Are They Similar Figures

Triangle ABC is similar to triangle XYZ.  What is the length of line segment BC?

• 5 cm

• 7.5 cm

• 8 cm

• 9 cm

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

Are these triangles similar?

• Yes

• No

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 = 12

• x = 3

• x = 40

• x = 4

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

• x = 1

• x = 3

• x = 9

• x = 5

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

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

• x = 20

• x = 12

• x = 5

• x = 4