Unit Test Answers

1

Free Preview

On a coordinate plane, a line goes through (1, negative 1) and (4, 2). A point is at (2, 5).

A

y + 5 = x + 2

B

y − 2 = x − 5

C

y − 5 = −(x − 2)

D

y + 2 = −(x + 5)

1

Free Preview

On a coordinate plane, a line goes through (1, negative 1) and (4, 2). A point is at (2, 5).

A

y + 5 = x + 2

B

y − 2 = x − 5

C

y − 5 = −(x − 2)

D

y + 2 = −(x + 5)

2

In the diagram, DC is 10 units and BC is 6 units.

A

6 units

B

8 units

C

12 units

D

16 units

2

On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).

A

x + 2y = 4

B

x + 2y = 8

C

2x + y = 4

D

2x + y = 8

2

Lines e and f are intersected by line a. At the intersection of lines a and e, the bottom right angle is 72 degrees. At the intersection of lines a and f, the uppercase right angle is 108 degrees.

A

alternate interior angles theorem

B

same side interior angles theorem

C

converse of the alternate interior angles theorem

D

converse of the same side interior angles theorem

3

On a coordinate plane, a line goes through (negative 3, 3) and (negative 2, 1). A point is at (4, 1).

y

y − 1 = −2(x − 4)

y

y – 1 = (x – 4)

y

y – 1 = (x – 4)

y

y − 1 = 2(x − 4)

3

Two parallel lines are crossed by a transversal.

A

m = 68

B

m = 78

C

m = 102

D

m = 112

4

In the diagram, the length of segment TR can be represented by 5x – 4.

3

3 units

1

11 units

1

13 units

1

15 units

4

Given: g ∥ h and ∠2 ≅ ∠3Prove: e ∥ f Statements Reasons1.g || h1.given2.∠1 ≅ ∠22.corresponding angles theorm3.∠2 ≅ ∠33.given4.∠1 ≅ ∠34.transitive property5.e || f5.?What is the missing reason in the proof?

A

vertical angles theorem

B

alternate exterior angles theorem

C

converse corresponding angles theorem

D

converse alternate interior angles theorem

5

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

A

2 horizontal lines are intersected by another line. At the intersection with the first line, the uppercase right angle is 91 degrees. At the intersection with the second line, the bottom right angle is 91 degrees.

B

2 horizontal lines are intersected by another line. At the intersection with the first line, uppercase right angle is 91 degrees and the bottom left angle is 91 degrees.

C

2 horizontal lines are intersected by another line. At the intersection with the first line, the uppercase right angle is 89 degrees and the bottom right angle is 91 degrees.

D

2 horizontal lines are intersected by another line. At the intersection with the first line, the bottom right angle is 91 degrees. At the intersection with the second line, the top right angle is 89 degrees.

5

On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).

A

x + 2y = 4

B

x + 2y = 8

C

2x + y = 4

D

2x + y = 8

6

On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4).

A

y = –x + 5

B

y = –x + 3

C

y = 3x + 2

D

y = 3x − 5

6

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

A

2 horizontal lines are intersected by another line. At the intersection with the first line, the uppercase right angle is 91 degrees. At the intersection with the second line, the bottom right angle is 91 degrees.

B

2 horizontal lines are intersected by another line. At the intersection with the first line, uppercase right angle is 91 degrees and the bottom left angle is 91 degrees.

C

2 horizontal lines are intersected by another line. At the intersection with the first line, the uppercase right angle is 89 degrees and the bottom right angle is 91 degrees.

D

2 horizontal lines are intersected by another line. At the intersection with the first line, the bottom right angle is 91 degrees. At the intersection with the second line, the top right angle is 89 degrees.

7

Two parallel lines, e and f, are crossed by two transversals.

A

m15 = 77°

B

m15 = 83°

C

m15 = 93°

D

m15 = 97°

7

Two parallel lines are crossed by a transversal.

