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 terms and then solve for the variable.

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may have different sizes; 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 ratios of the lengths of their corresponding sides are equal.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures.

Front

If a triangle has sides of lengths 3, 4, and 5, what are the lengths of the sides of a similar triangle with a scale factor of 2?

Back

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

Front

How do you find a missing side length in similar figures?

Back

Set up a proportion using the known side lengths and solve for the missing length.

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Front

If a 5 ounce bag of M&M’s has 17 blue candies, how many blue candies are in a 24 ounce bag?

Back

About 82 blue candies.

Front

Solve for x: 3/4 = x/16

Back

x = 12.