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 the lengths of corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does it mean for two polygons to be similar?

Back

It means that their corresponding angles are congruent and the lengths of their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

All corresponding angles are congruent.

Tags

CCSS.HSG.SRT.A.2

Front

If the sides of two similar polygons are in the ratio 2:3, what is the ratio of their perimeters?

Back

The ratio of their perimeters is also 2:3.

Front

How do you find the perimeter of a similar polygon?

Back

To find the perimeter of a similar polygon, multiply the perimeter of the original polygon by the ratio of the corresponding sides.

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 triangles are 4 cm and 6 cm, what is the ratio of their areas?

Back

The ratio of their areas is (4/6)² = 16/36 = 4/9.

Front

What is a corresponding side in similar polygons?

Back

A corresponding side is a side in one polygon that is proportional to a side in another polygon.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 5 cm and side DE is 10 cm, what is the scale factor?

Back

The scale factor is 10/5 = 2.

Tags

CCSS.HSG.SRT.A.2

Front

What does it mean if two polygons are not similar?

Back

It means that their corresponding angles are not equal or their corresponding sides are not in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6