Unit 3 Lesson 6 Constructing Parallel and Perpendicular Lines

 Unit 3 Lesson 6: Constructing Parallel and Perpendicular Lines

Introduction to Unit 3 Lesson 6: Constructing Parallel and Perpendicular Lines

Interactive Materials

Lesson 3-6 Const Parallel and Perpendicular Lines

 

 Unit 3 Lesson 6: Constructing Parallel and Perpendicular Lines

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 link in the Red Box. Keep the textbook open while you go through the lesson so that you may refer to it throughout the lesson.

Lesson Vocabulary

  • Perpendicular Postulate

 Lesson 3-6: Prepare for Practice

Lesson 3-6: Prepare for Practice

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

Refer to problem 1 on page 182 of your textbook. Why must lines l and m be parallel?

Activity 2

  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.

Activity 3

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

Activity 4

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