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Question
All rhombuses are parallelograms.
Options
True
False
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Solution
This statement is True.
Explanation:
Yes, because both diagonals bisect each other and opposite sides are equal.
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RELATED QUESTIONS
Can the following figure be parallelogram. Justify your answer.
Two adjacent angles of a parallelogram are as 1 : 2. Find the measures of all the angles of the parallelogram.
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) \[\angle DCE = \frac{1}{2}\angle C\]
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(v) CE || AF
Which of the following statement is true for a rhombus?
Its diagonals bisect each other at right angles.
Which of the following statement is true for a rhombus?
Its diagonals are equal and perpendicular.
Which of the following statement is true for a rhombus?
It can be a square.
ABCD is a rhombus and its diagonals intersect at O.
(i) Is ∆BOC ≅ ∆DOC? State the congruence condition used?
(ii) Also state, if ∠BCO = ∠DCO.
ABCD is a rhombus whose diagonals intersect at O. If AB = 10 cm, diagonal BD = 16 cm, find the length of diagonal AC.
The diagonals of a quadrilateral are of lengths 6 cm and 8 cm. If the diagonals bisect each other at right angles, what is the length of each side of the quadrilateral?
Lengths of diagonals of a rhombus ABCD are 16 cm and 12 cm. Find the side and perimeter of the rhombus.
