Homework Mrs. Rivas
Name the triangle sides that are parallel to the given side.
1. 2.
3. 4.
5. 6.
ππ πΏπ
ππΏ π¨πͺ
π©πͺ π¨π©
Homework Mrs. Rivas
Points M, N, and P are the midpoints of the sides of βQRS. QR = 30, RS = 30, and SQ = 18.
7. Find MN 8. Find MQ
9. Find MP 10. Find PS
11. Find PN 12. Find RN
π ππ
ππ π
ππ ππ
Homework Mrs. Rivas
Algebra Find the value of x.
13.π+π=π(π π)π+π=π π
π=π ππ=π
Homework Mrs. Rivas
Algebra Find the value of x.
14.π (π π )=πππβππ
π π=πππ βππβπ π=βπππ=π .π
Homework Mrs. Rivas
Algebra Find the value of x.
15.π π+ππ=π(π π)π π+ππ=π π
ππ=π πππ=π
Homework Mrs. Rivas
Use the diagram at the right for Exercises 16 and 17.
16. Which segment is shorter for kayaking across the lake, or ? Explain.
is shorter because is half of 5 mi, while is half of 6 mi.
Homework Mrs. Rivas
Use the diagram at the right for Exercises 16 and 17.
17. Which distance is shorter, kayaking from to to , or walking from to to ? Explain.
Neither; the distance is the same because β and β .
Homework Mrs. Rivas
Use the figure at the right for Exercises 18β21.
18. What is the relationship between and ?
is the perpendicular bisector of
Homework Mrs. Rivas
Use the figure at the right for Exercises 18β21.
19. What is the value of x?
π π+ππ=ππππ=π πππ=π
Homework Mrs. Rivas
Use the figure at the right for Exercises 18β21.
20. Find LM. ππ=ππ³π΅=π π+πππ³π΅=π(ππ)+ππ
π³π΅=ππ+πππ³π΅=ππ
Homework Mrs. Rivas
Use the figure at the right for Exercises 18β21.
21. Find LO. ππ=ππ³πΆ=π ππ³πΆ=π(ππ)
π³πΆ=ππ
Homework Mrs. Rivas
Use the figure at the right for Exercises 22β26.
22. According to the figure, how far is A from ? From ?
From A to
From A to
Homework Mrs. Rivas
Use the figure at the right for Exercises 22β26.
23. How is related to DCB? Explain.
bisects ; Converse of Angle Bisector. Theorem.
Homework Mrs. Rivas
Use the figure at the right for Exercises 22β26.
24. Find the value of x.
π π=π πβππβπ=βπππ=ππ
Homework Mrs. Rivas
Use the figure at the right for Exercises 22β26.
25. Find mACD and mACB.
ππ¨πͺπ«=π ππ=ππ
ππ¨πͺπ«=π(ππ)
ππ¨πͺπ«=ππ
ππ¨πͺπ©=ππ βππ
ππ¨πͺπ©=π (ππ )βππ
ππ¨πͺπ©=ππ
Homework Mrs. Rivas
Use the figure at the right for Exercises 22β26.
26. Find mDAC and mBAC.
ππ+ππ+ππ«π¨πͺ=πππππ«π¨πͺ=ππ
ππ+ππ+ππ©π¨πͺ=πππππ©π¨πͺ=ππ
Homework Mrs. Rivas
Algebra Find the indicated values of the variables and measures.
27. m, LO, NO
ππ=π+ππ=π
π³πΆ=π+ππ³πΆ=π+ππ³πΆ=ππ
π΅πΆ=πππ΅πΆ=π (π)π΅πΆ=ππ
Homework Mrs. Rivas
Algebra Find the indicated values of the variables and measures.
28. ,
π π=π πβππβπ π=βπππ=ππ
ππΈπ»πΊ=π π+π πβππππΈπ»πΊ=π(ππ)+π (ππ)βππππΈπ»πΊ=ππ+ππβππππΈπ»πΊ=ππ
Homework Mrs. Rivas
Algebra Find the indicated values of the variables and measures.
29. p, IJ, KJππ+π=ππ+ππ+π=π
π=π
π°π±=ππ+ππ°π±=π(π)+π
π°π±=ππ+ππ°π±=ππ
π²π±=ππ+ππ²π±=π(π)+π
π²π±=π+ππ²π±=ππ
Homework Mrs. Rivas
30. Writing Determine whether A must be on the bisector of LMN. Explain.
a. b.
Yes; , so is a bisector of .
Yes; is equidistant from both rays of the angle, so lies on the bisector.
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