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What quadrilateral can have no right angles and diagonals bisect each other?
Parallelogram and rhombus.
Is it true that diagonals of a parallelogram bisect the opposite angles?
It is true only when the parallelogram is in the form of a rhombus, and thus the two diagonals are perpendicular to each other.
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.
3 things unique about a rectangle?
It is a parallelogram with 4 right angles and it has congruent diagonals that bisect.
What quadrilaterals have diagonals that bisect the angels of the quadrilateral?
Rhombus and square are the only quadrilaterals whose diagonals bisect the angles of the quadrilateral. In both these quadrilaterals, the diagonals intersect at right angles, dividing each angle into two equal parts.
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.
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
Do the diagonals of a parallelogram bisect the angles of the parallelogram?
yes * * * * * No, they do not!
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.
What quadrilateral can have no right angles and diagonals bisect each other?
Parallelogram and rhombus.
Which group of quadrilaterals has diagonals that bisect their opposite angles?
Either a square or rectangle fit this description.
Is it true that diagonals of a parallelogram bisect the opposite angles?
It is true only when the parallelogram is in the form of a rhombus, and thus the two diagonals are perpendicular to each other.
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.
Which quadrilaterals have diagonals that bisects each other?
A quadrilateral whose diagonals bisect each other at right angles is a rhombus. each other at right angles at M. So AB = AD and by the first test above ABCD is a rhombus. 'If the diagonals of a parallelogram are perpendicular, then it is a rhombus
Do the diagonals of a parallelogram bisect each other at a right angle?
Only for a square or rhombus (diamond shape). The diagonals of a rectangle bisect each other, but are not perpendicular and do not bisect the opposite angles they join.
3 things unique about a rectangle?
It is a parallelogram with 4 right angles and it has congruent diagonals that bisect.
What quadrilaterals have diagonals that bisect the angels of the quadrilateral?
Rhombus and square are the only quadrilaterals whose diagonals bisect the angles of the quadrilateral. In both these quadrilaterals, the diagonals intersect at right angles, dividing each angle into two equal parts.
