Unit Test — Unit test Answers

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Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T.Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l?

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U
Use the compass to construct a circle centered at Q through point P.
U
Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
U
Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q.
U
Use the compass to construct a circle centered at P through point Q.
3

Janelle says that lines l and m are skew lines.

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Y
Yes, because the lines are not parallel.
Y
Yes, because the lines will intersect.
N
No, because the lines are in the same plane.
N
No, because the lines are perpendicular.
4

In the diagram, the length of segment TQ is 40 units.

Question illustration
3
32 units
3
36 units
4
40 units
4
44 units
8

Planes Q and R are parallel planes. Plane Q contains line a. Plane R contains line b.

Question illustration
l
lines a and b must be parallel.
l
lines a and b cannot be parallel.
l
lines a and b must be skew.
l
lines a and b must be perpendicular.
9

Consider the diagram.

Question illustration
c
coplanar.
p
parallel.
p
perpendicular.
s
skew.
11

Given: mTRV = 60° mTRS = (4x)°Prove: x = 30What is the missing reason in step 3?

Question illustration
A
substitution property of equality
B
angle addition postulate
C
subtraction property of equality
D
addition property of equality
12

A flowchart proof

A
contains a set of sentences explaining the steps needed to reach a conclusion.
B
uses inductive reasoning to prove a statement.
C
uses a visual representation of the logical flow of steps needed to reach a conclusion.
D
contains a table with a logical series of statements and reasons that reach a conclusion.
13

Given that bisects ∠CEA, which statements must be true? Select three options.

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A
m∠CEA = 90°
B
m∠CEF = m∠CEA + m∠BEF
C
m∠CEB = 2(m∠CEA)
D
∠CEF is a straight angle.
E
∠AEF is a right angle.
14

What is the missing reason in the proof?Given: ∠ABC is a right angle, ∠DBC is a straight angleProve: ∠ABC ≅ ∠ABD

Question illustration
A
definition of angle bisector
B
segment addition property
C
definition of congruent angles
D
transitive property
15

Question text not available

Question illustration
A
line XY
B
line XZ
C
line WX
D
line WZ
17

In which diagram do angles 1 and 2 form a linear pair?

A
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
Option A
B
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
Option B
C
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
Option C
D
A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
Option D
19

The diagram shows several planes, lines, and points.

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A
Line h intersects line f at two points, A and B.
B
Line h is the intersection of planes R and T.
C
Line h intersects plane P at point C.
D
Line h has points on planes R, P, and T.

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