Rotations

Question 1

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)

Revolt · Accepted Answer

The transformation was a 90° rotation about the origin.

Question 2

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

Revolt · Accepted Answer

(x, y) → (y, –x)

Question 3

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).

Revolt · Accepted Answer

(3, 2)

Question 4

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

Revolt · Accepted Answer

R0, 270°

Question 5

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

Revolt · Accepted Answer

(x, y) → (–y, x)

Question 6

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

Revolt · Accepted Answer

On a coordinate plane, a triangle has points R prime (1, 2), S prime (3, negative 1), T prime (7, 1).

Question 7

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

Revolt · Accepted Answer

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).

Question 8

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

Revolt · Accepted Answer

R0, 90°; R0, –270°

Question 9

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?

Revolt · Accepted Answer

R0, 90°

Rotations Answers

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