Introduction to Proof — Unit test Answers

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1
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2 lines connect to form a right angle. A third line extends between the 2 lines to form 2 angles which are labeled 1 and 2.

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A
30°
B
45°
C
50°
D
75°
2
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Angle RSU is complementary to angle UST. Angle QSR is congruent to angle RSU.

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A
They are complementary.
B
They are supplementary.
C
They are congruent.
D
They are obtuse.
3

Given: AB = BCProve: B is the midpoint of AC.

Question illustration
A
two-column proof
B
one-paragraph proof
C
flowchart proof
D
two-paragraph proof
4

Which part of the proof does the fourth statement and reason represent?Given: AB ≅ BCBC ≅ EF Prove: EG = AB + FG

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A
It is part of the given information.
B
It is part of the argument.
C
It is the conclusion.
D
It is an assumption.
5

Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?

A
45°
B
60°
C
120°
D
135°
6

Angles 1 and 2 are supplementary.

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A
m1 + m2 = 90°
Option A
B
m1 + m2 = 100°
Option B
C
m1 + m2 = 180°
Option C
D
m1 + m2 = 200°
Option D
7

A horizontal line has points A , E, D. A line extends vertically from point E to point C and forms a right angle at C E D. A line extends up and to the left from point E to point B.

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A
∠CED measures 45°.
B
∠CED measures 180°.
C
∠AEC measures 90°.
D
∠AEC measures 45°.
8

Which best describes the dimensions of a plane?

A
A plane has zero dimensions because it represents a location on the coordinate plane.
B
A plane has one dimension because it is made up of an infinite number of points.
C
A plane has two dimensions because it is a flat surface that has length and width but no depth.
D
A plane has three dimensions because it is made up of exactly three noncollinear points.
9

A line contains points M, N, O, P, Q, R, S with arrows instead of endpoints.

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A
point M
B
point N
C
point O
D
point R
10

In the diagram, TRV ≅ VRW. What is the measure of SRT? mSRT = degrees

Answer not available
11

What is the format of this proof?Given: ∠ABC is a right angle, ∠DBC is a straight angleProve: ∠ABD is a right angle

Question illustration
A
two-column proof
B
two-paragraph proof
C
flowchart proof
D
one-paragraph proof
12

In the diagram, which angles form a linear pair? Select three options.

A
RST and RSV
Option A
B
RST and TSU
Option B
C
RST and VSU
Option C
D
TSU and USV
Option D
E
TSU and RSV
Option E
13

3 lines are shown. A line with points P, R, N intersects a line with points M, R, O at point R. A line extends from point R to point L between angle P R M.

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A
PRL and LRM
Option A
B
ORP and MRN
Option B
C
MRN and NRO
Option C
D
LRP and ORP
Option D
14

3 lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. A line extends from point H to point P between angle K H J. Angle M H L is 140 degrees and angle K H P is 20 degrees.

Question illustration
A
100°
B
120°
C
140°
D
160°
15

Which statements are true based on the diagram? Select three options.

A
Plane S contains points B and E.
B
The line containing points A and B lies entirely in plane T.
C
Line v intersects lines x and y at the same point.
D
Line z intersects plane S at point C.
E
Planes R and T intersect at line y.

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