Similar Triangles and Proportions Practice

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

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

ΔQRS∼ΔTUV. Find the value of y.

• 3.6

• 5.5

• 19

• 33

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

• Yes, AA∼

• Not similar

• Yes, SAS∼

• Yes, SSS∼

Find the value of x using proportions.

• a

• b

• c

• d

Find missing side

• 5

• 7

• 9

• 11

Find y.

• 144

• 18

• 72

• 12

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

Find side length X.

• 30

• 25

• 15

• 40

If triangles ADE and ABC shown in the figure above are similar, what is the value of x?

• 4

• 5

• 6

• 8