Dilations Similar Figures and Scale Factor

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2

Determine the correct algebraic representation of the similar figures

• (x, y) -> (.5x, .5y)

• (x, y) -> (2x, 2y)

• (x, y) -> (x + 2, y + 2)

• (x, y) -> (x - .5, y - .5)

Triangle PQR is similar to triangle DEF shown. Which describes the relationship between the corresponding sides of the two triangles?

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Jane's garden is a 2 ft x 3 ft rectangle. If she increases it by a scale factor of 3, what is the new area of her garden?

• 72 squared feet

• 18 squared feet

• 36 squared feet

• 54 squared feet

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)

Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4 . Which describes the relationship between the two triangles?

• Triangle A'B'C' is an enlargement of triangle ABC

• Triangle A'B'C' is a reduction of triangle ABC

• Triangle A'B'C' is a mirror image of triangle ABC

Given that triangle ABC is similar to triangle ADE with AB = 2 cm, BD = 3 cm, and DE = 10 cm. What is the length of side length BC?

• 6.67 cm

• 5 cm

• 4 cm

• 6 cm

Which must be true of a scale factor of a dilation if the image is smaller that the pre-image?

• The scale factor is positive

• The scale factor is greater than 1

• The scale factor is between 0 and 1

• The scale factor is negative

Find y.

• 144

• 18

• 72

• 12

Which side length corresponds with EF?

• ML

• LM

• OL

• EH