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प्रश्न
State with reason whether the following statement is ‘true’ or ‘false’.
Every rhombus is a rectangle.
पर्याय
True
False
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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 measure of one angle of a parallelogram is 70°. What are the measures of the remaining angles?
Two adjacent sides of a parallelogram are 4 cm and 3 cm respectively. Find its perimeter.
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
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Fill in the blank, in each of the following, so as to make the statement true:
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(iii) ∠ADC.
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