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 ratios of their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the criteria for two polygons to be 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

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

Back

The ratios of the lengths of their corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the missing side of similar polygons?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the areas of similar polygons?

Back

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

Front

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

Back

The ratio of their areas is 4:9 (which is 2^2:3^2).

Front

What is the perimeter of a polygon?

Back

The perimeter is the total distance around the polygon, calculated by adding the lengths of all its sides.

Tags

CCSS.3.MD.D.8

Front

If the perimeter of a smaller similar polygon is 20 cm and the scale factor to a larger polygon is 3, what is the perimeter of the larger polygon?

Back

The perimeter of the larger polygon is 60 cm (20 cm x 3).

Front

What does it mean if two polygons are not similar?

Back

It means that either their corresponding angles are not equal or the ratios of their corresponding sides are not proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How can you determine if two triangles are similar using angle measures?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar (AA criterion).

Tags

CCSS.HSG.SRT.A.2