Answers2627 GEOMETRY AParallel and Perpendicular Lines

Parallel and Perpendicular Lines — Test Answers

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1
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Consider the diagram.

Question illustration
A
intersecting.
B
parallel.
C
perpendicular.
D
skew.
2
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Point A lies on the circle and has an x-coordinate of 1.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

Based on this information, which pair of lines, together, could be perpendicular to RS? Select two options.

A
Line E A
Option A
B
Line E R
Option B
C
Line E F
Option C
D
Line F G
Option D
E
Line F S
Option E
4

Silvio wants to find the perimeter of quadrilateral ABCD. He begins by computing the length of side AB using the distance formula. Finish Silvio’s work to find the length of side AB.What is the perimeter of quadrilateral ABCD?

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

On a coordinate plane, line A B goes through (negative 2, 4) and (0, negative 4). Point Z is at (0, 2).

Question illustration
A
(–4, 1)
B
(1, –2 )
C
(2, 0)
D
(4, 4)
6

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

Question illustration
A
They are perpendicular because their slopes are equal.
B
They are perpendicular because their slopes are negative reciprocals.
C
They are not perpendicular because their slopes are equal.
D
They are not perpendicular because their slopes are negative reciprocals.
7

On a coordinate plane, 2 lines are shown. Line H J has points (negative 4, negative 2) and (0, 4). Line F G has points (negative 4, 1) and (0, negative 2).

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

On a coordinate plane, line D F goes through points (negative 1, negative 3) and (2, 3). Point G is at (negative 4, negative 4).

Question illustration
A
(–2, 0)
B
(0, –2)
C
(0, 4)
D
(4, 0)
9

Question text not available

Question illustration
A
18 + units
Option A
B
18 + units
Option B
C
18 + units
Option C
D
18 + units
Option D
10

Which statements are true about triangle XYZ? Select three options.

A
XY measures units.
Option A
B
YZ measures units.
Option B
C
ZX measures units.
Option C
D
XYZ is a right triangle.
E
XYZ is a scalene triangle.
11

In the diagram, the length of segment QV is 15 units.

Question illustration
A
4 units
B
11 units
C
14 units
D
15 units
12

In the diagram, CE=12 units and BE=5 units.

Question illustration
A
2 units
B
7 units
C
12 units
D
17 units
13

On a coordinate plane, line P Q goes through (negative 3, negative 3) and (3, negative 1). Point R is at (1, 1).

Question illustration
A
(0, )
Option A
B
(0, 4)
C
(, 0)
Option C
D
(4, 0)
14

In the diagram, the length of segment BC is 23 units.

Question illustration
A
13 units
B
18 units
C
33 units
D
46 units
15

For triangle XYW, the slope of WX is , the slope of XY is 0.56, and the slope of YW is .

Question illustration
A
The slopes of WX and YW are opposite reciprocals.
B
The slopes of WX and XY are opposite reciprocals.
C
The slopes of XY and WX have opposite signs.
D
The slopes of XY and YW have the same signs.
16

On a coordinate plane, line A B goes through (negative 2, 4) and (2, negative 8). Point C is at (6, 4).

Question illustration
A
(–6, 0)
B
(0, –6)
C
(0, 2)
D
(2, 0)
17

Consider the diagram.

Question illustration
A
7
B
9
C
18
D
25
18

Which statements are true about these lines? Select three options.

A
The slope of line MN is .
Option A
B
The slope of line PQ is undefined.
C
The slope of line RS is .
Option C
D
Lines RS and TV are parallel.
E
Line RS is perpendicular to both line MN and line PQ.
19

Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T.Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l?

Question illustration
A
Use the compass to construct a circle centered at Q through point P.
B
Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
C
Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q.
D
Use the compass to construct a circle centered at P through point Q.
20

Helena wants to find the perimeter of the graphed quadrilateral ABCD.

Question illustration
A
side AB
B
side BC
C
side CD
D
side DA

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