# Geometry Unit 7 Lesson 4 Medians and Altitudes

This has two parts. The first part is the practice, the second is the quick check.

Practice - 9 Questions
1. Which of the following will always pass through a vertex of a triangle?
Answers - Altitude, an angle bisector, and a median

2. Which of the following are always perpendicular to a side of a triangle?
Answers - an altitude and a perpendicular bisector of a side

3. Which of the following go through the midpoint of the side of a triangle?
Answers - A perpendicular bisector of a side and a median

4. Which of the following is the point of concurrency of the medians of a triangle?

5. Find the coordinates of the orthocenter of ABC with vertices A(0,0), B(4,0), and C(4,2)

6. Find the coordinates of the orthocenter of ABC with vertices A(2,6), B(8,6), and C(6,2)

7. A centroid separates a median into two segments. Which of the following is the ratio of the length of the shorter segment to the length of the longer segment?

8. Which type of triangle has the orthocenter on the exterior of the triangle?

9. Part A - In TUV, Y is the centroid.If YW=9, find TY and TW
Answer - TY= 18, TW= 27
Part B - In TUV, Y is the centroid. If VX= 9, find VY and YX.
Answer - VY= 6, YX= 3

Quick Check - 5 Questions
1. Z is the centroid of ABC. If AZ= 12, what is ZY?

2. What is the best description of AB

3. What is the best description of P?

4. Which is an altitude of XYZ

5. Which is a median of XYZ

100% Hope this helps!

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## No name is correct :D

thank you helped with my late work

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1. A, D, E
2. A, B
3. B, E
4. D
5. A
6. C
7. A
8. B
9 Part A. C
9 Part B. A

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1. A
2. A
3. D
4. A
5. B

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