Chapter 5: Ratio, Proportion, and Similar Figures

Give the reason for similarity

• AA

• SAS

• SSS

• Not similar

If the triangles are similar, state why.

• AA

• SAS

• SSS

• Not similar

What is ratio of any two corresponding sides?

• Scale Factor

• Corresponding Sides

• Similar Figures

Find x

• 10.5

• 5

• 8.5

• 6

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.  SAS

• Similar.  AA

• Similar. SSS

• Not Similar

The measures of the angles in a triangle are in the extended ratio of 4:3:2.  What is the measure of the largest angle?

• 20 degrees

• 60 degrees

• 90 degrees

• 80 degrees

Solve for x.

• x = 5

• x = 3

• x = 14

• x = 1

Are the two triangles Similar?  

• Yes, by the SSS postulate

• Yes, by the SAS postulate

• Yes, by the AA postulate

• No, they are NOT similar 

The length of the sides of two similar triangles are in the ratio of 2:3. If the area of the larger triangle is 45 cm², find the area of the smallest triangle.

• 30 cm²

• 15 cm²

• 10 cm²

• 20 cm²