AnswersSRC 2022 MJ Grade 8 Pre-Algebra Q1Rotations

Rotations in the Coordinate Plane Answers

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Triangle GFH has vertices G(2, –3), F(4, –1), and H(1, 1). The triangle is rotated 270° clockwise using the origin as the center of rotation. Which graph shows the rotated image?

A
On a coordinate plane, triangle G prime H prime F prime has points (negative 3, negative 2), (1, negative 1), (negative 1, negative 4).
Option A
B
On a coordinate plane, triangle G prime H prime F prime has points (3, 2), (negative 1, 1), (1, 4).
Option B
C
On a coordinate plane, triangle G prime H prime F prime has points (2, negative 3), (1, 1), (4, negative 1).
Option C
D
On a coordinate plane, triangle G prime H prime F prime has points (2, 3), (4, 1), (1, negative 1).
Option D
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Triangle JKL is rotated 45° counterclockwise using the origin as the center of rotation. Which graph shows the location of triangle J’K’L’?

Question illustration
A
On a coordinate plane, triangle J prime K prime L prime has points (negative 1.5, negative 1.5), (3, negative 3), (1.2, negative 5.7).
Option A
B
On a coordinate plane, triangle J prime K prime L prime has points (Negative 1.5, 1.8), (negative 3, negative 3), (negative 6, negative 1.2).
Option B
C
On a coordinate plane, triangle J prime K prime L prime has points (negative 4, negative 1), (0, negative 2.2), (negative 1.2, negative 5).
Option C
D
On a coordinate plane, triangle J prime K prime L prime has points (0, negative 2), (4, 0), (5, negative 3).
Option D
3

Square PQRS is rotated 90° clockwise using the origin as the center of rotation. Which graph shows the image P’Q’R’S’?

Question illustration
A
On a coordinate plane, square P prime Q prime R prime S prime has points (2, 2), (negative 1, 2), (negative 1, negative 1), (2, negative 1).
Option A
B
On a coordinate plane, square P prime Q prime R prime S prime has points (negative 1, negative 1), (2, negative 1), (2, 2), (negative 1, 2).
Option B
C
On a coordinate plane, square P prime Q prime R prime S prime has points (negative 2, negative 2), (1, negative 2), (1, 1), (negative 2, 1).
Option C
D
On a coordinate plane, square P prime Q prime R prime S prime has points (1, 1), (negative 2, 1), (negative 2, negative 2), (1, negative 2).
Option D
4

Triangle RST is rotated using the origin as the center of rotation. The preimage and image are shown in the graph below.The figure is rotated counterclockwise. Which rotation could have taken place?

Question illustration
A
a 45° rotation
B
a 90° rotation
C
a 135° rotation
D
a 225° rotation
5

Triangle RST has vertices R(–4, 4), S(–1, 2), and T(–3, 0). Triangle RST is rotated 360° clockwise using the origin as the center of rotation. Which graph shows the image of triangle RST after the rotation?

A
On a coordinate plane, triangle R prime S prime T prime has points (4, negative 4), (1, negative 2), (3, 0).
Option A
B
On a coordinate plane, triangle R prime S prime T prime has points (negative 4, 4), (negative 1, 2), (negative 3, 0).
Option B
C
On a coordinate plane, triangle R prime S prime T prime has points (0, 3), (2, 1), (4, 4).
Option C
D
On a coordinate plane, triangle R prime S prime T prime has points (negative 4, negative 4), (negative 2, negative 1), (0, negative 3).
Option D
6

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
7

Parallelogram ABCD is rotated 45° counterclockwise using the origin as the center of rotation. Which graph shows the image of ABCD?

Question illustration
A
On a coordinate plane, parallelogram A prime B prime C prime D prime has points (negative 2, 5), (0, 3), (0, negative 1.2), (negative 2, 1).
Option A
B
On a coordinate plane, parallelogram A prime B prime C prime D prime has points (negative 2, 5), (negative 2, 1), (0, negative 1), (0, 3).
Option B
C
On a coordinate plane, parallelogram A prime B prime C prime D prime has points (5, 2), (3, 0), (negative 1.5, 0), (0.5, 2).
Option C
D
On a coordinate plane, parallelogram A prime B prime C prime D prime has points (5, 2), (1, 2), (negative 1.5, 0), (2.8, 0).
Option D
8

Triangle GHJ and its image, triangle G’H’J’, are graphed on the coordinate grid below.Which rotation, using the origin as the center of rotation, occurred?

Question illustration
A
a 90° clockwise rotation
B
a 90° counterclockwise rotation
C
a 45° clockwise rotation
D
a 45° counterclockwise rotation
9

Triangle XYZ is rotated 90° counterclockwise using the origin as the center of rotation. Which other rotation can be used to create triangle X’Y’Z’ from triangle XYZ?

Question illustration
A
90° clockwise
B
270° clockwise
C
270° counterclockwise
D
360° counterclockwise
10

Triangle RST and its image, triangle R’S’T’, are graphed on the coordinate grid below.Which rotation, using the origin as the center of rotation, transformed RST to R’S’T’?

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

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