Proportions and Reasoning

Solve for x and y.

• x=11.43, y=42.78

• x=11.43, y=192.5

• x=14, y=48

• x=10, y=11.43

A telephone booth that is 8ft tall casts a shadow that is 4ft long. Find the height of a lawn gnome that casts a 2ft shadow.

• 2 ft

• 4 ft

• 6 ft

• 8 ft

The triangles are similar. Solve for x.

• 4

• 5

• 6

• 7

Solve for x.

• 8

• 6

• 5

• -8

One property of similar triangles is that corresponding angles of two similar triangles are congruent. What is the second property of similar triangles?

• Corresponding sides are congruent

• Corresponding sides are unrelated

• Corresponding sides are equal

• Corresponding sides are equally proportional

What side corresponds with DE?

• CA

• AB

• EC

• BA

What side corresponds with BC?

• FD

• ED

• EC

• CB

What is the value of X?

• 92

• 2.04

• 2.15

• 2.5

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.

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