Unit 3 Lesson 6 Constructing Parallel and Perpendicular Lines

Lesson 6: Constructing Parallel and Perpendicular Lines

Lesson Overview

Perpendicular Postulate

 

What You Will Learn

  • how to construct parallel and perpendicular lines.

Overview

In this lesson, you will learn to construct parallel and perpendicular lines.

Essential Understanding

You can also use a straightedge and a compass to construct parallel and perpendicular lines.

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: Constructing Parallel and Perpendicular Lines

Additional Resources (Constructing Parallel and Perpendicular Lines)

Prepare for Application 

Instructions

You have now studies Constructions of Parallel and Perpendicular Lines. 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 a journal extra called 'Unit 3: Lesson 6 activities' and do these activities in your journal.

 

Activity 1

Use a straightedge to draw EF↔. Construct FG↔ so that FG↔ ⊥ EF↔ at point F.

Activity 2

Draw CX↔ and a point Z not on CX↔. Construct ZB↔ so that ZB↔ ⊥ CX↔

Activity 3

Refer to problem 1 on page 182 of your textbook.

     Why must lines l and m be parallel?

Activity 4

  1. Draw a segment. Label its length m. Construct quadrilateral ABCD with AB↔ ∥ CD↔, so that AB = m and CD = 2m.
  2. Suppose you and a friend both use the steps in problem 2 on page 183 of your textbook to construct ABYZ independently. Will your quadrilaterals necessarily have the same angle measures and side lengths? Explain.