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Given quadrilateral RSTU, determine if each pair of sides (if any) are parallel and which are perpendicular for the coordinates of the vertices. R(0, 0), S(6, 3), T(5, 5), U(-1, 2)

Respuesta :

nonversxtion
Before we go into this, here's the formula: (y2-y1)/(x2-x1)

Pair 1: RS TU
> Slope of RS = 2/3
> Slope of TU = 2/3
Since both slopes are they same, they are parallel.

Pair 2: RS ST
> Slope of RS = 2/3
> Slope of ST = -3/2
Since the slopes are negative reciprocals of each other, they are perpendicular. 

Same goes for the last pair, which is TU ST.
> Slope of TU = 2/3
> Slope of ST = -3/2
They're negative reciprocals, hence they are perpendicular.

Hope this helps! :)

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