AnswersSRC 2022 MJ Grade 8 Pre-Algebra Q1Congruence and Transformations

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Which pairs of angles are congruent because they are vertical angles? Check all that apply.

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
E
and
Option E
F
and
Option F
2
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Which type of transformation must have occurred in order to map triangle RST to its image, triangle R’S’T’?

Question illustration
A
a reflection over the y-axis
B
a translation to the right
C
a translation to the left
D
a clockwise rotation
3

Parallel lines s and t are cut by a transversal, r, as shown. What is the measure of angle 1?

Question illustration
A
20°
B
42°
C
138°
D
160°
4

Figure A below is translated 4 units left and 1 unit down and then reflected over the y-axis. Which best explains whether figure B is the image of figure A under the specified transformations?

Question illustration
A
Figure B is not the image of figure A because the triangles are not congruent.
B
Figure B is not the image of figure A because the transformations were performed in an incorrect order.
C
There is not enough information to determine whether figure B is the image of figure A after the transformations.
D
Figure B is the image of figure A. The transformations were performed correctly.
5

Mira uses the mapping rule to find the coordinate of a point that had been rotated 90° clockwise about the origin. Examine Mira’s solution to determine which step has an error.M(–5, –6) is rotated 90° clockwise. Step 1. Use the rule (x, y)g(y, –x).Step 2. Switch x and y coordinates: (–6, –5)Step 3. Multiply the new x-coordinate by –1: ((–1)–6, –5)Step 4. Simplify: (6, –5)Mira made an error in Step .

Answer not available
6

The measure of angle 1 is and the measure of angle 3 is .What is the measure of angle 2 in degrees?

Question illustration
A
9
B
98
C
82
D
16
7

Which red triangle shows a 90° counterclockwise rotation of the blue triangle? Check all that apply.

A
On a coordinate plane, a blue triangle has points (negative 1, 4), (negative 5, 4), (negative 1, 1). A red triangle has points (negative 4, negative 1), (negative 1, negative 1), (negative 4, negative 5).
Option A
B
On a coordinate plane, a blue triangle has points (1, 1), (4, 5), (4, 1). A red triangle has points (negative 1, 1), (negative 1, 4), (negative 5, 4).
Option B
C
On a coordinate plane, a blue triangle has points (0, 1), (4, 4), (4, 1). A red triangle has points (negative 4, 1), (negative 4, 4), (0, 1).
Option C
D
On a coordinate plane, a blue triangle has points (negative 5, 4), (negative 1, 4), (negative 1), 1). A red triangle has points (1, 1), (4, 1), (4, 5).
Option D
E
On a coordinate plane, a blue triangle has points (negative 2, 5), (4, 5), (4, 1). A red triangle has points (negative 1, 4), (negative 5, 4), (negative 5, negative 2).
Option E
8

In the diagram, how many angles are supplementary but not adjacent angles with angle 7?

Question illustration
A
zero
B
one
C
two
D
three

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