Chapter 6.3 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 the lengths of one pair of corresponding sides are 4 and 8, what is the scale factor?

Back

The scale factor is 1:2.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If the scale factor of two similar polygons is 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 9:25 (the square of the scale factor).

Tags

CCSS.7.G.A.1

Front

Solve for x: If two similar triangles have sides 6 and x, and the corresponding sides are in the ratio 2:3, what is x?

Back

x = 9.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the angles of similar polygons?

Back

The corresponding angles of similar polygons are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If triangle ABC is similar to triangle DEF, and angle A = 30°, what is angle D?

Back

Angle D = 30°.

Tags

CCSS.HSG.SRT.A.2

Front

Find the missing side: If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, and BC = x, what is x if EF = 16?

Back

x = 8.

Tags

CCSS.HSG.SRT.A.2

Front

If two similar polygons have a scale factor of 1:4, and the area of the smaller polygon is 25 square units, what is the area of the larger polygon?

Back

The area of the larger polygon is 100 square units.