AnswersHCISD-Mathematical Models with Applications B-CR SUMMERModeling with Periodic Functions

Properties of Transformations Answers

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A square with side lengths of 4 units is translated on the coordinate plane. One vertex of the image is at (2, 1).

A
(0, –1)
B
(2, 6)
C
(4, 0)
D
(6, 1)
2
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An isometric transformation was applied to triangle ABC.

Question illustration
A
45º
B
63º
C
72º
D
98º
3

An isometric transformation is applied to a trapezoid to create a parallelogram.

Question illustration
A
6 cm
B
7 cm
C
10 cm
D
13 cm
4

Question text not available

Question illustration
A
translation
B
reflection
C
dilation
D
rotation
5

The rectangle was rotated 360° around its center, point C. Vertex D traces the path of a circle and lands back upon itself.

Question illustration
A
The angle at point D remained a right angle.
B
The rectangle did not change shape or size.
C
Point C remained the center of the rectangle.
D
Point C did not remain the center of the rectangle.
6

Question text not available

Question illustration
A
60°
B
120°
C
240°
D
180°
7

Which are characteristics of translations? Select three options.Corresponding angle measures are equal.Corresponding side lengths are equal.Corresponding angle measures are greater in the image.Translations usually involve a change in location.Translations are defined by a change in the orientation of vertices of a figure.

A
Corresponding angle measures are equal.
B
Corresponding side lengths are equal.
C
Corresponding angle measures are greater in the image.
D
Translations usually involve a change in location.
E
Translations are defined by a change in the orientation of vertices of a figure.
8

An equilateral triangle is transformed twice to create a trapezoid:

Question illustration
A
30°
B
60°
C
90°
D
120°
9

An isosceles triangle is transformed such that the vertex P' corresponds to the vertex P.

Question illustration
A
The triangle was reflected over the y-axis.
B
The triangle was translated to the right 8 units.
C
The triangle was dilated.
D
The triangle was rotated 180 counterclockwise.
10

Which is an example of an isometric transformation?

A
flipping a grilled cheese sandwich
B
cutting a rectangular card into triangles
C
folding a towel in thirds
D
melting an ice cube into a puddle of water
11

A translation was applied to square ABCD to form A'B'C'D.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

Question text not available

Question illustration
A
translation
B
reflection
C
dilation
D
rotation
13

Rectangle ABCD has been rotated 180 degrees about the origin to form rectangle A'B'C'D'.

Question illustration
A
(−3, 2)
B
(−3, 5)
C
(−1, 2)
D
(−1, 5)
14

Question text not available

Question illustration
A
translation
B
reflection
C
dilation
D
rotation
15

Question text not available

Question illustration
A
All points of the rectangle were translated 4 units up.
B
All segments of the rectangle were rotated 180 clockwise around the origin.
Option B
C
The rectangle was reflected over the x-axis.
D
The rectangle was dilated 4 units up.
16

A rotation was applied to parallelogram GRAM.

Question illustration
A
1.5 cm
B
1.6 cm
C
3.0 cm
D
3.2 cm

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