Dilations

Dilations means: (pick all that apply)

• same size

• same shape

• different size

• none of the above

When the scale factor of a dilation is less than one, the dilation is a reduction (gets smaller).

• True

• False

Tags

CCSS.8.G.A.3

Does the image show a Dilation?

• Yes
• No

Tags

CCSS.8.G.A.3

A dilation always produces a congruent figure.

• True
• False

Tags

CCSS.HSG.SRT.A.1

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)
• A'(6,6) B'(9,9) C'(12,6)
• A'(0,0) B'(3,3) C'(6,0)
• A'(1,1) B'(2,2) C'(3,1)

Tags

CCSS.8.G.A.3

The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.

• reduction
• enlargement
• scale factor
• center of dilation

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Enlargement or reduction?  Find the scale factor!

• 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.3

CCSS.8.G.A.4

Which algebraic expression could be the rule for a reduction?

• (x, y)→(2x, 2y)
• (x, y)→(5/2 x, 5/2 y)
• (x, y) →(0.5x, 0.5y)
• (x, y)→(5x, 5y)

Tags

CCSS.HSG.CO.A.2

The algebraic expression for an enlargement by a scale factor of 3 is...

• (x, y)→(3x, 3y)
• (x, y)→(3, 3)
• (3x, y)→(x, y)
• (x, y)→(3x)

Tags

CCSS.8.G.A.3

Trapezoid A’B’C’D’ is the dilation of trapezoid ABCD.

Which algebraic representation shows this dilation?

• (x, y) --> (2x, 2y)

• (x, y) --> (0.5x, 0.5y)

• (2x, 2y) --> (x, y)

• (x, y) --> (3x, 2y)

Tags

CCSS.HSG.CO.A.2