AnswersHigh School Math 2 ARotations

Rotations Answers

14 verified answers5 views
1
Free Preview

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
2
Free Preview

Which shows the image of ΔRST after the rotation (x, y) → (y, –x)?

Question illustration
A
On a coordinate plane, a triangle has points R prime (1, 2), S prime (3, negative 1), T prime (7, 1).
Option A
B
On a coordinate plane, a triangle has points R prime (1, negative 2), S prime (3, 1), T prime (7, negative 1).
Option B
C
On a coordinate plane, a triangle has points R prime (negative 1, negative 2), S prime (negative 3, 1), T prime (negative 7, negative 1).
Option C
D
On a coordinate plane, a triangle has points R prime (2, 1), S prime (negative 1, 3), T prime (1, 7).
Option D
3

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°
4

Which shows the image of ΔRST after the rotation (x, y) → (y, –x)?

Question illustration
A
On a coordinate plane, a triangle has points R prime (1, 2), S prime (3, negative 1), T prime (7, 1).
Option A
B
On a coordinate plane, a triangle has points R prime (1, negative 2), S prime (3, 1), T prime (7, negative 1).
Option B
C
On a coordinate plane, a triangle has points R prime (negative 1, negative 2), S prime (negative 3, 1), T prime (negative 7, negative 1).
Option C
D
On a coordinate plane, a triangle has points R prime (2, 1), S prime (negative 1, 3), T prime (1, 7).
Option D
5

Which statements are true regarding the transformation? Select three options.

A
The rule for the transformation is (x, y) → (–x, –y).
B
The coordinates of L' are (–2,–2).
C
The coordinates of M' are (–4,4).
D
The coordinates of N' are (6,–1).
E
The coordinates of N' are (–1,–6).
6

For the transformation to be defined as a rotation, which statements must be true? Select three options.

A
The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2).
B
The transformation is rigid.
C
Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.
D
Segment CP is parallel to segment CP'.
E
If figure 1 is rotated 180° about point C, it will be mapped onto itself.
7

Which transformations could have taken place? Select two options. Consider both clockwise and counterclockwise rotations when answering this question.

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

On a coordinate plane, a trapezoid has points H prime (negative 3, negative 2), J prime (negative 2, negative 3), K prime (negative 3, negative 4), G prime (negative 5, negative 2).

Question illustration
A
(2, 3)
B
(–2, 3)
C
(3, 2)
D
(3, –2)
10

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)
11

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)
12

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)
13

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)
14

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)
15

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.
16

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)
17

Triangle ABC was transformed using the rule (x, y) → (–y, x). The vertices of the triangles are shown.A (–1, 1)B (1, 1)C (1, 4) A' (–1, –1)B' (–1, 1)C' (–4, 1)

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.
18

For the transformation to be defined as a rotation, which statements must be true? Select three options.

A
The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2).
B
The transformation is rigid.
C
Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.
D
Segment CP is parallel to segment CP'.
E
If figure 1 is rotated 180° about point C, it will be mapped onto itself.
19

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°

Did you find these answers helpful?

More from this Course

Quiz
16 verified answers

Isosceles Triangles

Quiz
15 verified answers

Writing Linear Equations

Quiz
15 verified answers

Triangles and Their Side Lengths