Dilations and scale factors

Front

What is a dilation in geometry?

Back

A 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 a dilation.

Tags

CCSS.8.G.A.3

Front

If the scale factor is 1, what happens to the figure?

Back

If the scale factor is 1, the figure remains the same size; it is neither enlarged nor reduced.

Tags

CCSS.8.G.A.3

Front

What happens to a figure when the scale factor is greater than 1?

Back

When the scale factor is greater than 1, the figure is enlarged.

Tags

CCSS.8.G.A.3

Front

What happens to a figure when the scale factor is less than 1?

Back

When the scale factor is less than 1, the figure is reduced.

Tags

CCSS.8.G.A.3

Front

How do you calculate the scale factor between two points?

Back

The scale factor can be calculated by dividing the coordinates of the dilated point by the coordinates of the original point.

Tags

CCSS.8.G.A.3

Front

What is the scale factor if the original point is (4, 6) and the dilated point is (2, 3)?

Back

The scale factor is 1/2.

Tags

CCSS.8.G.A.3

Front

Write the algebraic notation for a dilation with a scale factor of 3.

Back

(x, y) goes to (3x, 3y).

Tags

CCSS.8.G.A.3

Front

What is the scale factor if the original triangle has a side length of 6 and the dilated triangle has a side length of 3?

Back

The scale factor is 1/2.

Tags

CCSS.8.G.A.3

Front

If a figure is dilated by a scale factor of 2, what happens to its area?

Back

The area of the figure is multiplied by the square of the scale factor, so it becomes 4 times larger.

Tags

CCSS.7.G.A.1