# Mrs. Rivas

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Mrs. Rivas π(ππ + π) = ππ ππ + π = ππ ππ = ππ π = π
(5-1) Algebra Find the value of x. 1. π(ππ + π) = ππ ππ + π = ππ ππ = ππ π = π

Mrs. Rivas π(ππ) = ππ ππ = ππ π = π (5-1) Algebra Find the value of x.
2. π(ππ) = ππ ππ = ππ π = π

Mrs. Rivas (5-1) Algebra Find the value of x. 3. π(ππ) = ππ ππ = ππ π = π.π

Mrs. Rivas π X is the midpoint of π΄π΅ . Y is the midpoint of πΆπ΅ .
4. Find XZ. π

Mrs. Rivas ππ X is the midpoint of π΄π΅ . Y is the midpoint of πΆπ΅ .
5. If XY = 10, find MO. ππ

Mrs. Rivas ππ ππ X is the midpoint of π΄π΅ . Y is the midpoint of πΆπ΅ .
6. If ποπ is 64, find ποπ. ππ ππ

Mrs. Rivas π.π Use the diagram at the right for Exercises 7 and 8.
7. What is the distance across the lake? π.π

Mrs. Rivas π π.π BC is shorter. BC is half od 8 and AB is half od 11.
Use the diagram at the right for Exercises 7 and 8. 8. Is it a shorter distance from A to B or from B to C? Explain. π BC is shorter. BC is half od 8 and AB is half od 11. π.π

Mrs. Rivas ππ + π = ππ β π ο­ππ ο­ππ π = ππ β π + π + π π = ππ π = π
(5-2) Algebra Find the indicated variables and measures. 10. x, EH, EF ππ + π = ππ β π ο­ππ ο­ππ π = ππ β π + π + π π = ππ π = π π¬π―=ππ+π=π π +π=ππ π¬π­=ππβπ=π π βπ=ππ

Mrs. Rivas ππ β π = ππ β ππ ο­ππ ο­ππ β π = π β ππ + ππ + ππ ππ = π
(5-2) Algebra Find the indicated variables and measures. 11. x, mοTPS, mοRPS ππ β π = ππ β ππ ο­ππ ο­ππ β π = π β ππ + ππ + ππ ππ = π πβ π»π·πΊ=ππβπ=π ππ βπ=ππ πβ πΉπ·πΊ=ππβππ=π ππ βππ=ππ

Mrs. Rivas ππ β π = π + ππ ππ β π = ππ ππ = ππ π = π ππ β ππ = ππ + π
(5-2) Algebra Find the indicated variables and measures. 12. a, b ππ β π = π + ππ ππ β π = ππ ππ = ππ π = π ππ β ππ = ππ + π π β ππ = π π =ππ

Mrs. Rivas 1.

Mrs. Rivas 2.

Mrs. Rivas 3.

Mrs. Rivas 4.

Mrs. Rivas 5.

Mrs. Rivas 6.

Mrs. Rivas 7.

Mrs. Rivas π + π = ππ + π 8. βππ + π = π βππ =π π=βπ

Mrs. Rivas π + π = ππ β π 9. βπ + π = β π βπ = βπ π = π

Mrs. Rivas 10. ππ + π = π + π ππ + π = π ππ =π π = π π

Mrs. Rivas πͺπΏ= π π πͺπΎ πͺπΏ= π π (ππ) πΏπΎ=πͺπΎβπͺπΏ πͺπΏ= ππ π πΏπΎ=ππβππ πΏπΎ=π
(5-4) In βABC, X is the centroid. 11. If CW = 15, find CX and XW. πͺπΏ= π π πͺπΎ ππ πͺπΏ= π π (ππ) πΏπΎ=πͺπΎβπͺπΏ πͺπΏ= ππ π πΏπΎ=ππβππ πΏπΎ=π πͺπΏ=ππ

Mrs. Rivas πΏπ= π π π¨π π= π π π¨π π π π= π π π¨π π π π¨πΏ=π¨πβπΏπ π¨πΏ=πβπ π=π¨π
(5-4) In βABC, X is the centroid. 13. If XZ = 3, find AX and AZ. πΏπ= π π π¨π π π π= π π π¨π π π π= π π π¨π π π π¨πΏ=π¨πβπΏπ π¨πΏ=πβπ π=π¨π π¨πΏ=π

Mrs. Rivas Is π¨π© a median, an altitude, or neither? Explain. 15. 14.
Altitude; π¨π© is perpendicular to the opposite side. Median; π¨π© bisects the opposite side.

Mrs. Rivas Is π¨π© a median, an altitude, or neither? Explain. 17. 16.
Altitude; π¨π© is perpendicular to the opposite side. Neither; π¨π© is not perpendicular to nor does it bisect the opposite side.

Mrs. Rivas πͺπ± In Exercises 18β22, name each segment.
18. a median in βABC πͺπ±

Mrs. Rivas π¨π― In Exercises 18β22, name each segment.
19. an altitude for βABC π¨π―

Mrs. Rivas π°π― In Exercises 18β22, name each segment.
20. a median in βAHC π°π―

Mrs. Rivas π¨π― In Exercises 18β22, name each segment.
21. an altitude for βAHB π¨π―

Mrs. Rivas π¨π― In Exercises 18β22, name each segment.
22. an altitude for βAHG. π¨π―

Mrs. Rivas 23. A(0, 0), B(0, ο­2), C(ο­3, 0). Find the orthocenter of βABC.

Mrs. Rivas 24. In which kind of triangle is the centroid at the same point as the orthocenter? equilateral

Mrs. Rivas π΄πππππ π·ππππ ππ πππππππππππ πͺπππππππ π°πππππππ
πͺπππππππππ πππππ πͺπππππππππππ π¨πππππππ πΆππππππππππ π½πππππ