Solving Proportions-Similar Figures

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and then solve for the unknown variable.

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, meaning their corresponding angles are equal and their corresponding sides are in proportion.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The lengths of their corresponding sides are proportional.

Front

How can you find a missing side in similar figures?

Back

Set up a proportion using the lengths of the corresponding sides and solve for the missing side.

Front

What is the formula for finding the height of an object using similar triangles?

Back

The height of the object can be found using the ratio of the height to the shadow length, which is equal to the ratio of the observer's height to their shadow length.

Front

If Marvin's son is 3 ft tall and casts a shadow of 1 ft, and Marvin casts a shadow of 2.5 ft, how tall is Marvin?

Back

Marvin is 7.5 ft tall.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio and setting the two products equal to each other.

Front

Back

Front

What is the relationship between the sides of similar figures?

Back

The ratios of the lengths of corresponding sides of similar figures are equal.