Answers CA-Common Core Geometry DVHS Sem. 1Proving Lines Parallel

Proving Lines Parallel — Unit test Answers

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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?

vertical angles theorem

alternate exterior angles theorem

converse corresponding angles theorem

converse alternate interior angles theorem

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

y = –x + 5

y = –x + 3

y = 3x + 2

y = 3x − 5

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

y + 5 = x + 2

y − 2 = x − 5

y − 5 = −(x − 2)

y + 2 = −(x + 5)

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).

They are parallel because their slopes are equal.

They are parallel because their slopes are negative reciprocals.

They are not parallel because their slopes are not equal.

They are not parallel because their slopes are negative reciprocals.

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.

alternate interior angles theorem

same side interior angles theorem

converse of the alternate interior angles theorem

converse of the same side interior angles theorem

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

y − 1 = −2(x − 4)

y – 1 = (x – 4)

y − 1 = 2(x − 4)

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

m15 = 77°

m15 = 83°

m15 = 93°

m15 = 97°

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

(–6, 10)

(–4, –8)

(0, –1)

(2, 4)

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

x + 2y = 4

x + 2y = 8

2x + y = 4

2x + y = 8

Consider the diagram.

They lie in different planes and will never intersect.

They lie in the same plane but will never intersect.

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

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

Two parallel lines are crossed by a transversal.

g = 75

g = 80

g = 100

g = 105

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

(–4, 2)

(–1, 3)

(–2, 2)

(4, 2)

(–5, –1)

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.

Consider the two planes.

line a.

line b.

line d.

plane Q.

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

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.

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.

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.

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.

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Proving Lines Parallel — Unit test Answers

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