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A parallelogram must be a rhombus if the?
diagonals are perpendicular
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 rhombuses be parallelogram?
if the diagonals of parallelogram become Perpendicular then the figure is said to be rhombus......
Are the diagonals of a parallelogram perpendicular?
Not necessarily. Only if it is 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 the diagonals of a rhombus if it is a parallelogram?
They become the diagonals of a parallelogram.
What parallelogram does not have diagonals that are perpendicular?
rhombus
Which parallelogram has perpendicular diagonals?
A rhombus
Can the diagonals of a parallelogram be perpendicular?
Yes, if the parallelogram is a rhombus or a square.
Are the diagonals congruent if a rhombus is a parallelogram?
No not normally only if the parallelogram is in the form of a rectangle will it then have congruent diagonals.
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.
If the diagonals of a parallelogram are congruent then the parallelogram is a rhombus?
This statement is incorrect. If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle, not necessarily a rhombus. A rhombus has diagonals that bisect each other at right angles and are not equal in length. Therefore, while both rectangles and rhombuses are types of parallelograms, congruent diagonals specifically indicate a rectangle.
A parallelogram must be a rhombus if the?
diagonals are perpendicular
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
Is the diagonals of a rhombus always congruent?
Yes because a rhombus is like a parallelogram
Are the diagonals of a parallelogram perpendicular?
Not necessarily. Only if it is a rhombus.
Can rhombuses be parallelogram?
if the diagonals of parallelogram become Perpendicular then the figure is said to be rhombus......
