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Question
The diagonals of a parallelogram are not perpendicular. Is it a rhombus? Why or why not?
Solution
No, it is not a rhombus. This is because diagonals of a rhombus must be perpendicular.
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RELATED QUESTIONS
The following figure is parallelogram. Find the degree values of the unknown x, y, z.
Diagonals of parallelogram ABCD intersect at O as shown in the following fegure. XY contains O, and X, Y are points on opposite sides of the parallelogram. Give reasons for each of the following:
(i) OB = OD
(ii) ∠OBY = ∠ODX
(iii) ∠BOY = ∠DOX
(iv) ∆BOY ≅ ∆DOX
Now, state if XY is bisected at O.
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