Dilations & Similar Triangles

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

CCSS.8.G.A.4

A dilation always produces a similar figure. Similar figures have the same ______ but different ______. 

• measure; shapes
• sizes; shapes
• value; measures
• shape; sizes

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

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)

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

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)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

CCSS.8.G.A.4

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

Tags

CCSS.8.G.A.3

Find missing side

• 5
• 7
• 9
• 11

Tags

CCSS.8.G.B.7

The pair of figures are similar. Find the missing side.

• x = 12

• x = 3

• x = 40

• x = 4

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

The pair of figures are similar. Find the missing side.

• x = 20

• x = 12

• x = 5

• x = 4

The pair of figures are similar. Find the missing side.

• 5 m

• 7 m

• 9 m

• 11 m

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

• (5,3)
• (20,12)
• (-20,-12)
• (-5,-3)

Tags

CCSS.8.G.A.3