Unit 1 Lesson 5 Basic Constructions
Unit 1 Lesson 5: Basic Constructions
Lesson Overview
What is Congruence?
What You Will Learn
- Understanding congruent angles and figures.
- Use of terminology and prior understanding to construct angles and figures.
Additional Resources
Overview
Essential Understanding
You can use special geometric tools to make a figure congruent to an original figure without measuring. This method is more accurate than sketching and drawing. It would help if you did not do any measuring for this lesson. A straightedge is a ruler with no markings on it. A compass is a geometric tool used to draw circles and parts of circles called arcs. A construction is a geometric figure drawn using a straightedge and a compass. The links below are virtual construction tools. If you do not have a straightedge and compass, use the following links to do constructions online.
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.
Lesson 5 Basic Constructions
Additional Resources (Geometry Constructions)
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Prepare for Application
Instructions
You have now studied Basic Constructions. 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.
Use a straightedge to draw . Then construct so that RS = 2XY.
Use the following diagram for question 1.
- Construct so that .
- How is constructing a congruent angle similar to constructing a congruent segment?
Activity 3
Draw . Construct its perpendicular bisector.
Activity 4
Draw obtuse . Draw its bisector .