scale factor

Front

What is the scale factor?

Back

The scale factor is a number that scales, or multiplies, a quantity. It is used to determine how much larger or smaller a figure is compared to the original.

Front

If a triangle is enlarged by a scale factor of 4, how does its area change?

Back

The area of the triangle increases by a factor of 4^2, which is 16 times the original area.

Front

What is the scale factor if the original shape is reduced to half its size?

Back

The scale factor is 1/2.

Front

How do you find the scale factor between two similar figures?

Back

Divide the length of a side of the enlarged figure by the length of the corresponding side of the original figure.

Front

If the scale factor is 3, what happens to the dimensions of the original shape?

Back

The dimensions of the original shape are multiplied by 3, making it three times larger.

Front

What is the scale factor from a rectangle measuring 4 cm by 6 cm to a rectangle measuring 2 cm by 3 cm?

Back

The scale factor is 1/2.

Front

If a shape is enlarged by a scale factor of 2, what is the new perimeter if the original perimeter is 10 cm?

Back

The new perimeter is 20 cm.

Front

What does a scale factor of 1 mean?

Back

A scale factor of 1 means the figure remains the same size; it is neither enlarged nor reduced.

Front

If the scale factor is 2/3, how does the size of the figure change?

Back

The figure is reduced to two-thirds of its original size.

Front

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

Back

The scale factor is the ratio of the lengths of corresponding sides of similar figures.