# Rotations

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question
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)
question
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)
question
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.
question
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.
question
Which shows the image of RST after the rotation (x, y) -> (y, -x)?
a. the first
question
A pentagon is transformed according to the rule R 0,180°. Which is another way to state the transformation?
a. (x, y) -> (-x, -y)
question
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.
question
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°
question
Which shows the image of quadrilateral ABCD after the transformation R 0,90°?
a. Figure A
question
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).
question
Quadrilateral ABCD is transformed according to the rule (x, y) -> (y, -x). Which is another way to state the transformation?
c. R 0, 270°
question
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?