Rotations

A triangle has vertices at R(1, 1), S(-2, -4), and T(-3, -3). The triangle is transformed according to the Rule 0,270°. What are the coordinates of S'?

a. (-4, 2)

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

b. (x, y) -> (-y, x)

One vertex of a triangle is located at (0, 5) on a coordinate grid. After a transformation, the vertex is located at (5, 0). Which transformation could have taken place? Check all that apply.

R 0, 270° R 0, -90°

Which shows the image of quadrilateral ABCD after the transformation R 0,90°?

a. Figure A

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

c. R 0, 270°

A triangle has vertices at L(2, 2), M(4, 4), N(1, 6). The triangle is transformed according to the rule R 0,180°. Which statements are true regarding the transformation? Check all that apply.

The rule for the transformation is (x, y) -> (-x, -y). The coordinates of L' are (-2, -2) The coordinates of N' are (-1, -6).

Figure 2 was constructed using figure 1. For the transformation to be defined as a rotation, which statements must be true? Check all that apply

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). The transformation is rigid. Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2. If figure 1 is located 360° about point C, it will be mapped onto itself.

Parallelogram ABCD is rotated to create image A'B'C'D'. Which rule describes the transformation?

a. (x, y) -> (y, -x)

Triangle RST was transformed using the rule (x, y) -> (-x, -y). The vertices of the triangle are shown. Which best describes the transformation?

b. The transformation was a 180° rotation about the origin.

A pentagon is transformed according to the rule R 0,180°. Which is another way to state the transformation?

a. (x, y) -> (-x, -y)

Which shows the image of RST after the rotation (x, y) -> (y, -x)?

a. the first

One vertex of a polygon is located at (3, -2). After a rotation, the vertex is located at (2, 3). Which transformations could have taken place? Check all that apply

R 0, 90° R 0, -270°

Triangle XYZ is rotated to create the image triangle X'Y'Z. Which rules could describe the rotation? Check all that apply.

R 0,180° (x, y) -> (-x, -y)

Triangle ABC was transformed using the rule (x, y) -> (-y, x). The vertices of the triangle are shown. Which best describes the transformation?

a. The transformation was a 90° rotation about the origin.

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

a. R 0, 90°