Unit 4 Unit Rate and Proportions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

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 happens to the area of a figure when the scale factor is greater than 1?

Back

When the scale factor is greater than 1, the area of the figure increases by the square of the scale factor.

Front

If the scale factor is 1/2, what happens to the size of the figure?

Back

If the scale factor is 1/2, the figure is reduced to half its original size.

Front

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

Back

The dimensions of similar figures are proportional to the scale factor. If the scale factor is k, then each dimension of the figure is multiplied by k.

Front

How do you set up a proportion to solve for an unknown height?

Back

To set up a proportion, use the ratio of the heights to the lengths of the shadows. For example, if a tree's height is to its shadow as a building's height is to its shadow, set it up as: height_tree/shadow_tree = height_building/shadow_building.

Front

What is an enlargement in geometry?

Back

An enlargement is a transformation that increases the size of a figure by a scale factor greater than 1.

Front

What is a reduction in geometry?

Back

A reduction is a transformation that decreases the size of a figure by a scale factor less than 1.

Front

If a triangle has a scale factor of 2, what is the relationship between the sides of the triangle and the new triangle?

Back

The sides of the new triangle will be twice the length of the corresponding sides of the original triangle.