Similarity Ratio Triangle

Identify the perimeter and area ratios for the following figures.

• Per. Ratio=8  Area Ratio=64

• Per. Ratio=8/48  Area Ratio=64/2304

• Per. Ratio=8/48  Area Ratio=8/48

• Per. Ratio=8/48  Area Ratio=2304/64

All corresponding angles are congruent in similar figures.

• True

• False

All corresponding sides are proportional (same ratio) in similar figures.

• True

• False

Are the triangles similar? If so, what similarity shortcut is used? Show all work.

• Similar.  SAS

• Similar.  AA

• Similar. SSS

• Not Similar

Are the triangles similar? If so, what similarity shortcut is used?  Show all work.

• Similar.  SAS

• Similar.  AA

• Similar.  SSS

• Not Similar

Find y.

• 27

• 42

• 12

• y cannot be determined.

Which of the following is NOT true about similar figures?

• Similar figures always have the same shape.

• Similar figures always have the same size.

• Similar figures always have corresponding angles that are equal.

• Similar figures always have corresponding sides that are proportional.

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO

• 16

• 4

• Yes; AA~

• No

• Yes; SAS~

• Yes; SSS~