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 in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

Their corresponding angles are congruent.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

When two polygons are similar, what can be said about their corresponding sides?

Back

Their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Back

The ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the scale factor in similar polygons?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If the scale factor of two similar triangles is 2:3, what does this mean?

Back

For every 2 units in triangle ABC, there are 3 units in triangle DEF.

Tags

CCSS.7.G.A.1

Front

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

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

Back

The ratios are equivalent, indicating that the polygons are similar.

Tags

CCSS.HSG.SRT.A.2

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 sides of two similar triangles are in the ratio 1:4, what is the ratio of their areas?

Back

The ratio of their areas is 1:16.