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प्रश्न
State with reason whether the following statement is ‘true’ or ‘false’.
Every rhombus is a rectangle.
विकल्प
True
False
उत्तर
This statement is False.
Reason:
Opposite angles of a rhombus are congruent; however, all angles of a rectangle are congruent.
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संबंधित प्रश्न
The following figure is parallelogram. Find the degree values of the unknown x, y, z.
The perimeter of a parallelogram is 150 cm. One of its sides is greater than the other by 25 cm. Find the length of the sides 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
In a parallelogram ABCD, AB = 10 cm, AD = 6 cm. The bisector of ∠A meets DC in E, AEand BC produced meet at F. Find te length CF.
Which of the following statement is true for a rhombus?
It has only two pairs of equal sides.
Which of the following statement is true for a rhombus?
It is a parallelogram.
Show that each diagonal of a rhombus bisects the angle through which it passes.
In a rhombus PQRS if PQ = 7.5 cm then find QR. If ∠QPS = 75° then find the measure of ∠PQR and ∠SRQ.
The given figure shows a rhombus ABCD in which angle BCD = 80°. Find angles x and y.
