Geometry Unit 7 Lesson 4 Medians and Altitudes

Question

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!

Answer 1

No name is correct :D

thank you helped with my late work

Answer 2

Thanks! 😎

Answer 3

thank u so much

Answer 4

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

Answer 5

Quick Check

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

Answer 6

Rays is 100% RIGHT THANK YOU!!!

Answer 7

As of 11/14/22 these answers are all 100% correct!!