Similarity and Proportions

Front

What are similar polygons?

Back

Polygons that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

What is the similarity ratio?

Back

The ratio of the lengths of corresponding sides of two similar polygons.

Front

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

Back

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

Front

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

Back

All corresponding angles are equal.

Front

What is the formula for finding the area ratio of two similar polygons?

Back

The area ratio is the square of the similarity ratio.

Front

If the similarity ratio of two similar polygons is 2:3, what is the ratio of their areas?

Back

The area ratio is 4:9 (since (2^2):(3^2) = 4:9).

Front

What does it mean for two figures to be proportional?

Back

It means that the ratios of their corresponding sides are equal.

Front

How do you solve for x in similar polygons?

Back

Use the proportion of corresponding sides to set up an equation and solve for x.

Front

If one side of a triangle is 10 and the corresponding side of a similar triangle is 15, what is the similarity ratio?

Back

The similarity ratio is 10:15 or simplified to 2:3.

Front

What is the relationship between the lengths of corresponding sides in similar figures?

Back

The lengths of corresponding sides are in proportion to each other.