Geometric Dilations

A scale factor of less than one means

• that the prime image will be larger than the pre-image.
• That the prime image will be the same as the preimage.
• That you need to subtract that amount off  of each side.
• That the prime image will be a reduction of the preimage.

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

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

• ½

• ¼

• 4

• 2

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

If the origin is the center of this dilation, choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Dilate Point B by a scale factor of 1/2, with the origin as the center of the dilation.

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

How do you write the algebraic notation for a dilation from the origin with a scale factor of 3?

• (x, y) --> (1/3x, 1/3y)

• (x, y) --> (-3x, -3y)

• (x, y) --> (x + 3, y + 3)

• (x, y) --> (3x, 3y)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

Is this an enlargement or a reduction? What is the scale factor if the origin is the center of dilation?

• It's a reduction; the scale factor is 2.

• It's an enlargement; the scale factor is 2.

• It's an enlargement; the scale factor is 1/2.

• It's a reduction; the scale factor is 1/2.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

CCSS.8.G.A.4

Rectangle ABCD is dilated so that A' is located at (3, 6). What could be the dilation rule?

• (x, y) --> (2x, 3y)

• (x, y) --> (2/3 x, 2/3 y)

• (x, y) --> (3/2 x, 3/2 y)

• (x, y) --> (x + 2, y + 3)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

CCSS.8.G.A.4

A dilation preserves which of the following characteristics?

• Congruence

• Similarity

• Both

• None of these

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Does the image show a dilation centered at the origin? If yes, did the image enlarge, reduce or none of the above...and by what scale factor?

• Yes, it is an enlargement with a scale factor of 2

• Yes, it is a reduction with a scale factor of 1/2

• No, it is not a dilation

• No, it is not centered at the origin

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

CCSS.8.G.A.4

What the coordinates of the image of the given point B (-10,-6) under a dilation with the center at the origin and the scale factor k = 1/2 ?

• B' (5,3)

• B' (20,12)

• B' (-20,-12)

• B' (-5,-3)

Tags

CCSS.8.G.A.3