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Earn +20 ptsQ: If a parallelogram is a rhombus then its diagonals are?
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A parallelogram must be a rhombus if the?
diagonals are perpendicular
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
Are the diagonals of a parallelogram perpendicular?
Not necessarily. Only if it is a rhombus.
Can rhombuses be parallelogram?
if the diagonals of parallelogram become Perpendicular then the figure is said to be rhombus......
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.
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