Triangle Similarity Practice Problems

Solve for b.

• a

• b

• c

• d

Tags

CCSS.7.RP.A.2B

There are 84 boys in a freshman class of 146 students. Find the ratio of boys to girls.

• 42:73

• 31:42

• 42:31

• 73:42

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Triangles ABC and DEF are similar and measurements as shown. What is the measure of EF?

• 21/2

• 15/2

• 9/2

• 3/2

Tags

CCSS.HSG.SRT.A.2

Identify the similar triangles. Find x.

Tags

CCSS.HSG.SRT.A.2

Triangles ABC and EFG are similar with measurements as shown. What is the ratio of AC/EG?

• 1/2

• 5/7

• 7/10

• 7/9

Tags

CCSS.HSG.SRT.A.2

The ratio of the perimeter of ▲U to the perimeter of ▲V is 1:2. If the triangles are similar, what is the value of x + y?

• 3

• 6

• 12

• 18

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

ΔQRS∼ΔTUV. Find the value of y.

• 3.6

• 5.5

• 19

• 33

Tags

CCSS.HSG.SRT.A.2

A basket holding 35 pieces of fruit has apples and oranges in the ratio of 2:5. Find the number of apples and oranges in the basket.

• 10 apples & 25 oranges

• 25 apples & 10 oranges

• 2 apples & 5 oranges

• 20 apples & 50 oranges

Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3

The lengths of the sides of a triangle are 6, 18, and 22. If the length of the longest side of a similar triangle is 33, find the length of the shortest side.

• 9

• 12

• 15

• 6

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Determine whether each pair of triangles is similar. Justify your answer.

• Yes, AA∼

• Not similar

• Yes, SAS∼

• Yes, SSS∼

Tags

CCSS.HSG.SRT.B.5