Answers25-26 IHS Geometry A-CRProving Lines Parallel

Proving Lines Parallel — Unit test Answers

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21
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Consider the diagram.

Question illustration
A
non-coplanar.
B
parallel.
C
perpendicular.
D
skew.
22
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Triangle Q R S is shown. Line R Q extends through point P. Angle Q S R is 35 degrees. Angle S R Q is 58 degrees. Exterior angle S Q P is x degrees.

Question illustration
A
x = 23
B
x = 35
C
x = 58
D
x = 93
23

Two parallel lines are crossed by a transversal.

Question illustration
A
h = 60
B
h = 80
C
h = 100
D
h = 120
24

Determine the missing information in the paragraph proof.Given: Lines a and c intersect at point S, creating 4 angles.Prove: Corresponding angles are congruent.

Question illustration
A
parallel
B
perpendicular
C
congruent
D
reflected
25

Triangle ABC is shown below.

Question illustration
A
7
B
9
C
14
D
18
26

Triangle KNM is shown.

Question illustration
A
KN = NM
B
KN + NM = KM
C
KM = 2(NM)
D
KN = KM
Option D
27

A pipe cleaner lay across a wire shelf. The wires that make up the shelf are parallel, and the pipe cleaner is a transversal. The parallel wires are labeled a, b, and, c, and the angles are labeled with numbers.

Question illustration
A
They are same-side interior angles, so angle 3 measures 50°.
B
They are alternate interior angles, so angle 3 also measures 130°.
C
They are corresponding angles, so angle 3 also measures 130°.
D
They are alternate exterior angles, so angle 3 measures 50°.
28

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
29

Angle RST is a right angle. Angle RSU has a measure of 25°.

Question illustration
A
25°
B
45°
C
65°
D
75°
30

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.
31

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
32

3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to point Z between angle V R W. Angle V R T is (5 x) degrees and angle T, R, S is (25 x + 30) degrees.

Question illustration
A
5°
B
7.5°
C
25°
D
37.5°
33

Planes T and X are parallel. Plane T contains line a. Plane X contains line b.

Question illustration
A
They are skew and will never intersect.
B
They are parallel and will never intersect.
C
They are perpendicular and will intersect.
D
They will intersect at two points.
34

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

Question illustration
A
m∠MKL + m∠MLK = m∠JKM
B
m∠KML + m∠MLK = m∠JKM
C
m∠MKL + m∠MLK = 180°
D
m∠JKM + m∠MLK = 180°
35

Triangle SQT is isosceles. The measure of angle STQ is 48°.

Question illustration
A
24°
B
38°
C
48°
D
76°
36

Triangle A B C is shown with its exterior angles. Line B A extends through point D. Line A B extends through point E. Line A C extends through point F.

Question illustration
A
∠CBA
B
∠CBE
C
∠DAC
D
∠BCF

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