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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.
What is true of the diagonals of a rectangle that isn't true of the diagonals of a parallelogram?
They are of equal length.
Do all parallelogram have diagonals of equal length?
yes
If the diagonals of a parallelogram are congruent then the parallelogram may or may not be a rectangle. A.True B.False?
True because the diagonals of a rectangle are equal in lengths
True or false the diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram?
False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.
The diagonals of a parallelogram are equal?
No, they are not.
Is diagonals of parallelogram equal?
No
The diagonals of a parallelogram must be what?
The diagonals of a parallelogram are congruent (equal in length) and bisect each other.
Is diagonals of a parallelogram are alwayssometimesnever congruent?
Sometimes as when the parallelogram is in the form of a rectangle then its diagonals are of equal lengths.
If a parallelogram is a rectangle then it's diagonals are what?
Its diagonals are equal in length
What parallelogram has equal sides and no o 90 angle measure?
A 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.
What are names of quadrilaterals which there diagonals do not bisect?
they are called parallelogram in which diagonals are equal
What is true of the diagonals of a rectangle that isn't true of the diagonals of a parallelogram?
They are of equal length.
What characteristics help tell the difference between a rhombus and rectangle?
Rhombus: Adjacent sides are equal. Diagonals intersect at 90°. Measure of all interior angles not specific. Diagonals are not equal. Rectangle: Pair of opposite sides are equal. Measure of angle of intersection of diagonals not specific. Measure of all interior angles is 90°. Diagonals are equal.
Do all parallelogram have diagonals of equal length?
yes
which quadrilaterals have diagonals that are not equal in lenght?
Trapezoid and parallelogram/
