We will spend some time in class - and you will spend some time outside of class - learning about quadrilateral congruence. We studied triangle congruence. How much did you need to know about two triangles to know that they were the same size and shape. Only three pieces of information were necessary if they were the right three pieces: ASA, SAS, SSS. There are more trios but we do not have enough theorems to prove them yet. We do have enough skill to determine which things we need to know about two quadrilateral to prove they have the same size and shape.
Your job is to work through the list of possible combinations of sides and angles for quadrilateral congruence. Prove the ones that can be proved. Provide counterexamples for the ones that cannot be proved. Write it all up neatly. Number the pages. I will grade it.
10/19 Discuss the problem and begin exploring
10/20 Discuss strategies for proving and disproving
10/21 Practice finding counterexamples
10/26 Write-up is due
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