Unit Test — Unit test Answers

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On a coordinate plane, point B(–6, 1) is translated to (–3, –2). Indira uses these steps to find a rule to describe the translation.Step 1Substitute the original coordinates and the translated coordinates into :Step 2Write two equations:Step 3Solve each equation:Step 4Write the translation rule:Which corrects Indira’s first error?

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A
Indira should have substituted in Step 1.
Option A
B
Indira should have written the equations and in Step 2.
Option B
C
Indira should have solved the equations to find that and in Step 3.
Option C
D
Indira should have written the translation rule in Step 4.
Option D
23
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If the measure of angle 2 is and the measure of angle 4 is , what is the value of x?

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A
46
B
88
C
92
D
184
24

Parallel lines r and s are cut by two transversals, parallel lines t and u. Which angles are alternate exterior angles with angle 11?

Question illustration
A
5 and 13
Option A
B
7 and 15
Option B
C
6 and 16
Option C
D
8 and 14
Option D
25

A teacher asks students to determine the accuracy of this statement.A reflection over the x-axis and then over the y-axis results in the same transformation as a 180 rotation about the origin of the original figure.Kwame’s explanation of the accuracy of the statement is shown below.Step 1: Choose the vertices of a pre-image: (1, 2), (1, 4), (2, 3). Step 2: Reflect the pre-image over the x-axis: (1, –2), (1, –4), (2, –3).Step 3: Reflect the figure from step 2 over the y-axis: (–1, 2), (–1, 4), (–2, 3).Step 4: Rotate the pre-image 180: (–1, –2), (–1, –4), (–2, –3).Step 5: Compare the reflected figure to the rotated figure. The vertices are not located in the same place, therefore the statement made by the teacher is inaccurate.Which best explains Kwame’s solution?

Question illustration
A
Kwame’s explanation and solution are incorrect. He reflected the image over the y-axis in step 2 and the x-axis in step 3, instead of the reverse.
B
Kwame’s explanation and solution are incorrect. He reflected the pre-image at step 3, rather than the figure from step 2.
C
Kwame’s explanation and solution are incorrect. When reflecting over the x- and y-axes, he negated the incorrect coordinate in the ordered pair.
D
Kwame’s explanation and solution are incorrect. The coordinates of the rotated figure should be switched and negated, not just negated.
26

Which graph shows the image of the triangle reflected across the line of reflection shown?

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

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