Advertisements
Advertisements
Question
Name the quadrilaterals whose diagonals are perpendicular bisectors of each other
Advertisements
Solution
The diagonals of a rhombus and square act as perpendicular bisectors.
APPEARS IN
RELATED QUESTIONS
In the following figure GUNS and RUNS are parallelogram. Find x and y.
If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram.
Diagonals of parallelogram ABCD intersect at O as shown in the following fegure. XY contains O, and X, Y are points on opposite sides of the parallelogram. Give reasons for each of the following:
(i) OB = OD
(ii) ∠OBY = ∠ODX
(iii) ∠BOY = ∠DOX
(iv) ∆BOY ≅ ∆DOX
Now, state if XY is bisected at O.
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
Fill in the blank, inthe following, so as to make the statement true:
A square is a rhombus in which .....
Fill in the blank, inthe following, so as to make the statement true:
A rhombus has all its sides of ...... length.
Show that each diagonal of a rhombus bisects the angle through which it passes.
The given figure shows a rhombus ABCD in which angle BCD = 80°. Find angles x and y.
If the diagonal of a rhombus are equal, then the rhombus is a
If a diagonal of a quadrilateral bisects both the angles, then it is a ______.
