segment L B
Option A
B
Line segment N C is-congruent-to line segment B Z
Option B
C
BMZ CMZ
Option C
D
ZBM ZCM
Option D
29

A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex.

Question illustration
A
54°
B
72°
C
108°
D
144°
30

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
31

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
32

Triangle L N P has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N R, L P, and Q M. The length of line segment N S is 7 x minus 3 and the length of line segment S R is 5 x minus 3.

Question illustration
A
1 unit
B
2 units
C
4 units
D
6 units
33

Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U.

Question illustration
A
3 inches
B
6 inches
C
12 inches
D
18 inches
34

2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of the triangle is (2 x + 10) degrees. The bottom right angle of the triangle is 79 degrees. The exterior angle to the bottom left angle is (6 x + 1) degrees.

Question illustration
A
x = 2.25
B
x = 11.25
C
x = 13
D
x = 22
35

Triangle K M L is shown. Line L K extends through point J to form exterior angle J K M.

Question illustration
A
∠JKL
B
∠MKL
C
∠KLM
D
∠LMK
36

Triangle KNM is shown.

Question illustration
A
KN = NM
B
KN + NM = KM
C
KM = 2(NM)
D
KN = KM
Option D
37

In the triangles, and .

Question illustration
A
congruent to
B
longer than
C
shorter than
D
the same length as
38

Point Z is the incenter of ΔSRT.

Question illustration
A
24°
B
31°
C
35°
D
62°
39

Triangle A B C is shown. Lines are drawn from each point to the opposite side and intersect at point D. They form line segments A G, B E, and C F.

Question illustration
A
BE, CF, and AG are angle bisectors.
B
BE ⊥ AC, AG ⊥ BC, and CF ⊥ AB.
C
BE bisects AC, CF bisects AB, and AG bisects BC.
D
BE is a perpendicular bisector of AC, CF is a perpendicular bisector of AB, and AG is a perpendicular bisector of BC.
40

Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.

Question illustration
A
AB = 25
B
27 < AB < 81
C
AB = 85
D
AB 81

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