Scale Factor and Dilations

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. In dilations, it determines how much larger or smaller a figure becomes.

Tags

CCSS.8.G.A.3

Front

What does it mean to dilate a figure?

Back

To dilate a figure means to resize it by a scale factor, either enlarging or reducing its dimensions while maintaining its shape.

Tags

CCSS.8.G.A.3

Front

If a triangle has a perimeter of 12 and is dilated by a scale factor of 3, what is the new perimeter?

Back

36

Tags

CCSS.7.G.A.1

Front

What is the scale factor if triangle A is dilated to triangle B and the lengths of corresponding sides are in the ratio 4:3?

Back

Tags

CCSS.8.G.A.3

Front

What does congruent mean in geometry?

Back

Congruent means that two figures have the same size and shape.

Tags

CCSS.8.G.A.2

Front

If Point B (2, 3) is dilated by a scale factor of 2, what are the coordinates of the new point?

Back

(4, 6)

Tags

CCSS.8.G.A.3

Front

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

Back

Tags

CCSS.7.G.A.1

Front

If a rectangle has a length of 4 and a width of 2, what are the dimensions after a dilation by a scale factor of 1/2?

Back

Length: 2, Width: 1

Tags

CCSS.8.G.A.3

Front

What is the relationship between the scale factor and the lengths of corresponding sides in similar figures?

Back

The lengths of corresponding sides are proportional to the scale factor.

Tags

CCSS.7.G.A.1

Front

If a point (x, y) is dilated by a scale factor of 3, what are the new coordinates?

Back

(3x, 3y)

Tags

CCSS.8.G.A.3