Advertisements
Advertisements
Question
State with reason whether the following statement is ‘true’ or ‘false’.
Every parallelogram is a rhombus.
Options
True
False
Advertisements
Solution
This statement is False.
Reason:
All the sides of a rhombus are congruent, while the opposite sides of a parallelogram are congruent.
APPEARS IN
RELATED QUESTIONS
Can the following figure be parallelogram. Justify your answer.

In the following figure GUNS and RUNS are parallelogram. Find x and y.

Two adjacent sides of a parallelogram are 4 cm and 3 cm respectively. Find its perimeter.
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
Which of the following statement is true for a rhombus?
Its diagonals are equal and perpendicular.
Fill in the blank, inthe following, so as to make the statement true:
A rhombus has all its sides of ...... length.
ABCD is a rhombus. If ∠ACB = 40°, find ∠ADB.
Construct a rhombus whose diagonals are of length 10 cm and 6 cm.
Draw a rhombus, having each side of length 3.5 cm and one of the angles as 40°.
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.
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?
Identify all the quadrilateral that have Four sides of equal length
State with reason whether the following statement is ‘true’ or ‘false’.
Every rhombus is a rectangle.
Lengths of diagonals of a rhombus ABCD are 16 cm and 12 cm. Find the side and perimeter of the rhombus.
ABCD is a rhombus. If ∠BCA = 35°. find ∠ADC.
The lengths of the diagonals of a Rhombus are 12 cm and 16 cm. Find the side of the rhombus
If a diagonal of a quadrilateral bisects both the angles, then it is a ______.
Construct a rhombus whose side is 5 cm and one angle is of 60°.
Construct a rhombus CLUE in which CL = 7.5 cm and LE = 6 cm.
