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Rotations Answers

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A triangle is rotated 90° about the origin. Which rule describes the transformation?

A
(x, y) → (–x, –y)
B
(x, y) → (–y, x)
C
(x, y) → (–y, –x)
D
(x, y) → (y, –x)
2
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Which rules could describe the rotation? Select two options.

A
R0, 90°
B
R0, 180°
C
R0, 270°
D
(x, y) → (–y, x)
E
(x, y) → (–x, –y)
3

Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.R (1, 1)S (3, 1)T (1, 6) R' (–1, –1)S' (–3, –1)T' (–1, –6)

A
The transformation was a 90° rotation about the origin.
B
The transformation was a 180° rotation about the origin.
C
The transformation was a 270° rotation about the origin.
D
The transformation was a 360° rotation about the origin.
4

Parallelogram ABCD is rotated to create image A'B'C'D'.

Question illustration
A
(x, y) → (y, –x)
B
(x, y) → (–y, x)
C
(x, y) → (–x, –y)
D
(x, y) → (x, –y)
5

Which shows the image of quadrilateral ABCD after the transformation R0, 90°?

Question illustration
A
On a coordinate plane, a rectangle has points A prime (0, negative 1), B prime (1, 0), C prime (3, negative 2), D prime (2, negative 3).
Option A
B
On a coordinate plane, a rectangle has points A prime (0, 1), B prime (0, negative 1), C prime (negative 3, 2), D prime (negative 2, 3).
Option B
C
On a coordinate plane, a rectangle has points A prime (0, negative 1), B prime (negative 1, 0), C prime (negative 3, negative 2), D prime (negative 2, negative 3).
Option C
D
On a coordinate plane, a rectangle has points A prime (1, 0), B prime (0, 1), C prime (2, 3), D prime (3, 2).
Option D
6

A pentagon is transformed according to the rule R0, 180°. Which is another way to state the transformation?

A
(x, y) → (–x, –y)
B
(x, y) → (–y –x)
C
(x, y) → (x, –y)
D
(x, y) → (–x, y)
7

Quadrilateral ABCD is transformed according to the rule (x, y) → (y, –x). Which is another way to state the transformation?

A
R0, 90°
B
R0, 180°
C
R0, 270°
D
R0, 360°
8

Which shows the pre-image of quadrilateral W'X'Y'Z' before the figure was rotated according to the rule (x, y) → (–x, –y)?

Question illustration
A
On a coordinate plane, a quadrilateral has points W (negative 3, 2), X (negative 3, 6), Y (negative 4, 6), Z (negative 5, 3).
Option A
B
On a coordinate plane, a quadrilateral has points W (3, negative 2), X (3, negative 6), Y (4, negative 6), Z (5, negative 3).
Option B
C
On a coordinate plane, a quadrilateral has points W (negative 2, negative 3), X (negative 6, negative 3), Y (negative 6, negative 4), Z (negative 3, negative 5).
Option C
D
On a coordinate plane, a quadrilateral has points W (negative 3, negative 2), X (negative 3, negative 6), Y (negative 4, negative 6), Z (negative 5, negative 3).
Option D
9

Which transformations could have taken place? Select two options.

A
R0, 90°
B
R0, 180°
C
R0, 270°
D
R0, –90°
E
R0, –180°
10

Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has verticesX'(–3, 1), Y'(0, 0), and Z'(–2, –1). Which rule describes the transformation?

A
R0, 90°
B
R0, 180°
C
R0, 270°
D
R0, 360°

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