AnswersGeometryAngles and Lines

Angles and Lines — Test Answers

25 verified answers
1
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If m angle 1 is equal to 110 degrees , what is m angle 4 ?

A
70 degrees
B
20 degrees
C
110 degrees
D
130 degrees
2
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The measure of one angle is 130 degrees Which statement is true regarding the 130 degrees angle and angle 3 ?

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

Which diagram shows lines that must be parallel lines cut by a transversal?

A
Image with description Two left-to-right lines are crossed by a slanted transversal. At the upper intersection, the angle below the upper line and to the left of the transversal is labeled 115 degrees, and the angle below the upper line and to the right of the transversal is labeled 65 degrees. No angle measure is shown at the lower intersection.
B
Image with description Two left-to-right lines are crossed by a slanted transversal. At the upper intersection, the angle below the upper line and to the left of the transversal is labeled 115 degrees. At the lower intersection, the angle above the lower line and to the left of the transversal is labeled 65 degrees.
C
Image with description Two left-to-right lines are crossed by a slanted transversal. At the upper intersection, the angle above the upper line and to the left of the transversal is labeled 65 degrees, and the angle below the upper line and to the right of the transversal is labeled 65 degrees. No angle measure is shown at the lower intersection.
D
Image with description Two left-to-right lines are crossed by a slanted transversal. At the upper intersection, the angle above the upper line and to the right of the transversal is labeled 115 degrees. At the lower intersection, the angle above the lower line and to the left of the transversal is labeled 115 degrees.
4

Based on this information, which pair of lines, together, could be perpendicular to line segment RS ? Choose two correct answers.

A
over left right arrow EA
B
over left right arrow FG
C
over left right arrow ER
D
over left right arrow EF
E
over left right arrow FS
5

Which lines are parallel? Justify your answer.

A
Lines A and b are parallel because their corresponding angles are congruent.
B
Lines e and f are parallel because their corresponding angles are congruent.
C
Lines e and f are parallel because their same side exterior angles are supplementary.
D
Lines A and b are parallel because their same side exterior angles are congruent.
6

Which statement best explains the relationship between lines FG and HJ ?

A
They are not perpendicular because their slopes are not negative reciprocals.
B
They are not perpendicular because their slopes are equal.
C
They are perpendicular because their slopes are negative reciprocals.
D
They are perpendicular because their slopes are equal.
7

What is the value of d ?

A
d is equal to 155
B
d is equal to 55
C
d is equal to 75
D
d is equal to 125
8

What is the value of x ?

A
x is equal to 21
B
x is equal to 28
C
x is equal to 37
D
x is equal to 35
9

Based on the given information, what is AE ?

A
17 units
B
7 units
C
2 units
D
12 units
10

What is the value of y ?

A
y is equal to 40
B
y is equal to 100
C
y is equal to 80
D
y is equal to 120
11

Which point is on the line that passes through point cap z and is perpendicular to line AB ?

A
open paren 2 comma 0 close paren
B
open paren 1 comma negative 2 close paren
C
open paren 4 comma 4 close paren
D
open paren negative 4 comma 1 close paren
12

What is the measure of angle 2 ?

A
m angle 2 is equal to 31 degrees
B
m angle 2 is equal to 50 degrees
C
m angle 2 is equal to 120 degrees
D
m angle 2 is equal to 130 degrees
13

Given that r is parallel to s and q is a transversal, we know that angle 3 is congruent to angle 6 by the [________].

A
corresponding angles theorem
B
vertical angles theorem
C
alternate exterior angles theorem
D
alternate interior angles theorem
14

Which statements are true about these lines? Choose three correct answers.

A
Lines RS and TV are parallel.
B
The slope of line RS is negative 3 halves .
C
Line RS is perpendicular to both line MN and line PQ .
D
The slope of line PQ is undefined.
E
The slope of line MN is 2 thirds .
15

If A is parallel to b and e is parallel to f , what is the value of y ?

A
92
B
91
C
87
D
88
16

Lines AC and RS can best be described as

A
skew.
B
parallel.
C
intersecting.
D
perpendicular.
17

Which point on the x -axis lies on the line that passes through point cap c and is parallel to line AB ?

A
open paren 2 comma 0 close paren
B
open paren 1 comma 0 close paren
C
open paren 0 comma 2 close paren
D
open paren 1 comma 1 close paren
18

What is the length of segment TV ?

A
19 units
B
50 units
C
14 units
D
38 units
19

Statements Reasons 1. line segment NM is parallel to line segment PO 1. given 2. angle 2 is congruent to angle 3 2. alternate interior angles theorem 3. angle 1 is congruent to angle 3 3. given 4. angle 1 is congruent to angle 2 4. ? 5. line segment LM is parallel to line segment NO 5. converse of alternate interior angles theorem What is the missing reason in the proof?

A
converse alternate interior angles theorem
B
transitive property
C
given
D
alternate interior angles theorem
20

What is the length of segment TQ ?

A
4 units
B
11 units
C
15 units
D
14 units

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