Dilation and the Effects of Area & Perimeter Exit Ticket

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Tags

CCSS.8.G.A.3

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during dilation.

Tags

CCSS.8.G.A.3

Front

If a triangle has a perimeter of 10 cm and is dilated by a scale factor of 2, what is the new perimeter?

Back

20 centimeters.

Tags

CCSS.8.G.A.3

Front

If a triangle has an area of 10 square cm and is dilated by a scale factor of 2, what is the new area?

Back

40 square centimeters.

Tags

CCSS.7.G.A.1

Front

What happens to the perimeter of a shape when it is dilated?

Back

The perimeter is multiplied by the scale factor.

Tags

CCSS.8.G.A.3

Front

What happens to the area of a shape when it is dilated?

Back

The area is multiplied by the square of the scale factor.

Tags

CCSS.7.G.A.1

Front

If the scale factor is less than 1, what type of dilation is it?

Back

Reduction.

Tags

CCSS.8.G.A.3

Front

If the scale factor is greater than 1, what type of dilation is it?

Back

Enlargement.

Tags

CCSS.8.G.A.3

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1

Front

How do you find the new area after dilation?

Back

New Area = Original Area * (Scale Factor)^2.

Tags

CCSS.7.G.A.1