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Determine the values for x and y that will make quadrilateral abcd a parallelogram point e is the intersection of the two diagonals ae equals y ce equals 2.6x de equals y plus 9.1 and be equals 4x?
Wiki User
∙ 14y ago
x = 6.5y = 16.9
Wiki User
∙ 9y ago
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The diagonals of a parallelogram are congruent?
No, the diagonals of a parallelogram are not normally congruent unless the parallelogram is a rectangle.
Does the diagonal of a rectangle bisect each other?
Yes. The diagonals of any parallelogram bisect each other. A rectangle is a special case of a parallelogram.
Show that if diagonals of a quadrilateral bisects each other then it is a rhombus?
This cannot be proven, because it is not generally true. If the diagonals of a quadrilateral bisect each other, then it is a parallelogram. And conversely, the diagonals of any parallelogram bisect each other. However not every parallelogram is a rhombus.However, if the diagonals are perpendicular bisectors, then we have a rhombus.Consider quadrilateral ABCD, with diagonals intersecting at X, whereAC and BD are perpendicular;AX=XC;BX=XD.Then angles AXB, BXC, CXD, DXA are all right angles and are congruent.By the ASA theorem, triangles AXB, BXC, CXD and DXA are all congruent.This means that AB=BC=CD=DA.Since the sides of the quadrilateral ABCD are congruent, it is a rhombus.
In parallelogram the diagonals have the same midpoint?
Yes the diagonals of a parallelogram have the same midpoint since they bisect each other.
If the diagonals of a parallelogram are congruent the parallelogram may or may not be a rectangle?
False
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).
If the diagonals of a quadrilateral each other then the quadrilateral is a parallelogram?
True
Is the intersection of the diagonals of a quadrilateral equidistant from the the sides?
No.
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.
If the diagonals of a quadrilateral bisect each other then the quadrilateral is a parallelogram.?
True
If the diagonals of a quadrilateral bisect each other then what quadrilateral must be a parallelogram?
diagonals.
A quadrilateral with diagonals and no right angles?
A parallelogram is one of them.
What quadrilateral has rotational symmetry and diagonals are perpendicular?
A parallelogram
If the diagonals of a quadrilateral bisect each other then the quadrilateral must be a parallelogram?
true
If the diagonals of a quadrilateral ... each other then the quadrilateral is a parallelogram?
The missing word is "bisect".
If both diagonals of a quadrilateral bisect each other when is the quadrilateral a parallelogram?
always
Is this statement true or falseProving that the diagonals of a quadrilateral are perpendicular will show that a quadrilateral is a parallelogram?
false
