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.

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.

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

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

Front

What does congruent mean in geometry?

Back

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

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)

Front

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

Back

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

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.

Front

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

Back

(3x, 3y)