Scale Drawings and Finding Scale Factors

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or a shape that is proportional to its actual size, using a specific ratio or scale factor.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In scale drawings, it indicates how much larger or smaller the drawing is compared to the actual object.

Front

If a rectangle has dimensions 4 cm by 2 cm and is enlarged by a scale factor of 2, what are the new dimensions?

Back

8 cm by 4 cm.

Front

How do you calculate the new dimensions of a shape when given a scale factor?

Back

Multiply each dimension of the original shape by the scale factor.

Front

What are the dimensions of a photo that is 10 cm by 5 cm when enlarged by a scale factor of 3?

Back

30 cm by 15 cm.

Front

If a shape is reduced by a scale factor of 1/2, what happens to its dimensions?

Back

Each dimension is halved.

Front

What is the scale factor if a shape's dimensions change from 6 cm by 3 cm to 12 cm by 6 cm?

Back

The scale factor is 2.

Front

If a triangle has sides measuring 3 cm, 4 cm, and 5 cm, what will be the side lengths if enlarged by a scale factor of 3?

Back

9 cm, 12 cm, and 15 cm.

Front

What does it mean for two shapes to be scale copies?

Back

Two shapes are scale copies if they have the same shape but different sizes, related by a scale factor.

Front

If a shape has a length of 10 cm and a width of 5 cm, what will be the new dimensions if enlarged by a scale factor of 4?

Back

Length 40 cm and width 20 cm.