Scale Factors & 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 the size of a scaled drawing or model compared to the original size.

Front

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

Back

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

Front

What does a scale factor greater than one indicate?

Back

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

Front

How do you find the scale of a drawing?

Back

To find the scale of a drawing, divide the actual size of the object by the size of the drawing.

Front

What is the relationship between similar figures and scale factors?

Back

Similar figures have the same shape but different sizes, and their corresponding sides are proportional, which can be expressed using scale factors.

Front

If a triangle has sides of 4 cm, 6 cm, and 8 cm, and is scaled by a factor of 3, what are the new side lengths?

Back

The new side lengths will be 12 cm, 18 cm, and 24 cm.

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is proportionally reduced or enlarged to fit on paper.

Front

If a scale drawing of a park is made with a scale of 1 inch = 10 yards, how long is a 50-yard path in the drawing?

Back

The path would be 5 inches long in the drawing.

Front

What is the formula to calculate the scale factor?

Back

Scale Factor = Length of Drawing / Length of Actual Object.

Front

In a scale drawing, if the drawing is 2 inches long and the actual object is 8 inches long, what is the scale factor?

Back

The scale factor is 1/4.