If you look ate the parallelogram you'll see two kinds of triangles. Two that have longer diagonal and bigger angle, and two sides of parallelogram. Then, you have two triangles that have two sides of parallelogram, shorter diagonal and smaller angle. This triangles obviously have two sides that are the same (sides of parallelogram). If this two triangles had been congruent diagonals would have been congruent too, since these triangles would have been congruent. But this is not true unless angles of parallelogram are the same, therefore diagonals cannot be the same length. Of course, there are parallelograms that have same angles, and those are square and rectangle, which do have the same angles. I hope I made this more clear, and I'm sorry for my bad English.
No. The diagonals of a parallelogram are congruent if and only if the parallelogram is a rectangle.
No not normally only if the parallelogram is in the form of a rectangle will it then have congruent diagonals.
If the diagonals are cong. then the figure is a rectangle.
If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
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.
No, the diagonals of a parallelogram are not normally congruent unless the parallelogram is a rectangle.
No. The diagonals of a parallelogram are congruent if and only if the parallelogram is a rectangle.
The diagonals are not congruent unless the parallelogram happens to be a rectangle.
If a parallelogram is in the form of a rectangle then both diagonals are congruent in lengths.
No not normally only if the parallelogram is in the form of a rectangle will it then have congruent diagonals.
yes. they are not congruent
No. If the diagonals of a parallelogram are congruent then it must be a rectangle (or square).
No, a quadrilateral with congruent diagonals but no right angles is not necessarily a parallelogram. In order for a quadrilateral to be classified as a parallelogram, it must have both pairs of opposite sides parallel. The property of having congruent diagonals does not guarantee that the sides are parallel, so the quadrilateral may not be a parallelogram.
true.
yes
If the diagonals are cong. then the figure is a rectangle.
The diagonals of a parallelogram are congruent (equal in length) and bisect each other.