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5 ways to construct a parallelogram with compass

5 ways to construct a parallelogram with compass
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Greetings from Alaska,

These five classical constructions will illustrate the five ways to determine that a quadrilateral is a parallelogram. Students will need a compass and straightedge.

This activity pairs with section 8.3 of McDougal Littel geometry: Proving Parallelograms. I have used this as an in class activity as well as a take-home assignment.


1] Construct a parallelogram by constructing opposite sides parallel.
https://youtu.be/ynRl9KIEa8w

2] Construct a parallelogram by constructing opposite sides congruent
https://youtu.be/cqWRkDO4Rj4

3] Construct a parallelogram by constructing opposite angles congruent
https://youtu.be/Jem7Zf_ElMs

4] Construct a parallelogram by constructing one pair of opposite sides that are both parallel and congruent
https://youtu.be/jcfGkZRi638

5] Construct a parallelogram by constructing diagonals that bisect each other
https://youtu.be/vFr9t717A5U
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Teaching Duration
50 minutes
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