Similar Polygons & Proportions B

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 their corresponding sides are proportional.

Front

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

Back

The corresponding angles of similar polygons are equal.

Front

If two polygons are similar, what can be said about their corresponding side lengths?

Back

The corresponding side lengths of similar polygons are proportional.

Front

What is the similarity statement for two similar triangles?

Back

A similarity statement expresses that two triangles are similar, such as ΔABC~ΔDEF.

Front

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

Back

Use the proportion of corresponding sides to set up a ratio and solve for the missing length.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, what is the ratio of their corresponding sides?

Back

The ratio is 1:2.

Front

What is the scale factor in similar polygons?

Back

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

Front

If the scale factor of two similar triangles is 3:5, and the length of a side in the smaller triangle is 9, what is the length of the corresponding side in the larger triangle?

Back

The length of the corresponding side in the larger triangle is 15.

Front

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

Back

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

Front

If the side lengths of two similar polygons are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9.