Solving Proportions-Similar Figures

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

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 sides are in proportion.

Front

How do you find the height of an object using similar triangles?

Back

You can use the ratio of the heights to the lengths of their shadows to find the height of an object.

Front

If two triangles are similar, what can you say about their corresponding angles?

Back

The corresponding angles of similar triangles are equal.

Front

What is the formula for finding a missing side in similar figures?

Back

If two figures are similar, the ratio of their corresponding sides is equal to the ratio of their corresponding heights.

Front

If a tree casts a shadow of 10 feet and a person casts a shadow of 2 feet, how do you find the person's height if the tree is 30 feet tall?

Back

Set up the proportion: 30/10 = x/2, where x is the person's height.

Front

What is the relationship between the sides of similar figures?

Back

The sides of similar figures are proportional to each other.

Front

If a triangle has sides of lengths 3, 4, and 5, what are the lengths of the sides of a similar triangle if the shortest side is 6?

Back

The sides of the similar triangle would be 6, 8, and 10.

Front

How do you solve for x in a proportion?

Back

Cross-multiply the terms and then solve for x.

Front

What is the shadow rule in similar figures?

Back

The shadow rule states that the ratio of the heights of two objects is equal to the ratio of the lengths of their shadows.