Unit Test — Unit test Answers

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Which figure could be the result of dilating this triangle with a scale factor greater than 1?

Question illustration
A
On a coordinate plane, a triangle has points (0, 0), (0, 3), (9, 0).
Option A
B
On a coordinate plane, a triangle has points (0, 0), (0, 1), (6, 0).
Option B
C
On a coordinate plane, a triangle has points (0, 0), (0, 5), (10, 0).
Option C
D
On a coordinate plane, a triangle has points (0, 0), (0, 2), (4, 0).
Option D
5

Rectangle MNPQ is rotated using the origin as the center of rotation, resulting in rectangle M’N’P’Q’, as shown below.Which rotation may have occurred?

Question illustration
A
a 45° rotation clockwise
B
a 45° rotation counterclockwise
C
a 90° rotation clockwise
D
a 90° rotation counterclockwise
6

Triangle ABC is rotated clockwise to create triangle A’B’C’. What is the angle of rotation?

Question illustration
Answer not available
7

Which graph shows a method for finding the image of point D if the parallelogram is reflected across the dashed line?

Question illustration
A
On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. A red dashed line is drawn from point B to point D. D prime = B.
Option A
B
On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. A red dashed line splits the image into 2 equals parts with length of 1.4 centimeters.
Option B
C
On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. Point D prime is at (2, 6).
Option C
D
On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. A vertical dashed line is drawn through the image.
Option D
8

Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?

A
X’(1, 1), Y’(-4, 3), Z’(1, 5)
B
X’(1, 1), Y’(–3, –4), Z’(–1, –5)
C
X’(–1, 1), Y’(–3, –4), Z’(–5, 1)
D
X’(–1, –1),Y’(4, –3), Z’(–1, –5)
10

Pentagon JKLMN is translated five units up. What is the name of the image after the translation?

A
J prime K prime L prime M prime N prime
Option A
B
JKLMN
C
NMLKJ
D
N prime J prime L prime K prime M prime
Option D
11

Parallelogram DEFG is transformed to parallelogram VSTU.Which statement about the transformation is true?

Question illustration
A
Parallelogram DEFG is the pre-image because it is not the result of the transformation.
B
Parallelogram DEFG is the image because it is the result of the transformation.
C
Parallelogram VSTU is the pre-image because it is the result of the transformation.
D
Parallelogram VSTU is the image because it is not the result of the transformation.
13

The shaded octagon is transformed to the unshaded octagon in the coordinate plane below.Which statement about the transformation is true?

Question illustration
A
The unshaded octagon is a reflection because it is a flip over a diagonal line.
B
The unshaded octagon is a dilation because it is smaller than the shaded octagon.
C
The unshaded octagon is a horizontal translation because it is directly to the left of the shaded octagon.
D
The unshaded octagon is a vertical translation because it is directly under the shaded octagon.
14

Triangle JKL is graphed on the coordinate plane below. The figure is rotated 360° clockwise with the origin as the center of rotation. Which graph represents the rotated figure?

Question illustration
A
On a coordinate plane, triangle J prime K prime L prime has points (negative 2, 1), (negative 2, 4), (negative 5, 3).
Option A
B
On a coordinate plane, triangle J prime K prime L prime has points (negative 1, negative 2), (negative 4, negative 2), (negative 3, negative 5).
Option B
C
On a coordinate plane, triangle J prime K prime L prime has points (2, negative 1), (2, negative 4), (5, negative 3).
Option C
D
On a coordinate plane, triangle J prime K prime L prime has points (1, 2), (4, 2), (3, 5).
Option D
16

Which sequence of transformations produces A’B’C’ from ABC?

Question illustration
A
a translation up 3 and then a 90º counterclockwise rotation about the origin
B
a 90º counterclockwise rotation about the origin and then a translation up 3
C
a reflection over the x-axis and then a translation left 2 and down 1
D
a translation left 5 and down 2 and then a reflection over the x-axis
17

The shape on the left is translated to the shape on the right.Which statement about the transformation is true?

Question illustration
A
The name of the shape on the right is because it is the image of the shape on the left.
Option A
B
The name of the shape on the right is because it is the pre-image of the shape on the left.
Option B
C
The name of the shape on the right is because it is the pre-image of the shape on the left.
Option C
D
The name of the shape on the right is because it is the image of the shape on the left.
Option D
18

What is the name of the transformation in which each point on a figure is turned through a given angle and direction around a given point?

Answer not available
20

Elijah was trying to determine whether one triangle is a dilation of the other. Which statements about his solution are true? Check all that apply.Elijah’s work: 3 is not a factor of 5, so it must be a relationship with addition. Therefore, the triangles are not proportional and cannot form a dilation.

Question illustration
A
Elijah did not know that scale factors can be fractions or decimals greater than zero.
B
Elijah did not know that dilations are proportional and the relationships are multiplicative, not additive.
C
Elijah should have compared the ratios to determine if they are equivalent.
Option C
D
Elijah needs to know which triangle is the pre-image and which triangle is the image in order to determine if they are proportional.
E
Elijah needs labels on the points to determine which sides correspond when writing the ratios.

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