HIJK is a parallelogram because the midpoint of both diagonals is
(1 , 0), which means the diagonals bisect each other
Step-by-step explanation:
If (x , y) is the mid-point of a segment whose end points are and
then,
In a parallelogram, its diagonals intersect each other at their mid-points
that means its diagonals bisect each other
∵ HIJK is a quadrilateral
∵ HJ and IK are its diagonals
∵ H = (-2 , 2)
∵ J = (4 , -2)
- Find the mid point of HJ
∵
∴
∴
∴ The mid-point of HJ is (1 , 0)
∵ I = (4 , 3)
∵ K = (-2 , -3)
- Find the mid point of IK
∵
∴
∴
∴ The mid-point of IK is (1 , 0)
∵ The mid-points of HJ and IK are equal
∴ HJ and IK bisects each other
∴ HIJK is a parallelogram because its diagonals bisect each other
HIJK is a parallelogram because the midpoint of both diagonals is
(1 , 0), which means the diagonals bisect each other
Learn more:
You can learn more about parallelogram in brainly.com/question/6779145
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