Dilations Math

Dilations are ________ but not congruent.

• Similar

• Flipped

• Rotated

• Congruent

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

• ½

• ¼

• 4

• 2

When a dilation has a scale factor greater than one, the dilation is an enlargement.

• True

• False

How do you write the algebraic notation when the scale factor is 1/2?

• (x, y) → (2x, 2y)

• (x, y) → (1/2x, 1/2y)

• (x, y) → (-2x, -2y)

• (x, y) → (2x, 1/2y)

Polygon LMNPQR is shown on the coordinate grid and models the shape of a garden in a park. Polygon LMNPQR will be dilated with the origin as the center of dilation to create polygon L 'M′′N′P′Q′R′. The vertex Q′ will be located at (21, 7).

Which rule best represents the dilation?

• 
• 
• 
• 

Triangle TRW is shown on the coordinate grid to the left.

Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation to create triangle T R′ ′W′. Which ordered pair best represents the location of point R′?

• 
• ( 3− n, −5n)

• ( 3− + n, −5 + n)

• 

A dilation is which of the following:

• only an enlargement

• only a reduction

• either an enlargement or a reduction

• neither an enlargement nor a reduction

Did the image enlarge, reduce or none of the above?

• Enlarge

• Reduce

• None of the above

Does the image show a Dilation? If yes, did the image enlarge, reduce or none of the above?

• Yes, enlarge

• Yes, reduce

• No

Under a dilation, which scale factor will result in a congruent image?

• -2

• 0

• 1

• ¹/₂