Unit 1 Lesson 6: Midpoint and Distance in the Coordinate Plane

Lesson Overview

Midpoint & Distance in the Coordinate Plane

What You Will Learn

Finding midpoints and distances in a coordinate plane.

Overview

In this lesson, you will learn how to find midpoints and distances in a coordinate plane. You will demonstrate your understanding by finding distances and midpoints when you are given two coordinates.

Essential Understanding

You can use formulas to find the midpoint and length of any segment in the coordinate plane.

Read pages 29 - 42 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 6: Midpoint and Distance in the Coordinate Plane

Additional Resources (Midpoint and Distance in the Coordinate Plane)

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Prepare for Application

Instructions

You have now studied Midpoint and Distance in the Coordinate Plane. 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.

Do these activities in your journal.

Activity 1

What is the midpoint of $\bar{R S}$ with endpoint R(5, -10) and S(3, 6)?

Activity 2

The midpoint of $\bar{A B}$ has coordinates of (4, -9). The endpoint A has coordinates (-3, -5). What are the coordinates of B?

Activity 3

$\bar{S R}$ has endpoint S(-2, 14) and R(3, -1). What is SR to the nearest tenth?
In Problem 3 on page 52 of your textbook, suppose you let V(4, -2) be (x1, y1) and U(-7, 5) be (x2, y2). Do you get the same result? Explain why or why not.

Activity 4

Use the diagram below to answer the following: If you follow the red line, how far do you travel from Platform D to Platform E? Activity 4