8.1 Similar Polygons

8.1 Similar Polygons

By Mary Lett

​Objective and Standards

• Students will be able to use similarity statements, identify corresponding lengths of similar polygons, find perimeters and areas of similar polygons, and decide whether polygons are similar.

• HSG-SRT.A.2 and HSG-MG.A.3

Multiple Choice

$$\Delta LMN\sim\Delta QRS$$   What is the scale factor?

• 2

• 3

• 12

• 13

Multiple Choice

$$\Delta LMN\sim\Delta QRS$$   Which statement is NOT true?

• $$\angle L\cong\angle Q$$  

• $$\angle M\cong\angle R$$  

• $$\angle N\cong\angle Q$$  

• $$\angle S\cong\angle N$$  

Multiple Choice

ΔLMN∼ΔQRS Which statement is NOT true?

• $$\frac{LM}{QR}=\frac{MN}{RS}$$

• $$\frac{NL}{SQ}=\frac{ML}{QS}$$

• $$\frac{MN}{RS}=\frac{LN}{QS}$$

• All statements are true.

Multiple Choice

$$ABCD\sim EFGH$$   What is the scale factor?

• $$\frac{2}{5}$$  

• $$\frac{5}{2}$$  

• $$\frac{3}{4}$$  

• $$\frac{4}{3}$$  

Multiple Choice

The polygons are similar. Find x.

• 15

• 6.4

• 10

• 22.5

Multiple Choice

$$\Delta ABC\sim\Delta XYZ$$   Find CD.

• 9

• 18

• 12

• 36

Multiple Choice

Find the ratio (red to blue) of the perimeter.

• 11/6
• 6/11
• 121/36
• 36/121

Multiple Choice

Find the ratio (red to blue) of the area.

• 11/6
• 6/11
• 121/36
• 36/121

Multiple Choice

What is the perimeter of the smaller hexagon?

• 5 cm

• 1/6 cm

• 6 cm

• not enough info

Multiple Choice

• 25 m²

• 1.25 m²

• 20 m²