Similar Triangles Shared Vertex

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?

• 10

• 12

• 15

• 18

Solve for X

• 7.5

• 4.8

• 13.33

• 5

Solve for x.

• 3

• 6

• 8

• 9

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

• congruent, proportional 

• proportional, congruent 

• congruent, congruent

• proportional, proportional

Are these figures similar?

• yes

• no

What is the measure of x?

• 12

• 15

• 6

• 9

Tell whether the triangles are similar. Explain.

• Yes because it looks like it

• Yes because 81 + 48 + 51 = 180

• No because 81 + 48 + 51 =/= 180

• Def not

Tell whether the triangles are similar. Explain.

• Yes because it looks like it

• Yes because 36 + 72 + 33 = 180

• No because 36 + 72 + 33 =/= 180

• Def not

Tell whether the triangles are similar. Explain.

• Yes because why not

• No because x = 107

• Yes because the triangles have at least two congruent angles.

• Nah

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.

• No, the corresponding angles are not equal.

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