Similar Polygons

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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How do you determine if two polygons are similar?

Back

Two polygons are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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 two polygons are similar and one side of the first polygon is 10 cm and the corresponding side of the second polygon is 20 cm, what is the scale factor?

Back

The scale factor is 1/2.

Tags

CCSS.7.G.A.1

Front

If the scale factor between two similar polygons is 3/5, what does this mean?

Back

It means that for every 5 units in the second polygon, there are 3 units in the first polygon.

Tags

CCSS.7.G.A.1

Front

Find the missing side length if one polygon has a side of 15 cm and the corresponding side in a similar polygon is 10 cm. What is the missing side length if the corresponding side is x?

Back

x = 10 cm.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

The ratio of their areas is the square of the scale factor.

Front

If the scale factor of two similar polygons is 1/2, what is the ratio of their areas?

Back

The ratio of their areas is (1/2)² = 1/4.

Tags

CCSS.7.G.A.1

Front

If two polygons are not similar, what can be said about their corresponding angles and sides?

Back

Their corresponding angles are not equal, and the lengths of their corresponding sides are not in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the formula to find the missing side length in similar polygons?

Back

(Side length of polygon A) / (Side length of polygon B) = (Corresponding side length of polygon A) / (Missing side length of polygon B).

Tags

CCSS.HSG.SRT.A.2