Scale Factor practice Unit 3-2-3

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or a space that is proportionally reduced or enlarged to fit on paper, maintaining the same ratios of dimensions.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of scale drawings, it is the ratio of a length in the drawing to the corresponding length in the actual object.

Front

If a rectangle has a length of 10 cm and a scale factor of 2, what is the length in the scale drawing?

Back

20 cm

Front

If a triangle has a height of 5 cm and a scale factor of 3, what is the height in the scale drawing?

Back

15 cm

Front

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

Back

To find the scale factor, divide the length of a side of the larger figure by the length of the corresponding side of the smaller figure.

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles in similar figures are equal.

Front

If the scale factor is 1/4, how does the area of the smaller figure compare to the larger figure?

Back

The area of the smaller figure is 1/16 of the area of the larger figure.

Front

What is the measurement of x if the scale factor is 5 and the corresponding side in the smaller figure is 4?

Back

20

Front

In a scale drawing, if the length of one side is 12 cm and the scale factor is 1/3, what is the actual length?

Back

36 cm

Front

What does it mean if two figures are similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding angles are equal while their corresponding sides are in proportion.