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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.
Do diagonals of a parallelogram bisect each other?
No.
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
Do the diagonals of a parrallelogram bisect each other?
Yes, the diagonals of a parallelogram bisect each other.
Does a parallelogram have diagonals bisect each other?
Yes every parallelogram has bisecting diagonals
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.
Do the diagonals of a parallelogram bisect its opposite angles?
Not for every parallelogram. Only for a rhombus (diamond) or square will the diagonals bisect the opposite angles they connect, and diagonals are perpendicular. In rectangles, the diagonals do not bisect the angles and are notperpendicular, but they do bisect each other.
Do diagonals of a parallelogram bisect each other?
No.
The diagonals of a parallelogram must be what?
The diagonals of a parallelogram are congruent (equal in length) and bisect each other.
What is a quadirlateral with diagonals that bisect each other?
A parallelogram.
Does the diagonals of a parallelogram bisect each other?
Yes
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
In parallelogram the diagonals have the same midpoint?
Yes the diagonals of a parallelogram have the same midpoint since they bisect each other.
Are the diagonals of a paralelogram bisectors of each other?
The diagonals of a parallelogram will always bisect each other. ■
A quadrilateral is parallelogram if its diagonals bisect eavh other?
True
