Sequences of Transformations Practice

Find the coordinates of the vertices of each figure after the given transformation: dilation of 1.5 about the origin, then reflect across x-axis.

• G'(1, 0)

• G'(-2, -3)

• G'(-4.5, -3)

• G'(-4.5, 3)

Find the coordinates of the vertices of each figure after the given transformation: rotation 90° clockwise about the origin, then translate two units up.

• M'(3,2)

• M'(-3,2)

• M'(3, 0)

• M'(0, 3)

Find the coordinates of the vertices of each figure after the given transformation: dilation of 1.5 about the origin, then rotation 270 degrees counterclockwise.

• Q'(-1.5, -3)

• Q'(-3, 1.5)

• Q'(-2, 1)

• Q'(-1, 2)

Find the coordinates of the vertices of each figure after the given transformation: rotation 90° counterclockwise about the origin, then translate two units down.

• K'(-2, -2)

• K'(-2,0)

• K'(2, -2)

• K'(-2, 2)

rotation 180° about the origin, then reflect across the y-axis.

• H(1, -5)

• H(-1, 5)

• H(4, -3)

• H(5, -1)

reflection across the x-axis, then rotate 180 degrees.

• E(1,3)

• E(3, 1)

• E(5, 1)

• E(-1, -3)

rotation 90° counterclockwise about the origin, then reflect over x-axis.

• R(-4.5, 4.5)

• R(3, -3)

• R(-5, 2)

• R(-3, 3)

translation: 2 units right and 5 units down, the rotate 270 degrees counterclockwise.

• W(0, 4)

• W(-2, 3)

• W(-5, -3)

• W(-3, -2)

translation: 4 units right and 6 units down, then rotate 90 degrees counter clockwise.

• J(3, -3)

• J(3, 3)

• J(-1, -3)

• J(-1.5, 4.5)

dilation of 0.5 about the origin, then translate 1 unit to the right.

• J(-0.5, -1.25)

• J(0, -2.5)

• J(-1, -2.5)

• J(4, 2)