Question 1

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&deg;. What are the coordinates of S'?

Accepted Answer

a. (-4, 2)

Question 2

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

Accepted Answer

R 0,180&deg;(x, y) -> (-x, -y)

Question 3

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

Accepted Answer

b. The transformation was a 180&deg; rotation about the origin.

Question 4

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

Accepted Answer

a. The transformation was a 90&deg; rotation about the origin.

Question 5

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

Accepted Answer

a. the first

Question 6

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

Accepted Answer

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

Question 7

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

Accepted Answer

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&deg; about point C, it will be mapped onto itself.

Question 8

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

Accepted Answer

R 0, 90&deg;R 0, -270&deg;

Question 9

Which shows the image of quadrilateral ABCD after the transformation R 0,90&deg;?

Accepted Answer

a. Figure A

Question 10

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&deg;.Which statements are true regarding the transformation? Check all that apply.

Accepted Answer

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 11

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

Accepted Answer

c. R 0, 270&deg;

Question 12

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?

Accepted Answer

a. R 0, 90&deg;

Question 13

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

Accepted Answer

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

Question 14

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.

Accepted Answer

R 0, 270&deg;R 0, -90&deg;

Question 15

A triangle is rotated 90&deg; about the origin. Which rule describes the transformation?

Accepted Answer

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

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