Polygons in the Coordinate Plane
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Polygons in the Coordinate Plane 3 2 1 Techniques Examples Practice Problems
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Polygons in the Coordinate Plane. 1. Techniques. 2. Examples. 3. Practice Problems. Distance Formula. Used to determine: Sides are congruent Diagonals are congruent. Midpoint Formula. Used to determine: Coordinates of the midpoint of a side Whether diagonals bisect each other. - PowerPoint PPT Presentation
Transcript of Polygons in the Coordinate Plane
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