Scale Factor

Front

What is a scale factor?

Back

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

Front

If the scale factor is less than 1, what does it indicate about the new figure?

Back

It indicates that the new figure is a reduction of the original figure.

Front

If the scale factor is greater than 1, what does it indicate about the new figure?

Back

It indicates that the new figure is an enlargement of the original figure.

Front

What is the formula to find the area of a scaled figure?

Back

Area of scaled figure = (scale factor)² × Area of original figure.

Front

How do you calculate the actual distance using a map scale?

Back

Actual distance = Distance on map × Scale factor.

Front

What is the scale if 1 inch on a map represents 40 miles in reality?

Back

The scale is 1 inch = 40 miles.

Front

If a triangle has a scale factor of 1/2, what happens to its dimensions?

Back

All dimensions of the triangle are halved.

Front

What is the area of a square with a side length of 10 inches when scaled by a factor of 2?

Back

Area = (2 × 10)² = 400 square inches.

Front

If a rectangle has a length of 8 inches and a width of 4 inches, what is its area?

Back

Area = length × width = 8 × 4 = 32 square inches.

Front

What is the scale factor if a figure is enlarged from 3 inches to 9 inches?

Back

Scale factor = 9 inches / 3 inches = 3.