Similarity and Proportional

State the theorem/criteria that proves these triangles are similar.

• AA~

• SAS~

• SSS~

• AAS~

Are the two triangles similar? If so, how?

• Yes, AA

• Yes, SAS

• No

• Yes, SSS

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

• AA

• SSS

• SAS

• Not similar

What is the scale factor from ΔABC to ΔXYZ?

• 1.25

• 1.5

• 2

• 2.5

An NBA basketball court (rectangle) is similar to an elementary school basketball court. The sideline of the NBA court  is 94 feet, and the sideline of the elementary court is 84.6 feet. The NBA court has a perimeter of 288 ft. Find the perimeter of the elementary court.

• 288 feet

• 5802 feet

• 259 feet

• 275 feet

Which theorem(s) can be used to prove triangle similarity?

• SAS

• AA

• AAS

• SSS

• HL

• x = 10, y = 8

• x = 7.5, y = 10

• x = 10, y = 7.5

• x = 8, y = 10

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

• SAS

• AA

• SSS

• not similar

A road sign that is 20 ft tall casts a shadow that is 25ft long. A second road sign casts a shadow that is 15ft long.  What is the height of the second road sign?

• 5 ft

• 10 ft

• 15 ft

• 12 ft

Two squares are similar.  The ratio of the width of square J to the width of square M is 4:5.  If the width of square J is 28 in, what is the perimeter of square M?

• 35 in

• 22.4 in

• 32 in

• 140 in