Rotations Answers

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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

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
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
7

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

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