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Earn +20 ptsQ: What is a parallelogram with diagonals of different length intersecting at right angles?
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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
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.
How many perpendicular lines do a rhombus have?
None but its diagonals are perpendicular lines intersecting each other at right angles.
How many intersecting lines does a rhombus have?
The 2 diagonals of a rhombus intersect each other at right angles which is 90 degrees.
What shape has two pairs of equal sides. But no right angles Its diagonals do not cross at 90 degrees?
A parallelogram
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