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How to prove a quadrilateral is a parallelogram
Prove Diagonals bisect each other at their midpoints. Solve for 2 midpoints.
Midpoint formula

Distance formula

slope formula

How to find a missing coordinate in a parallelogram?
Find midpoint of the existing diagonal, then find the endpoint using the midpoint to get the missing coordinate.
How to write the equations of the lines of both diagonals in y=mx+b?
Find slope, plug into y=mx+b to solve for b, then rewrite the equation. Repeat this for second diagonal.
When determining if a quadrilateral is a parallelogram make sure to…
Say your answer as yes or no
When solving a parallelogram problem always…
Draw the parallelogram to confirm the coordinates and diagonals
The name of the parallelogram is the…
order of the points around the shape
All pairs of consecutive angles are
Supplementary
Both pairs of opposite angles are
Congruent
The diagonals bisect each other at the same
Midpoint
Both pairs of opposite sides are
Congruent and Parallel