AnswersIntegrated Math I Semester 2 - LHS 2016Reflections

Reflections — Unit test Answers

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Analyze the diagram below and complete the instructions that follow.Describe the translation from to . A. B. C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
2
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Analyze the diagram below and complete the instructions that follow.In the graph, the coordinates of the vertices of pentagon ABCDE are A(–6, –3), B(–4, –1), C(–2, –3), D(–3, –5), and E(–5, –5). If pentagon ABCDE is reflected across the y-axis, find the coordinates of E'.

Question illustration
A
(–5, 5)
B
(2, –3)
C
(4, –1)
D
(5, –5)
3

Which transformation is a translation? A. B. C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
4

Which transformation is not isometric? A. B. C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
5

Analyze the diagram below and answer the question that follows.The vertices of are A(0, 3), B(2, –4), and C(–4, –6). is rotated 180° counterclockwise about the origin to form . What are the coordinates of the vertices of ?

Question illustration
A
A’(–3, 0), B’(4, –2), C’(6, 4)
B
A’(0, –3), B’(–2, –4), C’(4, –6)
C
A’(0, –3), B’(–2, 4), C’(4, 6)
D
A’(3, 0), B’(4, 2), C’(–6, 4)
6

Analyze the graph below and complete the instructions that follow. In the graph above, the coordinates of the vertices of are Q(3, 0), P(5, 6), and R(7, 0). If is reflected across the x-axis to create , find the coordinates of R'.

Question illustration
A
(–7, 0)
B
(3, 0)
C
(5,–6)
D
(7, 0)
7

Analyze the diagram below and complete the instructions that follow. Determine which type of transformation is illustrated in the figure.

Question illustration
A
composition
B
dilation
C
rotation
D
translation
8

Analyze the graph below and answer the question that follows. In the graph above, the coordinates of the vertices of are T(4, 4), U(2, –2), and V(6, –2). If is reflected across the y-axis to create , what are the coordinates of U'?

Question illustration
A
(–6, –2)
B
(–4, 4)
C
(–2, –2)
D
(–2, 2)
9

A translation is

A
a transformation in which the figure is flipped over a line.
B
a transformation in which every point moves the same distance in the same direction.
C
the figure after a transformation has been performed.
D
the original figure before a transformation has been performed.
10

Point J(8, 5) was translated as follows: J(8, 5) J’(2, 9). A student wrote the algebraic rule to describe the translation as . Evaluate the student’s answer.

Question illustration
A
Incorrect; the student should add 8 + 2 to calculate the x-coordinate and should add 5 + 9 to calculate the y-coordinate.
B
Incorrect; the student added 4 to the y-coordinate instead of subtracting 4 from the y-coordinate.
C
Incorrect; the student added 6 to the x-coordinate instead of subtracting 6 from the x-coordinate.
D
The student’s answer is correct.
11

The endpoints of a segment are (0, –5) and (–3, –7). What are the endpoints of the segment after it has been translated 5 units to the right?

A
(–5, –5), (–8, –7)
B
(0, 0), (–3, –2)
C
(5, –5), (2, –7)
D
(5, 0), (2, –2)
12

The point (2, –4) is reflected across the line y = –1. What are the coordinates of the image?

A
(–5, –4)
B
(–4, 2)
C
(2, 2)
D
(2, 4)
13

The image of a point after a reflection over the line y = –x is (7, –1). Find the coordinates of the preimage.

A
(–7, –1)
B
(–7, 1)
C
(–1, 7)
D
(1, –7)
14

Determine which type of transformation is illustrated in the figure. If none of the listed transformations apply, choose "none of these." b p

A
reflection
B
rotation
C
translation
D
none of these
15

Which transformation is not a rigid transformation?

A
dilation
B
reflection
C
rotation
D
translation
16

Analyze the graph below and answer the question that follows. The figure above is rotated 270° counterclockwise about the origin. What are the coordinates of W'?

Question illustration
A
(–3, –1)
B
(–1, –3)
C
(1, –3)
D
(3, –1)
17

has vertices at (–5, 1) and (–3, 7). After a transformation, the image had endpoints at (3, –1) and (5, 5). Describe the transformation.

Question illustration
A
translation right 2 units and up 6 units
B
rotation 90° about the origin
C
translation right 8 units and down 2 units
D
reflection across the y-axis
18

Analyze the graph below and answer the question that follows. What is the angle of rotation from to ? Assume that the center of rotation is the origin.

Question illustration
A
90° counterclockwise
B
180° counterclockwise
C
270° counterclockwise
D
360° counterclockwise
19

What type of transformation is demonstrated in the following figure? Image by Phoebe Baker

Question illustration
A
dilation
B
reflection
C
rotation
D
translation
20

Analyze the graph below and complete the instructions that follow. Describe the translation in the figure from C to C’. A. B. C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D

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