Similarity, Proportions, Congruence Slides

Determine whether the triangles are similar.

• SSS~

• AA~

• SAS~

• not similar

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

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.

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.

• 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