coordinate geometry proofs day 1 2017.notebook
March 07, 2017
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Objective: How do we prove using coordinate geometry that a quadrilateral is a parallelogram? How do we prove a quadrilateral is a rhombus?
Do Now:
What are the formulas for :
distance
midpoint
slope 1
coordinate geometry proofs day 1 2017.notebook
March 07, 2017
Coordinate geometry proofs
1) Write the plan
2) Write the formula(s) you need
3) show work
4)WRITE A CONCLUSION!
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coordinate geometry proofs day 1 2017.notebook
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2) Given: A(­2,2) , B (6,5) C(4,0) and D(­4,­3)
Prove ABCD is a parallelogram
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coordinate geometry proofs day 1 2017.notebook
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Proving Quadrilatrals are Parallelograms
Plan 1: show the opposite
Plan 2: show the opposite sides
sides are congruent by doing the distance are parallel, by doing slope 4x
formula 4x on the sides
on the opposite sides
Plan 4: Plan 3:
Show the diagonals bisect
each other, by doing midpoint 2x
on the diagonals M
SHow 1 pair of opposite sides is both congruent and parallel
slope and distance 2x on the
same two opposite sides
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