Advertisements
Advertisements
प्रश्न
Diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? Give a figure to justify your answer.
Advertisements
उत्तर
It is not necessary that a quadrilateral having perpendicular diagonals is a rhombus.
E.g. Consider a trapezium ABCD in which AB || CD.
APPEARS IN
संबंधित प्रश्न
Two adjacent angles of a parallelogram are as 1 : 2. Find the measures of all the angles of the parallelogram.
ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D.
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
Draw a rhombus, having each side of length 3.5 cm and one of the angles as 40°.
One side of a rhombus is of length 4 cm and the length of an altitude is 3.2 cm. Draw the rhombus.
Draw a rhombus ABCD, if AB = 6 cm and AC = 5 cm.
The given figure shows a rhombus ABCD in which angle BCD = 80°. Find angles x and y.
In a rhombus diagonals intersect at ______ angles.
A Rangoli has been drawn on a flor of a house. ABCD and PQRS both are in the shape of a rhombus. Find the radius of semicircle drawn on each side of rhombus ABCD.
