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Earn +20 ptsQ: Do the diagonals of a parallelogram bisect each other at a right angle?
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Do diagonals of a parallelogram bisect each other?
No.
Prove that if the diagonal of a parallelogram does not bisect the angles through the vertices to which the diagonal is drawn the parallelogram is not a rhombus?
Suppose that the parallelogram is a rhombus (a parallelogram with equal sides). If we draw the diagonals, isosceles triangles are formed (where the median is also an angle bisector and perpendicular to the base). Since the diagonals of a parallelogram bisect each other, and the diagonals don't bisect the vertex angles where they are drawn, then the parallelogram is not a rhombus.
Are diagonals of a parallelogram perpendicular?
Only if the parallelogram is in the form of a rhombus will its diagonals bisect each other at right angles
What shapes have diagonals that bisect each other?
A quadrilateral is a parallelogram if and only if its diagonals bisect each other (this should be in any geometry book)
Do diagonals bisect at a Right angle in a rectangle?
No but the diagonals of a square bisect each other at right angles
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