Similar Polygons

Front

What are similar polygons?

Back

Polygons that have the same shape but may have different sizes. Their corresponding angles are equal, and their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does it mean for sides to be proportional in similar figures?

Back

It means that the lengths of corresponding sides of the figures have a constant ratio.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

All corresponding angles 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 figures.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

The ratio of their areas is 3²:5², which is 9:25.

Front

How do you determine if two polygons are similar?

Back

Check if their corresponding angles are equal and their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between the perimeters of similar polygons?

Back

The ratio of the perimeters is the same as the ratio of the corresponding sides.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 and side DE is 9, what is the scale factor from triangle ABC to triangle DEF?

Back

The scale factor is 6:9 or 2:3.

Tags

CCSS.7.G.A.1

Front

Can two figures be similar if they have different shapes?

Back

No, similar figures must have the same shape.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is an example of similar polygons?

Back

Two rectangles with the same shape but different dimensions, such as 2x4 and 4x8.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6