Dilating Area

A rectangle has a perimeter of 20 centimeters and an area of 24 square centimeters.

Find the area of the rectangle that is made by enlarging the rectangle by a scale factor of 3.

________ square cm

A rectangle has a perimeter of 20 centimeters and an area of 24 square centimeters.

Find the area of the rectangle that is made by enlarging the rectangle by a scale factor of 10.

________ square cm

A rectangle has a perimeter of 20 centimeters and an area of 24 square centimeters.

Find the area of the rectangle that is made by dilating the rectangle by a scale factor of ½.

________ square cm

Which of the following expressions describes the ratio of the areas of two dilated figures with scale factor k?

• 1

A rectangle has an area of 30 cm². The rectangle is dilated with a scale factor of 3. What is the area of the new rectangle?

• 30 cm²

• 90 cm²

• 270 cm²

• impossible to know

What are the coordinates for the center of dilation?

• (0, 0)

• (-3, -1)

• (-12, 6)

• (-3, -3)

The scale factor for this dilation is:

Mathematical Equivalence

ON

Identify the center of dilation.

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

• dilation

• rotation

• reflection

• translation

Is this an enlargement or a reduction?

• Enlargement

• Reduction