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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
Does the diagonals of a parallelogram bisect the angles?
No, the diagonals of a parallelogram do not necessarily bisect the angles. The diagonals of a parallelogram divide it into four congruent triangles, but they do not necessarily bisect the angles of those triangles.
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 the diagonals of a parallelogram meet at right angles?
no
Does a parallelogram have diagonals that cross at right angles?
No.
What shape has diagonals bisect each other but are different lengths the diagonals do not meet at right angles and the angles are not right angles?
Kite* * * * *No. On two counts:Only one of the diagonals is bisected.They meet at right angles.The correct answer is a parallelogram.
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
Can a quadrilateral be a parallelogram is the diagonals are congruent but the quadrilateral has no right angles?
No. If the diagonals of a parallelogram are congruent then it must be a rectangle (or square).
What shape has the diagonals bisecting each other but different lengths but do not meet at right angles?
A parallelogram.
A quadrilateral with diagonals and no right angles?
A parallelogram is one of them.
What is a quadrilateral with the diagonals intersecting at the right angles?
Any kite or square.
Do the diagonals of a parallelogram bisect the angles of the parallelogram?
yes * * * * * No, they do not!
Name the best classification for a parallelogram with perpendicular diagonals?
The best classification for a parallelogram that has perpendicular diagonals is a rhombus. A rhombus has four sides that are congruent. The also diagonals bisect the vertex angles of this type of parallelogram.
