AnswersAZ-Common Core Geometry AIntroduction to Transformations

Introduction to Transformations — Unit test Answers

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21
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A point has the coordinates (m, 0) and m ≠ 0.Which reflection of the point will produce an image located at (0, –m)?

A
a reflection of the point across the x-axis
B
a reflection of the point across the y-axis
C
a reflection of the point across the line y = x
D
a reflection of the point across the line y = –x
22
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Triangle EFG has vertices E(–3, 4), F(–5, –1), and G(1, 1). The triangle is translated so that the coordinates of the image are E’(–1, 0), F’(–3, –5), and G’(3, –3).

A
T4, –4(x, y)
B
T–4, –4(x, y)
C
T2, –4(x, y)
D
T–2, –4(x, y)
23

A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the translation?

A
T1, –9(x, y)
B
T–1, –9(x, y)
C
T–9, 1(x, y)
D
T–9, –1(x, y)
24

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)
25

Which points are vertices of the pre-image, rectangle ABCD? Select four options.

A
(–1, –2)
B
(7, 1)
C
(–1, 7)
D
(–1, 1)
E
(7, –2)
26

On a coordinate plane, 5 trapezoids are shown. Trapezoid L M N P is in quadrant 2 and has points (negative 2, 3), (negative 2, 6), (negative 1, 6), and (negative 1, 4). Trapezoid B is reflected in quadrant 2. Trapezoid C is reflected across the y-axis. Trapezoid D is reflected into quadrant 4. Trapezoid A is reflected across the x-axis.

Question illustration
A
figure A
B
figure B
C
figure C
D
figure D
27

On a coordinate plane, a triangle has points R (negative 3, 4), T (negative 1, negative 4), and S (negative 4, negative 2).

Question illustration
A
(–4, 3)
B
(4, –3)
C
(–3, –4)
D
(3, 4)
28

Triangle ABC was transformed to create triangle DEF.

Question illustration
A
corresponds to because they are about the same length.
Option A
B
corresponds to because they are in the same position.
Option B
C
corresponds to because the transformation is isometric.
Option C
D
corresponds to because the length is not preserved.
Option D
29

Square PQRS is transformed as shown on the graph.

Question illustration
A
R0, 90°
B
R0, 180°
C
R0, 270°
D
R0, 360°
30

Triangle QRS is transformed as shown on the graph.

Question illustration
A
R0, 90°
B
R0, 180°
C
R0, 270°
D
R0, 360°

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