Test - Dilations and Similar Figures

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

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

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.HSG.CO.A.2

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

Which of the following algebraic expression would create an enlargement?

• (x,y) -----> (x+3,y+3)

• (x,y) -----> (-2x,-2y)

• (x,y) -----> (0.75x,0.75y)

• (x,y) -----> (2.3x,2.3y)

Tags

CCSS.8.G.A.3

• (x,y) ----> (2x,2y)

• (x,y) ----> (½x,½y)

• (x,y) ----> (x+2,y+2)

• (x,y) ----> (x+½,y+½)

Tags

CCSS.HSG.CO.A.2

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

• x = 10
• x = 4
• x = 2
• x = 5

Tags

CCSS.HSG.SRT.B.5

The figures are similar. Find x.

• x = 80

• x = 5

• x = 18.5

• x = 11

Tags

CCSS.HSG.SRT.A.2

If a rectangle has an area of 48 cm² and has a scale factor of 2, what would be the area of the new rectangle?

• 96 cm²

• 192 cm²

• 216 cm²

• 2304 cm²

If a shape is dilated by a scale factor of one-half, what is the resulting perimeter? 

• The new perimeter is one-half the original
• The new perimeter is 2 times the original
• The new perimeter is one-fourth the original 
• The new perimeter is 4 times the original

Tags

CCSS.8.G.A.3