Linear Pair and Supplementary Angles

This activity will help you meet these educational goals:

• Mathematical PracticesYou will reason abstractly and quantitatively and use appropriate tools strategically.
• InquiryYou will perform an investigation in which you will make observations and analyze results.
• 21st Century SkillsYou will assess and validate information.

Directions

Read the instructions for this self-checked activity.Type in your response to each question, and check your answers.

Activity

You will use the GeoGebra geometry tool to explore the relationship between a linear pair and supplementary angles.Go tolinear pairs and supplementary angles, http://contentstore.ple.platoweb.com/content/GeoGebra.v5.0/A2.4_Linear_Pairs_&_Supplementary_Angles.html

copy and paste into browser

and complete each step below.

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Question 1

ADBand BDCrepresent a linear pair because pointsA,D, andClie on a straight line.Calculate the sum of mADBand mBDC.Then move pointBaround and see how the angles change.What happens to the sum of mADBand mBDCas you move pointBaround?

Question 2

What can you say about ADBand BDCbased on the sum of their angles?How are the angles related?

Question 3

Based on your observations, what is the relationship between a linear pair and supplementary angles?