Transformations in Symmetry

Point A (4, -2) is reflected over the line y = x, rotated 270 degrees CCW and reflected over the y-axis. What is A'''?

• Point A''' is (4, -2)

• Point A''' is (4, 2)

• Point A''' is (-2, 4)

• Point A''' is (-4, 2)

Describe the transformation.

• translation by (x - 1, y + 6)

• reflection across x = -2

• translation by (x + 6, y - 1)

• reflection across y = -2

Describe the transformation.

• reflection across the line y = x

• reflection across the line y = -x

• rotation 180 degrees CCW about the origin

• rotation 90 degrees clockwise about the origin

• (1)

• (2)

• (3)

• (4)

• 1

• 2

• 3

• 4

What is the sequence of transformations for the image given?

• Reflect over the y-axis, translate by T_6,0

• Reflect over the x-axis then translate by T_6,0

• Reflect over the x-axis then translate by T_2,6

• Reflect over the y-axis then translate by T_2,6

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, 5)

• (-5, 3)

• (-3, 3)

A nonagon is a nine-sided polygon. If a regular nonagon was rotated about its center point, which angle of rotation would not map the figure onto itself?

What does NOT change from the pre-image to the image in an isometric transformation? Select ALL that apply.

• The length of the line segments

• The position of the figure.

• The angle measures.

• The orientation of the object.

• The area of the image.