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Scholarship Geometry
Worksheet 6-2
Name:
1. Explain why the figure at the right is NOT a parallelogram.
2. Draw
PQRS. Write the opposite sides and opposite angles.
The handrail is made from congruent parallelograms. In
m<BCD = 110. For #3-8, find each measure.
3. BD =
4. CD =
5. BE =
6. m<ABC =
7. m<ADC =
8. m<DAB =
ABCD, AB = 17.5, DE = 18, and
Cranes can be used to load cargo onto ships. In
JKLM, JL = 165.8, JK = 110,
and m<JML = 50. For #9-14, find the measure of each part of the crane.
9. JN =
10. LM =
11. LN =
12. m<JKL =
13. m<KLM =
14. m<MJK =
In #15-18, JKLM is a parallelogram. Find each measure. Show work.
15. JK
16. LM
(over)
17. m<L
18. m<M
WXYZ is a parallelogram. For #19-22, find each measure. Show work.
19. WV
20. YW
21. XZ
22. ZV
In #23-31, complete each statement about
phrase from a theorem.
23. <MPR __________
justify:
24. <PRK __________
justify:
25. MT __________
justify:
26. PR __________
justify:
27. MP || __________
justify:
28. MK || __________
justify:
29. <MPK __________
justify:
KMPR. Justify your answer with a definition or
30. <MTK __________
justify:
31. m<MKR + m<PRK = __________
justify:
For #32-36, find the value of x, y and z in each parallelogram. Show work on #35-36.
32.
33.
34.
35.
36.