How Dilations Affect Area

If a rectangle is drawn and another rectangle is drawn so that the sides are twice as big as the first rectangle, what happens to the area?

• doubles

• triples

• quadruples

• not enough information

Tags

CCSS.7.G.A.1

What is the scale factor used to dilate the small square to the larger square given there areas?

• 4

• 16

• 3

• 12

Tags

CCSS.7.G.A.1

What happens to the area of a figure when it is dilated by a scale factor k?

Answer explanation

When a figure is dilated by a scale factor k, its area is multiplied by k². This means if the scale factor is 2, the area becomes 4 times larger; if it's 0.5, the area becomes 0.25 times smaller.

Tags

CCSS.8.G.A.3

Does the image show a Dilation?

• Yes

• No

Tags

CCSS.HSG.CO.A.2

a transformation that ​changes the size (enlargement or reduction) of a figure is called a ​ ​ ​ (a)  

• dilation

• rotation

• reflection

• translation

Tags

CCSS.8.G.A.3

True or false, when a figure is dilated, the new area is always greater?

• True

• False

Tags

CCSS.8.G.A.3

If the scale factor is greater than 1, the dilation is (a)  

• an enlargement

• a rotation

• a translation

• a reduction

Tags

CCSS.8.G.A.3

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Tags

CCSS.HSG.CO.A.2

A dilation is which of the following: 

• only an enlargement

• only a reduction

• Either an enlargement or a reduction

• Neither an enlargement or a reduction

Tags

CCSS.8.G.A.3

Enlargement or reduction?  Find the scale factor!

• It's an enlargement; the scale factor is 1/2.

• It's an enlargement; the scale factor is 2.

• It's a reduction; the scale factor is 1/2.

• It's a reduction; the scale factor is 2.

Tags

CCSS.8.G.A.3