Lesson 3: Parallel and Perpendicular Lines

Math 10C Module 6: Lesson 3

Module 6: Linear Equations

Connect

Lesson Assessment

Complete the lesson quiz posted under the Quizzes link to the left in moodle or under the Assess tab and ensure your work in your binder (course folder) is complete.

Project Connection NOT ASSIGNED

In this project you will analyze a picture. Go to the Unit 4 Project and complete the Module 6: Lesson 3 component of the project.

This shows an image of a human face composed of many line segments.

Going Beyond

Tangrams are Chinese puzzles that consist of seven pieces cut from a square. These shapes can be arranged to create different designs, some of which are shown in the diagram. Amongst the shapes in a tangram set are right triangles, a square, and a parallelogram.

This illustration shows 12 patterns that can be created using the tangram puzzle pieces.

This image shows 12 tangram shapes. As a fun activity, you may use the “Tangram Template” to recreate as many of these shapes as possible.

Work with a partner to complete the following activity.

Perform an Internet search to determine the formal definition of the following terms.
1. right triangle
2. parallelogram
A quadrilateral (four-sided shape) is drawn on a coordinate plane. The corners are located at A(−4, 6), B(2, 5), C(0, −3), and D(6, −2).
1. Plot the corner points and sketch the quadrilateral.
2. Together with your partner, discuss how you could determine whether this shape represents a parallelogram based on its formal definition and also on the concepts learned in this lesson.
3. Use your strategy to determine whether the quadrilateral is a parallelogram or not.
A triangle has corner points at P(3, 10), Q(−6, 8), and R(6, −6).
1. Plot the corner points and sketch the triangle.
2. Together with your partner, discuss how you could determine whether this shape represents a right triangle based on its formal definition and also on the concepts learned in this lesson.
3. Use your strategy to determine whether the triangle is a right triangle or not.

Save your work in this Going Beyond section to your course folder.

As a fun activity, download a copy of the “Tangram Template.” Cut out the seven shapes. Try to create as many of the twelve tangram designs as you can. Then create one of your own. Name and draw this shape; then challenge a friend to recreate it.