Area of Figures and Dilations

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.HSG.CO.A.2

Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4 . Which describes the relationship between the two triangles?

• Triangle A'B'C' is an enlargement of triangle ABC

• Triangle A'B'C' is a reduction of triangle ABC

• Triangle A'B'C' is a mirror image of triangle ABC

Tags

CCSS.8.G.A.3

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

Which side length corresponds with EF?

• ML

• LM

• OL

• EH

Tags

CCSS.HSG.CO.B.7

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

A rectangle has an area of 48 cm². It is dilated by a scale factor of 2. What would be the area of the new rectangle (the image)?

• 96 cm²

• 192 cm²

• 216 cm²

• 2304 cm²

Tags

CCSS.7.G.A.1

When you dilate, you ______ x and y by a number.

• Multiply

• Add

• Subtract

• Divide

Tags

CCSS.8.G.A.3

Dilations are ________ but not congruent.

• Similar

• Flipped

• Rotated

• Congruent

Tags

CCSS.8.G.A.3

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

• 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

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Tags

CCSS.HSG.CO.A.2