1.4 Scale Factor Flashcardzes

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 copy of a figure.

Front

If the scale factor is 4, what is the new measurement if the original measurement is 6 m?

Back

24 m (6 m x 4 = 24 m)

Front

What does it mean for two figures to be scaled copies of each other?

Back

Two figures are scaled copies if they have the same shape but different sizes, and their corresponding sides are in proportion.

Front

If the original length is 12 units and the scale factor is 1/4, what is the new length?

Back

3 units (12 units x 1/4 = 3 units)

Front

How do you find the scale drawing height if the actual height is 300 ft and the scale is 1 inch : 10 ft?

Back

Divide the actual height by the scale factor: 300 ft ÷ 10 ft/inch = 30 inches.

Front

What is the formula to calculate the new size using scale factor?

Back

New Size = Original Size x Scale Factor.

Front

If a figure is enlarged by a scale factor of 2, what happens to its area?

Back

The area increases by a factor of 2² = 4.

Front

What is the scale factor if the original measurement is 10 m and the new measurement is 25 m?

Back

The scale factor is 2.5 (25 m ÷ 10 m = 2.5).

Front

If a scale drawing has a scale of 1:50, what does this mean?

Back

It means that 1 unit on the drawing represents 50 units in real life.

Front

What is the relationship between the scale factor and the dimensions of a figure?

Back

The scale factor determines how much larger or smaller the dimensions of a figure will be in a scaled copy.