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Module 5

1. Module 5

1.8. Page 3

Mathematics 10-3 Module 5 Lesson 2

 

 

Explore

 

In this activity you will construct congruent angles through paper folding.

 

Try This

 

If possible, work with a partner. You will each need a blank sheet of paper and a straightedge or ruler.

 

Step 1: On the top half of a blank sheet of paper, draw an acute ∠ABC.

 

This illustration is a page of paper with an acute angle drawn on it. The acute angle is labelled ABC and opens to the right.

 

Step 2: Fold the sheet of paper to construct a second ∠DEF congruent to ∠ABC.

 

TT 6. Write out the steps you used to form ∠DEF.

 

TT 7. Use your protractor to measure ∠DEF and ∠ABC to check if they are congruent. Record their measures.

 

Share

 

Once you have completed the activities in Explore, share the strategy you used to produce the congruent angle DEF. Also share the proof to show that you were successful. Compare your strategy with others. Are there similarities in your approaches or differences? Summarize your strategy and include changes you might make based on viewing other students’ strategies.

 

Save a copy of this summary in your course folder.