Similar Polygons

Front

What are similar polygons?

Back

Polygons that have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What does it mean for sides of similar polygons to be proportional?

Back

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

Front

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

Back

All corresponding angles are equal.

Front

If triangle ABC is similar to triangle DEF, and AB = 6, DE = 12, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Front

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

Back

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

Front

If triangle XYZ is similar to triangle PQR, and XY = 8 and PR = 4, what is the scale factor from triangle PQR to triangle XYZ?

Back

The scale factor is 2.

Front

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

Back

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

Front

If the sides of two similar triangles are in the ratio 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 3^2:5^2 or 9:25.

Front

What is a proportion in the context of similar polygons?

Back

An equation that states that two ratios are equal.

Front

If triangle ABC is similar to triangle DEF and AB = 10, DE = 5, what is the length of side BC if EF = 15?

Back

BC = 30.