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Question
Name the quadrilaterals whose diagonals are perpendicular bisectors of each other
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Solution
The diagonals of a rhombus and square act as perpendicular bisectors.
RELATED QUESTIONS
Given below is a parallelogram ABCD. Complete each statement along with the definition or property used.
(i) AD =
(ii) ∠DCB =
(iii) OC =
(iv) ∠DAB + ∠CDA =
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 quadrilateral.
Which of the following statement is true for a rhombus?
It can be a square.
The diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? If your answer is 'No', draw a figure to justify your answer.
Identify all the quadrilateral that have Four sides of equal length
State with reason whether the following statement is ‘true’ or ‘false’.
Every rhombus is a rectangle.
ABCD is a rhombus. If ∠BAC = 38°, find :
(i) ∠ACB
(ii) ∠DAC
(iii) ∠ADC.
If all sides of a quadrilateral are equal, it is a ______.
All rhombuses are squares.
