Review for Dilations Quiz

Review for Dilations Quiz

by Jennifer Fuller

Poll

How prepared do you feel for your dilations quiz?

• Awesome! Gonna ace it!

• Meh. I'll do OK, but I need to study.

• Horrible :( Worried I won't pass.

Multiple Choice

A dilation is given by the transformation (x, y) → (2/3x, 2/3y). Will this produce an enlargement or reduction?

• reduction

• enlargement

• There is no way to tell without drawing the figure

• Could be a reduction or an enlargement depending on where the center of dilation is

Multiple Choice

A dilation is given by the transformation (x, y) → (3/2x, 3/2y). Will this produce an enlargement or reduction?

• reduction

• enlargement

• There is no way to tell without drawing the figure

• Could be a reduction or an enlargement depending on where the center of dilation is

Multiple Choice

What is the scale factor for this dilation?

• 2

• 1/2

• 3

• 1/3

Multiple Choice

What is the scale factor for this dilation?

• 2.5

• 2

• 0.5

• 3

Multiple Choice

The graph shows the dilation of quadrilateral MNOP with the origin as its center. Which rule describes this transformation?

• (x, y) → (3x, 3y)

• (x, y) → (x + 3, y +3)

• (x, y) → (x - 3, y - 3)

• (x, y) → (1/3x, 1/3y)

Multiple Choice

Triangle MNL undergoes a dilation centered at the origin. The result is the green triangle. Which rule describes the dilation?

• (x, y) → (5x, 5y)

• (x, y) → (3x, 3y)

• (x, y) → (15x, 15y)

• (x, y) → (−5x, −5y)

Multiple Select

Which characteristics are always true for dilations? Check all that apply.

• Rigid Transformation

• Creates similar shapes

• Always transformed about the origin

• Angles stay the same

Multiple Choice

Consider that ΔLMN is similar to ΔPQR and the measure of ∠P is 80°. What is the measure of ∠L?

• 80°

• 100°

• 20°

• 90°

Multiple Choice

Consider that the length of rectangle A is 21 cm and its width is 7 cm. Which rectangle is similar to rectangle A?

• A rectangle with a length of 9 cm and a width of 3 cm.

• A rectangle with a length of 20 cm and a width of 10 cm.

• A rectangle with a length of 18 cm and a width of 9 cm.

• A rectangle with a length of 27 cm and a width of 3 cm.