Are Figures Similar?

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

• 4

• 5

• 6

• 8

Triangle PQR is similar to triangle XYZ.  What is the PERIMETER of triangle XYZ?

• 21 cm

• 63 cm

• 105 cm

• 126 cm

Triangle HIJ is similar to triangle STR.  What is the perimeter of triangle STR?

• 32

• 37

• 40

• 42

Complete each proportion.
CB / DM  =  AC / ?

• BM

• MA

• BC

• AD

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

The pair of figures is similar. Find the missing side.

• x = 10

• x = 4

• x = 2

• x = 5

Using a proportion, find the height of the tree.

• x = 0.0625 ft.

• 16 ft

• x = 16 ft.

• 10 ft
• 5 ft
• 8 ft
• 15 ft

Are these triangles similar?

• Yes

• No