Dilations Practice

Is this an enlargement or a reduction?

• Enlargement

• Reduction

Triangle A’B’C’ is the dilation of triangle ABC.

Which algebraic representation shows this dilation?

• (x, y) --> (1/2x, 1/2y)

• (x, y) --> (2x, 2y)

• (x, y) --> (x + 1/2, y)

• (x, y) --> (1/2x, y)

Which of the following describes the image of a triangle after a dilation that has a scale factor of 5/6 ?

• Each angle has 5/6 of the measure of its corresponding angle in the original triangle.

• Each angle has 65 of the measure of its corresponding angle in the original triangle.

• Each angle has the same measure as its corresponding angle in the original triangle.

• Each angle is 16 larger than the measure of its corresponding angle in the original triangle.

Enlargement or reduction?

• Enlargement

• Reduction

Which of the following describes the image of a figure after a dilation that has a scale factor between zero and one?

• It has a different shape from the original figure and is smaller than the original figure.

• It has the same shape as the original and is smaller than the original figure.

• It has the same shape as the original and is larger than the original figure.

• It has the same shape and same size as the original figure.

True or False. Dilated figures produce congruent figures.

• True

• False

What are the coordinates of after a dilation with a scale factor of 2/3

• P'(-2, 1), Q'(0, 2), R'(2, 2)

• P'(-4, 2), Q'(0, 4), R'(4, 4)

• P'(-4, 2), Q'(4, 0), R'(4, 2)

• P'(-12, 6), Q'(0, 12), R'(12, 12)

How does the size of an image compare to the original figure when the original figure undergoes a dilation with a scale factor of one?

• The figure will be enlarged

• The figure will be compressed

• The figure will remain the same

• The figure will be reflected

Quadrilateral WXYZ was dilated with the origin as the center to create quadrilateral W’X’Y’Z’.

Which rule best represents the dilation that was applied to quadrilateral WXYZ to create quadrilateral W’X’Y’Z’?

• (x, y) --> (0.4x, 0.4y)

• (x, y) --> (x + 3, y + 2)

• (x, y) --> (2.5x, 2.5y)

• (x, y) --> (x - 3, y - 2)

Triangle PQR has coordinates P(2, 4), Q(-2, 4), R(0, -6). What are the coordinates of R' after the image has been dilated by a scale factor 1.5?

• R'(0, -9)

• R'(-9, 0)

• R'(3, 6)

• R'(-3, 6)