Answers 25-26 MATH 1 - S1Slopes of Parallel and Perpendicular Lines

Unit Test Answers

21 verified answers2 views

Free Preview

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

3 units

11 units

13 units

15 units

Free Preview

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).

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.

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)

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

Given: and g is a transversalProve:

corresponding angles theorem

alternate interior angles theorem

vertical angles theorem

alternate exterior angles theorem

The table represents a linear function.

–

–8

–

–4

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 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.

Consider the two planes.

line a.

line b.

line d.

plane Q.

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.

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.

The table represents a linear function.

–

–10

–

–5

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)

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

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

6 units

8 units

12 units

16 units

Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes since the bus left the school.

Tracie’s bus travels towards her home at an average speed of mile per minute.

Tracie’s bus travels towards her home at an average speed of 2 miles per minute.

Tracie’s bus travels away from her home at an average speed of mile per minute.

Tracie’s bus travels away from her home at an average speed of 2 miles per minute.

To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?