Scale & Scale Drawings

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 scale drawing or model is compared to the actual object.

Front

How do you calculate the new perimeter of a shape when enlarged by a scale factor?

Back

To find the new perimeter, multiply the original perimeter by the scale factor.

Front

If a triangle is scaled down by a factor of 1/2, what happens to its dimensions?

Back

All dimensions (length, width, height) of the triangle are halved.

Front

What is the relationship between the scale factor and the area of a shape?

Back

The area of a shape is scaled by the square of the scale factor. For example, if the scale factor is 2, the area increases by a factor of 2² = 4.

Front

If a model is built at a scale of 1 inch to 5 feet, how do you convert inches to feet?

Back

Multiply the number of inches by 5 to convert to feet.

Front

What is the scale of a drawing if a 10 ft object is represented as 2 inches?

Back

The scale is 1 inch to 5 feet.

Front

How do you find the actual size of an object from a scale drawing?

Back

Multiply the dimensions in the drawing by the scale factor to find the actual size.

Front

What is the scale factor if a rectangle's length is doubled?

Back

The scale factor is 2.

Front

If a model of a car is 3 inches long and the actual car is 12 feet long, what is the scale?

Back

The scale is 1 inch to 4 feet.

Front

What happens to the volume of a shape when it is scaled by a factor of 3?

Back

The volume increases by a factor of 3³ = 27.