Similar Polygons

Similar Polygons

Similarity Statement

Statement saying that two polygons are similar. Name each polygon using corresponding vertices.

Multiple Choice

Complete the similarity statement.

• SRQ

• RQS

• QRS

• SQR

Multiple Choice

Complete the Similarity Statement

• LMN

• LNM

• NLM

• NML

Multiple Choice

Complete the similarity statement.

• FBA

• FAB

• ABF

• AFB

Similarity Ratio

Also known as "Scale Factor"

Ratio describing the difference in size between the two similar polygons.

When polygons are similar, all sets of corresponding sides have the same ratio.

Ratios

There are three different ways to write a ratio.

Reduced Ratios

Always write the similarity ratio (scale factor) as a reduced ratio.

Multiple Choice

What is the scale factor between the two triangles from larger triangle to smaller triangle?

• 3:2

• 3:4

• 4:3

• 2:3

Multiple Choice

Write the scale factor of the two triangles from smaller triangle to larger triangle.

• 5:7

• 7:3

• 3:11

• 11:5

Multiple Choice

Write the similarity ratio from smaller triangle to larger triangle.

• 5:13

• 7:11

• 3:8

• 4:9

Determining if two polygons are similar

• All corresponding angles have to be equal

• All sets of corresponding sides must have the same similarity ratio

Multiple Choice

Are the polygons similar?

• yes, the similarity ratio is 2:1

• no, not all corresponding sides are similar

• no, not all corresponding angles are congruent

• yes, the similarity ratio is 5:14

Multiple Choice

Are the triangles similar?

• no, all corresponding sides are not proportional

• yes, the similarity ratio is 5:3

Multiple Choice

Are the polygons similar?

• no, corresponding angles are not congruent

• yes, corresponding sides have the same similarity ratio

Multiple Choice

Are the triangles similar?

• yes, the similarity ratio is 4:7

• no, corresponding angles are not congruent

• no, corresponding sides are not proportional

Using the similarity ratio to find missing side lengths.

Multiple Choice

The polygons are similar. Find the missing side length.

• 3.96

• 5.42

• 1.35

• 6.74

Multiple Choice

The polygons are similar. Find the missing side length.

• 4.8

• 3.6

• 7.2

• 5.4

Multiple Choice

The polygons are simlar. Find the missing side length.

• 3.75

• 4.25

• 3.25

• 4.5

Multiple Choice

The polygons are similar. Find the missing side length.

• 10

• 12

• 14

• 16