# 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?

Answer - The centroid

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

Answer - (4,0)

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

Answer - (6,4)

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?

Answer - 1:2

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

Answer - Obtuse

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?

Answer - 6

2. What is the best description of AB

Answer - Altitude

3. What is the best description of P?

Answer - Orthocenter

4. Which is an altitude of XYZ

Answer - AZ

5. Which is a median of XYZ

Answer - BX

100% Hope this helps!

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thank you helped with my late work

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## Practice

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

## Quick Check

1. A

2. A

3. D

4. A

5. B