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प्रश्न
State, 'true' or 'false'
Every parallelogram is a rhombus.
विकल्प
True
False
उत्तर
False
This is false since a parallelogram, in general, does not have all its sides equal. Only the opposite sides of a parallelogram are equal. However, a rhombus has all its sides equal. So, every parallelogram cannot be a rhombus, except those parallelograms that have all equal sides.
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संबंधित प्रश्न
State, 'true' or 'false'
Each diagonal of a rhombus bisects it.
State, 'true' or 'false'
If two adjacent sides of a parallelogram are equal, it is a rhombus.
In the given figure area of ∥ gm PQRS is 30 cm2. Find the height of ∥ gm PQFE if PQ = 6 cm.
In the given figure, ST ∥ PR. Prove that: area of quadrilateral PQRS = area of ΔPQT.
In the figure, ABCD is a parallelogram and APD is an equilateral triangle of side 80cm, Calculate the area of parallelogram ABCD.
In the figure, PQR is a straight line. SQ is parallel to Tp. Prove that the quadrilateral PQST is equal in area to the ΔPSR.
In the given figure, if AB ∥ DC ∥ FG and AE is a straight line. Also, AD ∥ FC. Prove that: area of ∥ gm ABCD = area of ∥ gm BFGE.
AD is a median of a ΔABC.P is any point on AD. Show that the area of ΔABP is equal to the area of ΔACP.
Find the area of each of the following figure:
The side of a square exceeds the side of another square by 4cm and the sum of the areas of the squares is 400cm2. Find the dimensions of the squares.
The length and breadth of a rectangular field are in the ratio 8 : 5. A 2m wide path runs all around outside the field. The area of the path is 848m2. Find the length and breadth of the field.
A footpath of uniform width runs all around the inside of a rectangular garden of 40 m x 30 m. If the path occupies 136 m2, find the width of the path.
In quadrilateral ABCD, ∠A + ∠D = 180º. What special name can be given to this quadrilateral?
The diagonals of a square are perpendicular to one another.
The opposite sides of a trapezium are parallel.
Give reasons for the following :
A square can be thought of as a special rhombus.
A figure is said to be regular if its sides are equal in length and angles are equal in measure. Can you identify the regular quadrilateral?
Examine whether the following is a polygon. If it is not, say why?
Examine whether the following is a polygon. If it is not, say why?
