Coordinate Geometry of Quadrilaterals

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Author: Leif Park Jordan

Description:

Review how to determine whether or not lines and line segments in the coordinate plane are parallel or perpendicular by computing and comparing the slopes.
Present how to use slope, midpoint and distance formula to determine from the coordinates of the vertices whether a quadrilateral is a parallelogram, rectangle, square, rhombus, trapezoid, or isosceles trapezoid.
Provide examples that allow practice using coordinate geometry to classify quadrilaterals in a coordinate plane.

This packet should help a learner seeking to understand how to determine from the coordinates of the vertices whether a quadrilateral is a parallelogram, rectangle, square, rhombus, trapezoid, or isosceles trapezoid.

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Tutorial

Using Slope to Determine if Lines are Parallel

This video reviews how to determine whether or not lines are parallel by computing and comparing slopes.

Source: Kevin Kriescher on Guaranteach

Using Slope to Determine if Lines are Perpendicular

This video reviews how to determine whether or not lines are perpendicular by computing and comparing the slopes.

Source: Kevin Kriescher on Guaranteach

Identifying Quadrilaterals Using Coordinate Geometry

This video presents how to use slope, midpoint and distance formula to determine from the coordinates of the vertices whether a quadrilateral is a parallelogram, rectangle, square, rhombus, trapezoid, or isosceles trapezoid.