Introduction to Transformations — Cumulative exam Answers

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Which rules could describe the rotation? Select two options.

A
R0, 90°
B
R0, 180°
C
R0, 270°
D
(x, y) → (–y, x)
E
(x, y) → (y, –x)
3

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.
5

Triangle A B C is shown. Lines are drawn from each point to to the opposite side and intersect at point G. Line segments A D, B E, and C F are created.

Question illustration
A
Point G cannot be the centroid because 18:6 does not equal 2:1.
B
Point G cannot be the centroid because FG should be longer than CG.
C
Point G can be the centroid because 12:6 equals 2:1.
D
Point G can be the centroid because FC is longer than FG.
7

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

Question illustration
y
y − 1 = −2(x − 4)
y
y – 1 = (x – 4)
Option y
y
y – 1 = (x – 4)
Option y
y
y − 1 = 2(x − 4)
10

Triangle ABC has the angle measures shown.

Question illustration
A
Measure of angle A = 20 degrees
Option A
B
Measure of angle B = 60 degrees
Option B
C
are complementary
Option C
D
Measure of angle A + measure of angle C = 120 degrees
Option D
14

Consider the triangle shown.

Question illustration
A
Line segment P Q, line segment R Q, line segment R P
Option A
B
Line segment R Q, Line segment P Q, line segment P Q
Option B
C
Line segment R Q, line segment R P, line segment P Q
Option C
D
Line segment R P, line segment P Q, line segment R Q
Option D
15

Question text not available

Question illustration
A
60°
B
90°
C
180°
D
360°
19

Given: and g is a transversalProve:

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

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