Scale Factor Review

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. It is used to determine how much larger or smaller a figure is compared to another figure.

Front

If a scale factor is greater than 1, what happens to the size of the figure?

Back

The figure is enlarged.

Front

If a scale factor is less than 1, what happens to the size of the figure?

Back

The figure is reduced.

Front

What is the scale factor from triangle ABC to triangle DEF if triangle DEF is twice the size of triangle ABC?

Back

The scale factor is 2/1.

Front

How do you calculate the actual distance if the scale is 1 inch to 5 miles and the drawing shows a road that is 3 inches long?

Back

Multiply 3 inches by 5 miles/inch to get 15 miles.

Front

What does it mean for two figures to be similar?

Back

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

Front

What is the relationship between the scale factor and the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor.

Front

If a rectangle has a length of 10 cm and a width of 5 cm, what are the dimensions of a similar rectangle with a scale factor of 2?

Back

The dimensions would be 20 cm (length) and 10 cm (width).

Front

What is the formula to find the scale factor between two similar figures?

Back

Scale Factor = Length of one figure / Length of corresponding side of the other figure.

Front

If a drawing is made to a scale of 1:100, how many actual meters does 1 cm on the drawing represent?

Back

1 cm on the drawing represents 100 meters in reality.