In this lesson, we will learn how to use the distance, slope, and midpoint formulas to determine whether a quadrilateral in the coordinate plane is a parallelogram.
Students will be able to
Q1:
The points πΎ(β5,0), πΏ(β3,β1), π(β2,5), and π(β4,6) are the vertices of quadrilateral πΎπΏππ. Using the slope formula, is the quadrilateral a parallelogram?
Q2:
If π΄π΅πΆπ· is a quadrilateral, π΄=(β2,β17), π΅=(β14,10), πΆ=(1,7), and π·=(13,β20), find the midpoint of π΄πΆ and π΅π·, then determine what type of figure π΄π΅πΆπ· is.
Q3:
Where must the coordinates of point πΆ be so that π΄π΅πΆπ· is a parallelogram? In that case, what is the area of the parallelogram?
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