Similar Shapes Are Dilations

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Which of the following is the algebraic representation for a dilation?

• (x, y) → (x, 3y)

• (x, y) → (3x, 3y)

• (x, y) → (x, y - 3)

• (x, y) → (.5x, .4y)

Are the two polygons similar? If not, explain why. (They are not drawn to scale, but you can assume all angles are 90°.)

• Yes

• No; Not enough information to tell

• No; 5 ⁄ 25 ≠ 6 ⁄ 10

• No; 5 ⁄ 25 ≠ 8 ⁄ 41

Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement.

• 2 / 5; reduction

• 5 / 2; enlargement

• 2 / 3; reduction

• 3 / 2; enlargement

If two polygons are SIMILAR, then the corresponding sides must be _____.

• Congruent

• Proportional

• Parallel

• similar

Describe the similarity transformation that maps to (dilations have a center at the origin).

• a dilation with a scale factor of 2 followed by a translation 4 units right and 3 units down.

• a dilation with a scale factor of 1 / 2 followed by a translation 4 units left and 3 units up.

• Translation 4 units right and 3 units down followed by a dilation with a scale factor 2.

• Translation 4 units left and 3 units up followed by a dilation with a scale factor 1 / 2.

The two polygons are similar.

Find the value of x

Find the scale factor

Find the ratio of the perimeter.

Value of x: ____, Scale factor: ____, Ratio of perimeter: ____

If the scale factor is less than one, the new figure will be

• an enlargement

• a reduction

• a scale factor

• bigger

If two polygons are SIMILAR, then the corresponding angles must be _____.

• Complementary

• Supplementary

• Congruent

• Linear pairs

Determine the correct algebraic representation of the similar figures shown.

• (x, y) -> (2x, 2y)

• (x, y) -> (.5x, .5y)

• (x, y) -> (x, 2y)

• (x, y) -> (.5x, y)