AnswersGeometry VIA Fall 26 clyonssdale.orgEquations of Parallel and Perpendicular Lines

Equations of Parallel and Perpendicular Lines — Unit test Answers

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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.

Question illustration
A
12
B
18
C
81
D
99
2
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On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).

Question illustration
A
x + 2y = 4
B
x + 2y = 8
C
2x + y = 4
D
2x + y = 8
3

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?

Question illustration
A
vertical angles theorem
B
alternate exterior angles theorem
C
converse corresponding angles theorem
D
converse alternate interior angles theorem
4

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

Question illustration
A
y = –x + 5
Option A
B
y = –x + 3
Option B
C
y = 3x + 2
D
y = 3x − 5
5

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

Question illustration
A
m15 = 77°
Option A
B
m15 = 83°
Option B
C
m15 = 93°
Option C
D
m15 = 97°
Option D
6

Question text not available

Question illustration
A
−2
B
Option
Option B
C
Option
Option C
D
2
7

What is the slope of a line that is perpendicular to the line x = –3?

A
–3
B
0
C
Option
Option C
D
undefined
8

Point A has an x coordinate of −2 and lies in a circle with a center at (0, 0) and a radius of 5.

Question illustration
A
4.5
B
4.6
C
4.7
D
4.8
9

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

Question illustration
A
6 units
B
8 units
C
12 units
D
16 units
10

Quadrilateral ABCD is shown on the grid.

Question illustration
A
Side CD has a length of units.
Option A
B
Side BC has a length of units.
Option B
C
Side DA has a length of 5 units.
D
Side AB has a length of 6 units.
11

Two parallel lines are crossed by a transversal.

Question illustration
A
m = 68
B
m = 78
C
m = 102
D
m = 112
12

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)
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).

Question illustration
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

What is the equation of the line in slope-intercept form that is perpendicular to the line y = x – 2 and passes through the point (–12, 10)?

Question illustration
A
y = x – 6
Option A
B
y = x + 6
Option B
C
y = x + 26
Option C
D
y = x + 10
Option D
15

Consider the diagram.

Question illustration
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.

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