How Does Area Change When Dilated

Circle B is a dilation of Circle A by point D. The area of Circle B is 900π. The area of circle A is 36π. What is the scale factor?

Mathematical Equivalence

ON

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CCSS.7.G.A.1

Mathematical Equivalence

ON

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A government agency is redesigning a satellite, or an object that goes in orbit around Earth. The surface of the satellite is covered with solar panels that supply the satellite with energy. The interior of the satellite is filled with scientific instruments. In the current design, the satellite has a surface area of 5.4 square feet and a volume of 1.2 cubic feet. If the agency wants to increase the surface area to 48.6 square feet so the satellite can generate more energy, by what scale factor do they need to dilate the satellite? _

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CCSS.6.G.A.4

A figure has an area of 50 units² What will the new area be after a dilation with a scale factor of 3?

• 150 units²

• 7,500 units²

• 450 units²

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CCSS.7.G.A.1

Circle I was dilated with the origin as the center of dilation to create Circle II. Which rule best represents the dilation applied to Circle I to create Circle II?

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TEKS 8.3C

A preschool has a rectangular field and a rectangular playground that are similar in shape. Each dimension of the field is 3 times the corresponding dimension of the playground. Which statement is true?

• The area of the field is 9 times the area of the playground.

• The area of the field is 3 times the area of the playground.

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CCSS.7.G.A.1

An architect was hired to construct a den in the shape of a square. If the client wanted to double the length of each side of the square, how would the new area of the room compare with the area of the original room?

• The areas would be exactly the same.

• The new area would be twice the original area.

• The new area would be four times the original area.

• The new area would be eight times the original area.

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CCSS.7.G.A.1

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

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CCSS.HSG.CO.A.2

In a dilation what mathematical operation is used with the scale factor?

• addition 

• subtraction 

• multiplication 

• division 

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CCSS.8.G.A.3

You can map PQRS to TUVW by first doing a reflection and then a dilation. What is the dilation?

• (x,y) -> (3x, 3y)

• (x,y) -> (1/3x,1/3y)

• (x,y) -> (2x, 2y)

• (x,y) -> (1/2x, 1/2y)

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CCSS.8.G.A.4

CCSS.HSG.SRT.A.2