A

g = 75

B

g = 80

C

g = 100

D

g = 105

8

Lines c and d are intersected by line p. At the intersection of lines c and p, the bottom left angle is (3 x + 45) degrees. At the intersection of lines d and p, the uppercase left angle is 81 degrees.

A

12

B

18

C

81

D

99

8

On a coordinate plane, line P Q goes through (negative 6, 4) and (4, negative 4). Point R is at (4, 2).

A

(–6, 10)

B

(–4, –8)

C

(0, –1)

D

(2, 4)

9

Lines e and f are intersected by line a. At the intersection of lines a and e, the bottom right angle is 72 degrees. At the intersection of lines a and f, the uppercase right angle is 108 degrees.

A

alternate interior angles theorem

B

same side interior angles theorem

C

converse of the alternate interior angles theorem

D

converse of the same side interior angles theorem

9

Lines c and d are intersected by line p. At the intersection of lines c and p, the bottom left angle is (3 x + 45) degrees. At the intersection of lines d and p, the uppercase left angle is 81 degrees.

A

12

B

18

C

81

D

99

10

Which points lie on the line that passes through point P and is parallel to the given line? Select three options.

A

(–4, 2)

B

(–1, 3)

C

(–2, 2)

D

(4, 2)

E

(–5, –1)

10

Given: and g is a transversalProve:

A

corresponding angles theorem

B

alternate interior angles theorem

C

vertical angles theorem

D

alternate exterior angles theorem

11

On a coordinate plane, line P Q goes through (negative 6, 4) and (4, negative 4). Point R is at (4, 2).

A

(–6, 10)

B

(–4, –8)

C

(0, –1)

D

(2, 4)

11

In the diagram, the length of segment TR can be represented by 5x – 4.

A

3 units

B

11 units

C

13 units

D

15 units

12

Consider the diagram.

A

They lie in different planes and will never intersect.

B

They lie in the same plane but will never intersect.

C

They lie in different planes but will intersect if a plane is drawn to contain both lines.

D

They lie in different planes and will be parallel if a plane is drawn to contain both lines.

12

Two parallel lines are crossed by a transversal.

A

m = 68

B

m = 78

C

m = 102

D

m = 112

12

Two parallel lines, e and f, are crossed by two transversals.

A

m15 = 77°

B

m15 = 83°

C

m15 = 93°

D

m15 = 97°

13

Consider the two planes.

A

line a.

B

line b.

C

line d.

D

plane Q.

13

Two parallel lines are crossed by a transversal.

A

g = 75

B

g = 80

C

g = 100

D

g = 105

13

On a coordinate plane, 2 lines are shown. Line A B has points (negative 4, negative 2) and (4, 4). Line C D has points (0, negative 3) and (4, 0).

A

They are parallel because their slopes are equal.

B

They are parallel because their slopes are negative reciprocals.

C

They are not parallel because their slopes are not equal.

D

They are not parallel because their slopes are negative reciprocals.

14

On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negative 2) and (0, negative 4).

A

They are parallel because their slopes are equal.

B

They are parallel because their slopes are negative reciprocals.

C

They are not parallel because their slopes are not equal.

D

They are not parallel because their slopes are negative reciprocals.

14

Given: and g is a transversalProve:

A

corresponding angles theorem

B

alternate interior angles theorem

C

vertical angles theorem

D

alternate exterior angles theorem

14

On a coordinate plane, a line goes through (negative 3, 3) and (negative 2, 1). A point is at (4, 1).

A

y − 1 = −2(x − 4)

B

y – 1 = (x – 4)

C

y – 1 = (x – 4)

D

y − 1 = 2(x − 4)

15

On a coordinate plane, 2 lines are shown. Line A B has points (negative 4, negative 2) and (4, 4). Line C D has points (0, negative 3) and (4, 0).

A

They are parallel because their slopes are equal.

B

They are parallel because their slopes are negative reciprocals.

C

They are not parallel because their slopes are not equal.

D

They are not parallel because their slopes are negative reciprocals.

15

In the diagram, DC is 10 units and BC is 6 units.

A

6 units

B

8 units

C

12 units

D

16 units

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