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List aU pairs of congruent angles and write the statement of pro ortionality for the figures.

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~. { 8. Find the length of NO. NU ~ 4 5 u

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I ;£ The two polygons are simil;j. Find the values of x and y. x-=- \3.'S 16I 12. 2i x0:J ~\L 13. 12

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13. Multiple Choice In the diagram at the right, find the length ofBC.

A. 28 B. 65" 0C. 3 0 27

In Exercises 14-17. use the diagram at the right.

17. Is l:::.AED:: !:J.EAB?

22. Multiple Choice Triangles ABC and DEF are right triangles that are similar. AB and BC are the legs of the first triangle. DE and EF are the legs of the second

23.

triangle. Which ofthe following is false?

A.LAsLD ~ In Exercises 23-25. use the following information.

Flag Pole In order to estimate the height h ofa flag pole, a 5 foot tall male student stands so that the tip ofhis shadow coincides with the tip ofthe flag pole's shadow. lIDs scenario results in two similar triangles as shown in the diagram.

Why are the two overlapping triangles similar?

sing the similar triangles, write a proportion that models the situation.

What is the height h (in feet) ofthe flag pole?

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e side lengths of l::.ABC are 8,10 and 14. 10. In l::.ABC, AB = 15, BC = 24 and mLB = 38°.

The side lengths of l::.DEFare 16,20 and 26. In l::.DEF,DE = 5,EF = 8 and mLE = 38°.

Sketch the triangles using the given description. Explain whether the two triangles can be similar.

>. In Exercises 11-14, use the diagram at the rightt=

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'" § In exercises 15 and 16, use the following Information, :=; «i Pine Tree In order to estimate the height h of a tall ~ pine tree, a student places a mirror on the ground and ~ stands where she can see the top ofthe tree, as shown. ~ The student is 6 feet tall and stands 3 feet from the @>:.:: mirror which is 11 feet from the base of the tree. \) _+-­j ~ What is the height h (in feet) of the pine tree? ~a~

16. Another student also wants to. see the top ofthe tree. The other student is 5.5 feet tall. If the 5S~':

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mirror is to remain 3 feet from the student's feet, ~f

how far from the base of the tree should ~ ~*. ",,0 mirror be placed? \ "d-. ~_

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