Polygons in the Coordinate Plane

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1Techniques

Examples

Practice Problems

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Distance Formula

Used to determine: Sides are congruent Diagonals are congruent

212

212 )()( yyxxd

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Midpoint Formula

Used to determine: Coordinates of the midpoint of a side Whether diagonals bisect each other

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,2

2121 yyxxM

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Slope Formula

Used to determine: Opposite sides are parallel Diagonals are perpendicular Sides are perpendicular

12

12

xx

yym

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Tips for Solving

Draw a sketch (plot points) This helps define sides

The product of perpendicular slopes is -1 Congruent slopes show sides are parallel

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Example 1

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Example 2