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प्रश्न
If a diagonal of a quadrilateral bisects both the angles, then it is a ______.
पर्याय
kite
parallelogram
rhombus
rectangle
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उत्तर
If a diagonal of a quadrilateral bisects both the angles, then it is a rhombus.
Explanation:
A parallelogram is a quadrilateral whose diagonal bisects both angles. It is also true for rhombus and rectangle but in a rhombus all the sides are also equal and in a rectangle all the angles are also equal.
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संबंधित प्रश्न
The following figure is parallelogram. Find the degree values of the unknown x, y, z.
In the following figure GUNS and RUNS are parallelogram. Find x and y.
In a parallelogram ABCD, ∠D = 135°, determine the measure of ∠A and ∠B.
In the following Figure ABCD is a arallelogram, CE bisects ∠C and AF bisects ∠A. In each of the following, if the statement is true, give a reason for the same:
(i) ∠A = ∠C
(ii) \[\angle FAB = \frac{1}{2}\angle A\]
(iii) \[\angle DCE = \frac{1}{2}\angle C\]
(iv) \[\angle CEB = \angle FAB\]
(v) CE || AF
Which of the following statement is true for a rhombus?
It is a parallelogram.
Which of the following statement is true for a rhombus?
It is a square.
The diagonals of a parallelogram are not perpendicular. Is it a rhombus? Why or why not?
Which of the following statement is true for a rectangle?
Its diagonals are equal and bisect each other.
If all sides of a quadrilateral are equal, it is a ______.
All rhombuses are squares.
