Similarity Statements and Scale Factors

Multiple Choice

Fill in the similarity statement: NLM $$\sim$$  ___

• GEF

• EFG

• GFE

• FEG

Multiple Choice

Fill in the similarity statement: DCBA $$\sim$$  

• HEFG

• HGFE

• FEHG

• FGHE

​The arrow indicates that the image on the right is the new image. The scale factor is represented as a ratio of new side / old side for each corresponding side. A scale factor greater than 1 means the image will expand, while a scale factor less than 1 will cause the image to increase.

Multiple Choice

Find the scale factor of the figures.

• 4/3 or 1.33

• 2/3 or .67

• 7/5 or 1.4

• 8/9 or .89

Multiple Choice

Find the scale factor. Hint: Pay attention to the similarity statement. Your image may be flipped.

• 1/3 or 1:3

• 4:3 or 4/3

• 2/3 or 2:3

• 1/2 or 1:2

Multiple Choice

Which angle will be congruent to Angle S?

• D

• E

• F

• G

Multiple Choice

Are the polygons similar?

• Yes, the similarity ratio is 1:2 and all angles are $$\cong$$  

• No, the angles are not congruent

• No, the sides are not proportional

• No, the sides need to be congruent

Multiple Choice

Are the two triangles similar?

• No - all corresponding sides are not proportional

• Yes - the similarity ratio is 5:3

• Yes - the similarity ratio is 2:3

• Yes - the similarity ratio is 3:1

Multiple Choice

Are the polygons similar?

• Yes; their sides are proportional

• No; corresponding angles are not congruent

Multiple Choice

Are the triangles similar?

• Yes; the similarity ratio is 7:4

• No; corresponding angles are not congruent

• No; corresponding sides are not proportional

Open Ended

How do you feel about similar polygons? Difficult, getting the hang of them, piece of cake, etc.