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6-7 Polygons in the Coordinate Plane
-this is an exercise of your ability to use the properties learned from parallelograms, trapezoids, and kites coupled with your knowledge about slopes, coordinates, midpoints and distances in the coordinate plane to make a valid argument about a polygon’s identity. It may seem needless to use the slope formula at times, but I will always use the slope formula to check parallelism so that we practice it, in addition knowing the slopes of all 4 sides allows us to check perpendicularity.
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These are critical formulas you must know to complete these exercises.
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Determine if the shape is a parallelogram, if so then is it a rhombus, rectangle, square, or none
P(-1,2), O(0,0), S(4,0), T(3,2) 8
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Determine if the shape is a parallelogram, if so then is it a rhombus, rectangle, square, or none
L(1,2), M(3,3), N(5,2), P(3,1) 9
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Determine if the shape is a parallelogram, if so then is it a rhombus, rectangle, square, or none
W(-3,0), I(0,3), N(3,0), D(0,-3) 12
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Determine if the shape is a parallelogram, if so then is it a rhombus, rectangle, square, or none
R(-2,-2), S(4,0), T(3,2), V(-3,-1) 10
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Determine if the shape is a parallelogram, if so then is it a rhombus, rectangle, square, or none
S(1,3), P(4,4), A(3,1), T(0,0) 13
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