AnswersGeometryAngles and Lines

Angles and Lines — Test Answers

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1
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Which point is on the line that passes through point cap z and is perpendicular to line AB ?

A
open paren 1 comma negative 2 close paren
B
open paren 2 comma 0 close paren
C
open paren 4 comma 4 close paren
D
open paren negative 4 comma 1 close paren
3
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What is the value of x ? Enter your answer in the box.

Answer:

50

4

What is the perimeter of quadrilateral cap A cap b cap c cap d ?

A
20 units
B
17 units
C
15 units
D
18 units
5

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

A
Image with description Parallel lines are intersected by a transversal line. The first line intersecting the transversal line creates 4 angles, the top left angle is labeled as 65 degrees, and the bottom right angle is labeled as 65 degrees.
B
Image with description Parallel lines are intersected by a transversal line. The first line intersecting the transversal line creates 4 angles, the top right angle is labeled as 115 degrees. The second line intersecting the transversal line creates 4 angles, the top left angle is labeled as 115 degrees.
C
Image with description Parallel lines are intersected by a transversal line. The first line intersecting the transversal line creates 4 angles, the top left angle is labeled as 115 degrees. The second line intersecting the transversal line creates 4 angles, the top left angle is labeled as 65 degrees.
D
Image with description Parallel lines are intersected by a transversal line. The first line intersecting the transversal line creates 4 angles, the bottom left angle is labeled as 115 degrees, and the bottom right angle is labeled as 65 degrees.
6

What is the perimeter of quadrilateral ABCD?

A
18 plus square root of 50 units
B
18 plus square root of 26 units
C
18 plus square root of 2 units
D
18 plus square root of 6 units
7

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

A
They are not perpendicular because their slopes are equal.
B
They are perpendicular because their slopes are equal.
C
They are perpendicular because their slopes are negative reciprocals.
D
They are not perpendicular because their slopes are not negative reciprocals.
8

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 1 comma 0 close paren
B
open paren 0 comma 2 close paren
C
open paren 2 comma 0 close paren
D
open paren 1 comma 1 close paren
9

What is the value of y ?

A
y is equal to 100
B
y is equal to 80
C
y is equal to 40
D
y is equal to 120
10

Based on the given information, what is AE ?

A
7 units
B
17 units
C
12 units
D
2 units
11

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
12

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

A
87
B
88
C
92
D
91
13

What is the length of segment TQ ?

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

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

A
They are not perpendicular because their slopes are negative reciprocals.
B
They are perpendicular because their slopes are negative reciprocals.
C
They are perpendicular because their slopes are equal.
D
They are not perpendicular because their slopes are equal.
15

Which point on the y -axis lies on the line that passes through point cap g and is parallel to line DF ?

A
open paren 0 comma negative 2 close paren
B
open paren negative 2 comma 0 close paren
C
open paren 0 comma 4 close paren
D
open paren 4 comma 0 close paren
16

Which lines are parallel? Justify your answer.

A
Lines e and f are parallel because their same side exterior angles are supplementary.
B
Lines A and b are parallel because their corresponding angles are congruent.
C
Lines A and b are parallel because their same side exterior angles are congruent.
D
Lines e and f are parallel because their corresponding angles are congruent.
17

Which line segment has the same measure as line segment TQ ?

A
line segment SR
B
line segment QS
C
line segment TR
D
line segment ST
18

Lines AC and RS can best be described as

A
skew.
B
perpendicular.
C
intersecting.
D
parallel.
19

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

A
The slope of line PQ is undefined.
B
The slope of line RS is negative 3 halves .
C
The slope of line MN is 2 thirds .
D
Lines RS and TV are parallel.
E
Line RS is perpendicular to both line MN and line PQ .
20

The measure of one angle is 130 degrees Which statement is true regarding the 130 degrees angle and angle 3 ?

A
They are corresponding angles, so angle 3 also measures 130 degrees .
B
They are same-side interior angles, so angle 3 measures 50 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 .
21

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

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