Chapter 4 Test Review

Rotation

In this diagram, what is the BEST description of the transformation shown?

A'(-3, 0), B'(8, 3), C'(2, -9)

A triangle has vertices at A(-7, 6), B(4, 9), and C(-2, -3). What are the coordinates of each vertex if the triangle is translated 4 units right and 6 units down?

No, the triangles are similar with a scale factor of 2/3

Based on the triangles shown below, Theodore claims that ΔTUV is transformed to ΔWXY with a scale factor of 3/2. Is Theodore correct?

(7, 2)

Ellen needs to rotate figure KLMN 90° counterclockwise about the origin. What is K'?

A'(-5, 1), B'(-2, 8), C'(-6, 7)

If ΔCDE is reflected across the line y = x, what would be the coordinates of ΔA'B'C'?

-0.5, and 0.25

Ms. Hussain told her class that some dilations make figures bigger, some make figures smaller, and some make figures stay the same size. Select two of the scale factors that support Ms. Hussain's claim that some dilations make figures smaller.

a translation of 1 unit to the right and 1 unit down, followed by a counterclockwise rotation of 90° about point C, and then a reflection over x = 4

Rectangle ABCD and rectangle XYZW, shown on the coordinate plane below, are congruent. What rigid motions occurred??

180

Square ABCD is drawn on a coordinate plane. Square ABCD is rotated by 90° clockwise about the origin O to create square A′B′C′D′. Square A′B′C′D′ is then rotated by 90° clockwise about the origin O to create square A″B″C″D″. Based on the definition of rotation, Robin claims that the measure of angle BOB″ is 90° since the angle of rotation is 90°. Decide if Robin is correct. If she is correct, enter 90 below. If she is incorrect, enter the correct measure of angle BOB″.

180

The rule (x, y) → (-x, -y) results in which of the following rigid motions?

180

Tristan knows that there is a rotation at the origin that will carry the parallelogram shown onto itself. He decides to rotate this parallelogram clockwise. Enter the number of degrees (between 1 and 359) that the parallelogram should be rotated to carry it onto itself.

Translation 4 units vertically and 4 units horizontally

What is the rule for the blue figure to the red figure?

Translation 11 units down and 5 units to the right

What motion(s), will result in Triangle XYZ covering Triangle DFE completely?