Similarity of Polygons and Triangles and Proportion

Similarity Ratio: _

• 2/3

• 1/2

• 2

• 3

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

• congruent, proportional 

• proportional, congruent 

• congruent, congruent

• proportional, proportional

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• SAS

• AA

• SSS

• not similar

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• SSS

• AA

• SAS

• not similar

Use the information in the diagram to determine the height of the tree.

• 80 feet

• 320 feet

• 40 feet

• 160 feet

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

Are these triangles similar?
Angles in Triangle 1:  40⁰,60⁰, and 80⁰
Angles in Triangle 2:  40⁰,50⁰, and 90⁰

• Yes

• No

• There is not enough information to decide.

Find the value of x:

• 58.3

• 1.7

• 21

• 18

What similarity theorem would prove that these triangles are similar?

• SAS∼

• SSS∼

• AA∼

• Side Splitter

Are the triangles similar?

• Yes

• No