Similar Triangles and Perimeter

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

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

• Similar.  SSS

• Similar.  SAS

• Similar.  AA

• Not Similar.

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

• True

• False

Why are the triangles similar?

• AA~

• SAS~

• SSS~

• AAS~

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

• Similar.  SAS

• Similar.  AA

• Similar.  SSS

• Not Similar

The triangles are similar and the perimeter of SRT = 15. What is the scale factor between the two?

• ⅘

• ⅚

• ½

• ¾

The triangles are similar and the perimeter of SRT = 15. What is the perimeter of WZX??

• 12

• 12.5

• 13

• 15

Which of the following are correct? (Mark all the apply)

• ∠C ≌∠Y

• ∠F ≌ ∠W

• CH ∼ YW

• HF ∼ SY

• ∠ W ≌ ∠H

Are these two triangles similar? Why or why not?

• Yes, they are both triangles

• Yes, they both have right angles

• No, they only have one congruent angle

• No, they look different

Are these two similar? What is the scale factor?

• Yes, ¾

• Yes, ⅗

• Yes, ⅘

• No they are not similar