1. Determine whether each pair of triangles is similar
Determine whether each pair of triangles is similar. Justify your answer. If the triangles are similar, write the similarity statement.
Yes, SAS~, ΔPQR ~ ΔSRT

2. For ΔABC, BD is an angle bisector and EF is a perpendicular bisector.
Find AC and if AF = 15x – 45, FC = 4x + 21 and = 130º.
AC = 90, angle ABD = 65 (x = 6)

3. Find x, y and z
x = 15, y = 7, z = 15

4. Of the 240 students eating lunch, 96 purchased their lunch and the rest brought a bag lunch. Find the ratio of students purchasing lunch to students bringing a bag lunch.
2:3

5. Determine whether each pair of triangles is similar
Determine whether each pair of triangles is similar. Justify your answer. If the triangles are similar, write the similarity statement.
Not ~, not enough information

6. D, E and F are midpoints. AB = 24, BC = 16, and AC = 26
D, E and F are midpoints. AB = 24, BC = 16, and AC = 26. Find the perimeter of ΔDEF. 33

7. A 5-foot tall student casts a 4-foot shadow
A 5-foot tall student casts a 4-foot shadow. If the tree next to her casts a 44-foot shadow, what is the height of the tree?
55ft

8. Determine whether each pair of triangles is similar
Determine whether each pair of triangles is similar. Justify your answer. If the triangles are similar, write the similarity statement.
Yes, AA~, ΔVXW ~ ΔYXZ

9. Write the similarity statement and find x.
PRQ~TRS, x = 3

10. If ΔFGH ~ ΔPQR, FG = 6, PQ = 10 and the perimeter of ΔPQR is 35, find the perimeter of ΔFGH.21

11. Determine whether each pair of triangles is similar
Determine whether each pair of triangles is similar. Justify your answer. If the triangles are similar, write the similarity statement.
Not ~, 45/9 = 30/6 ≠ 20/5

12. Find x
x = 15/2 or 7.5

13. Draw the following on a triangle:
Perpendicular Bisector
Altitude
Median
Angle Bisector

14. For ΔABC, BD is an angle bisector and EF is a perpendicular bisector.
Find BC if BC = 3x – 8 and = 11x – 9.
BC = 19 (x = 9)

15. Determine whether each pair of triangles is similar
Determine whether each pair of triangles is similar. Justify your answer. If the triangles are similar, write the similarity statement.
Yes, AA~, ΔJKL ~ ΔNML

16. In ΔABC, . If AD = 12, BD = 3, and CE = 10, find BE.
BE = 5/2 or 2.5

17. If ΔABC ~ ΔLMN, AB = 18, BC = 12, LN = 9, and LM = 6
If ΔABC ~ ΔLMN, AB = 18, BC = 12, LN = 9, and LM = 6. Find the scale factor of ΔABC to ΔLMN.
3:1

18. ΔLMN ~ ΔXYZ with altitudes KL and WX. Find KL.

19. Determine whether each pair of triangles is similar
Determine whether each pair of triangles is similar. Justify your answer. If the triangles are similar, write the similarity statement.
Yes, SSS~, ΔABC ~ ΔZXY

20. Find x
x = 4

21. Find x so that
x = 9/2 or 4.5