Unit 5 Lesson 4 Medians and Altitudes

Unit 5 Lesson 4: Medians and Altitudes 

Unit 5 Lesson 4: Medians and Altitudes

Lesson Overview

What are Medians in a Triangle?

 

What You Will Learn

What You Will Learn
  • the medians of a triangle are the segments whose endpoints are a vertex of the opposite sides

Overview

Triangle LMON

In this lesson, you will learn the median of a triangle is a segment whose endpoints are a vertex and the midpoint of the opposite side.

Also, You will identify the properties of medians and altitudes of a triangle.

Essential Understanding

A triangle's three medians are always concurrent.

  • Read pages 221-227 in your course textbook.

This course is based on a textbook that is viewable by clicking on the textbook icon. Keep the textbook open while you go through the lesson so that you may refer to it throughout the lesson.

 

Additional Resources

Lesson 4 Medians and Altitudes

Additional Resources (Medians and Altitudes)

Proceed to the Next Page

Prepare for Application 

Instructions

Prepare for Application

You have now studied Medians and Altitudes. It is now time to demonstrate your learning.

Try the activities below on your own. You should be able to answer these before beginning the practice.

 

Create an extra journal called 'Unit 5: Lesson 4 activities' and do these in your journal.

Activity 1

Use the diagram for questions 1-2.

  1. Activity 1ZA = 9. What is the length of ZC¯it?
  2. What is the ratio of ZA to AC? Explain.
Activity 2

DEF has vertices D(1,2), E(1, 6), and F(4, 2).

  1. What are the coordinates of the orthocenter of DEF?
Activity 3

For ABC shown below, decide whether each segment listed below is a median, an altitude, or neither. Explain.

  1. Activity 3AD¯
  2. EG¯