6.7 - Polygons in the Coordinate Plane

6.7 - Polygons in the Coordinate Plane

By Steve Dull

Objective

To classify polygons in the coordinate plane

Open Ended

In the bellringer, how were you able to tell which of the three was not a parallelogram?

But is there a way to know for sure?

Recall the definition and properties of a parallelogram:

• Opposite sides are parallel

• Opposite sides are congruent

• Opposite angles are congruent

• ​Consecutive angles are supplementary

• Diagonals bisect each other​

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And also:

• Congruent segments have the same length

• Parallel segments have the same slope​

You'll need these formulas

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Let's practice one together

Open Ended

Given the vertices, determine the quadrilateral's most specific classification. $$A\ \left(9,\ -4\right),\ B\ \left(8,\ -2\right),\ C\ \left(2,\ -5\right),\ D\ \left(3,\ -7\right)$$