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This classroom task gives students the opportunity to prove a surprising fact about quadrilaterals: that if we join the midpoints of an arbitrary quadrilateral to form a new quadrilateral, then the new quadrilateral is a parallelogram, even if the original quadrilateral was not.
Please comment below with questions, feedback, suggestions, or descriptions of your experience using this resource with students.
School mapped out on a grid that applies length and slope.
Real world application of coordinate geometry.
This lesson unit is intended to help you assess how well students understand the relationship between the slopes of parallel and perpendicular lines and in particular, to help identify students who find it difficult to:
Find, from their equations, lines that are parallel and perpendicular.
Identify and use intercepts.
It also aims to encourage discussion on some common misconceptions about equations of lines.
In this task, you are given four points on a graph, and must prove that they are the corners of a square.