SOLUTION: It is given that PQRS is a parallelogram. Graph PQRS. Decide whether its a rectangle, a rhombus , a square or none of the above #1) P(-6,5), Q(4,11) R(7,7) S(-3,1) #2)

Question 807738: It is given that PQRS is a parallelogram. Graph PQRS. Decide whether its a rectangle, a rhombus , a square or none of the above
#1) P(-6,5), Q(4,11) R(7,7) S(-3,1)
#2) P(-7,-2), Q(-2,-2), R(-2,-7) S(-7,-7) help asap
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
#1) P(-6,5), Q(4,11) R(7,7) S(-3,1)
This quadrilateral looks like a rectangle, but it is not.
The angles are not .
Perpendicular lines/segments have slopes whose product is .
Slope of PQ =
Slope of QR =
The product of the slopes is ,
so PQ and QR are not perpendicular, and PQRS is neither a square nor a rectangle.
Since obviously PQ is much longer than QR, it is not a rhombus either.

#2) P(-7,-2), Q(-2,-2), R(-2,-7) S(-7,-7)
This one is obviously a square of side length 5. The sides are the same length and perpendicular to each other because they are parallel to the x- and y-axes.
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SOLUTION: It is given that PQRS is a parallelogram. Graph PQRS. Decide whether its a rectangle, a rhombus , a square or none of &#65279;the above #1) P(-6,5), Q(4,11) R(7,7) S(-3,1) #2)

SOLUTION: It is given that PQRS is a parallelogram. Graph PQRS. Decide whether its a rectangle, a rhombus , a square or none of the above #1) P(-6,5), Q(4,11) R(7,7) S(-3,1) #2)