Similar Polygons

Front

What does it mean 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 proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the scale factor in similar polygons?

Back

The scale factor is 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 from triangle A to triangle B is 3/4, what does this imply about their side lengths?

Back

It implies that each side length of triangle A is 3/4 the length of the corresponding side length of triangle B.

Tags

CCSS.8.G.A.3

Front

How can you determine if two polygons are similar?

Back

To determine if two polygons are similar, check if their corresponding angles are equal and if the ratios of their corresponding sides are equal.

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 the areas of two similar polygons is equal to the square of the ratio of their corresponding side lengths.

Front

If two triangles have a scale factor of 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

What does it mean for corresponding sides to be proportional?

Back

Corresponding sides are proportional if the ratios of their lengths are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Can two polygons be similar if their corresponding sides are not proportional?

Back

No, two polygons cannot be similar if their corresponding sides are not proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the significance of corresponding angles in similar polygons?

Back

Corresponding angles in similar polygons are equal, which is a key criterion for determining similarity.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding angles?

Back

The corresponding angles of triangle ABC and triangle DEF are equal.

Tags

CCSS.HSG.SRT.A.2