Question: Lines, Angles, and Mathematical Proofs:Tutorial Congruent and Supplementary Angles Activity You will use GeoGebra to empirically derive a theorem based on congruent and supplementary angles.Go

Lines, Angles, and Mathematical Proofs:Tutorial

Congruent and Supplementary Angles

Activity

You will use GeoGebra to empirically derive a theorem based on congruent and supplementary angles.Go tocongruent and supplementary angles.

(Copy and paste in browser) http://contentstore.ple.platoweb.com/content/GeoGebra.v5.0/A2.4_Congruent_and_Supplementary_Angles.html

Complete each step below.

Question 1

Study the measurements of BAC,CAD, and DAB, and list them below.If you move a point by mistake, press Ctrl + Z to revert back to the original setup.

Question 2

What is the relationship between BAC,CAD, and DAB?Express your answer in geometric terms.

Question 3

Now select pointCand move it around.Do you observe any change in the relationship between the three angles?

Question 4

Move pointCso that BACand CADform a pair of supplementary angles, or angles whose sum is 180.Record each of the angle measurements for this case.

Question 5

In general, what can you conclude about a pair of angles that are both congruent and supplementary?

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