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What shape is a parallelogram with all angles equal to 90 degrees and it's diagonals are perpendicular on each other?
Wiki User
∙ 12y ago
A square.
Wiki User
∙ 12y ago
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Are all angles of a parallelogram equal to 90 degrees?
No, only in a square (regular parallelogram).The opposite angles are EQUAL in a parallelogram, and the adjacent angles are SUPPLEMENTARY(they equal 180 degrees).So if any angle in a parallelogram is a right angle, they all are. Otherwise, there are no right angles.The angles of a parallelogram will average 90 degrees, as there are 360 degrees in any quadrilateral, (360/4 - 90) and 180 degrees in two adjacent non-equal angles (180/2 = 90).
What is true about perpendicular lines?
Perpendicular lines meet(Intersect) at 90 degrees.
Do the opposite angles of a parallelogram add up to 180 degrees?
No.
Is it true or false that in a parallelogram the opposite angles are complementary?
Generally false. In a parallelogram, the opposite angles are equal. They could be complementary in a highly skewed parallelogram in which one angle is 45 degrees.
What is a parallelogram with one interior angle equal to 90?
It is a square, a regular parallelogram with all right angles. The reason is that in a parallelogram, the adjacent angles are supplementary (equal 180 degrees).In any case, the opposite angle would be 90 degrees as well, leaving just 180 degrees for the other two identical opposite angles.
In which parallelogram are the diagonals perpendicular?
It is a rhombus whose diagonals are perpendicular and meeting each other at right angles.
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
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 parallowgram are perpendicular then it is a?
A rhombus is a type of a parallelogram and its diagonals are perpendicular which means that they intersect each other at right angles.
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.
Does a rhombus have perpendicular diagonals?
Yes the perpendicular diagonals intersect at right angles or 90 degrees
Does diagona of a parallelogram are perpendicular?
The diagonals of a parallelogram do not intersect each other at right angles and so therefore they aren't perpendicular to each other.
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.
Does the diagonals of a parallelogram bisect the angles?
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.
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 describes a rhombus?
A rhombus is a parallelogram with all 4 sides congruent. The diagonals bisect(split in have) the interior angles. The diagonals are perpendicular to each other.
Is a squares diagonals perpendicular?
yes. They are. because it is both equilateral and equiangular, the diagonals are at the same angles to the sides (45 degrees) and that angle makes them perpendicular.
