Maths-
General
Easy
Question
ABCD is a parallelogram and ' 0 ' is the point of intersection of its diagonals AC and BD. If the area of sq.cm , what is the area of the
Hint:
we know that in a parallelogram the diagonals bisect each other.
Prove congruence of triangles .Areas of congruent triangles are equal.
The correct answer is: 8 sq.cm
Ans :- 8 sq.cm
Explanation :-
We know Area of = 8 sq.cm
In parallelogram ABCD , diagonals meet at O
As we know diagonals bisect each other
AO = OC ; BO = OD
And also (vertically opposite angles are equal)
By SAS ( side-angle -side) congruence
AOD ≅ COB
If triangle are congruent then areas of the triangles are equal so
Area of = Area of
∴Area of = 8 sq. cm
Related Questions to study
Maths-
A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm, and the diameter of the graphite is 1 mm. If the length of the pencil is 14 cm, Find the volume of the wood and that of the graphite?
A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm, and the diameter of the graphite is 1 mm. If the length of the pencil is 14 cm, Find the volume of the wood and that of the graphite?
Maths-General
Maths-
The load capacity of a certain washing machine is 12 pounds. What is the approximate load capacity of the same washing machine, in kilograms?
( 1 kilogram = 2.2046 pounds)
Note:
There are many other units of weight such as ton, ounce, gram, stone, grain, milligram, etc. There is conversion formula for each of these pairs, for eg.
1 kilogram = 35.27 ounce= 0.16 stone= 1000 gram
1 pound= 16 ounce= 0.07 stone= 435.60 gram
The load capacity of a certain washing machine is 12 pounds. What is the approximate load capacity of the same washing machine, in kilograms?
( 1 kilogram = 2.2046 pounds)
Maths-General
Note:
There are many other units of weight such as ton, ounce, gram, stone, grain, milligram, etc. There is conversion formula for each of these pairs, for eg.
1 kilogram = 35.27 ounce= 0.16 stone= 1000 gram
1 pound= 16 ounce= 0.07 stone= 435.60 gram
Maths-
The Capacity of a closed cylindrical vessel of height 1m is 15.4 litres. How many square metres of metal sheet would be needed to make it?
The Capacity of a closed cylindrical vessel of height 1m is 15.4 litres. How many square metres of metal sheet would be needed to make it?
Maths-General
Maths-
The area of a trapezium is 24 sq.cm The distance between its parallel sides is 4 cm. If one of the parallel sides is 7 cm, what is the measure of the other parallel side?
The area of a trapezium is 24 sq.cm The distance between its parallel sides is 4 cm. If one of the parallel sides is 7 cm, what is the measure of the other parallel side?
Maths-General
Maths-
Babu left one-third of his property to his son, one-fourth to his daughter and the remainder to his wife. If his wife's share is Rs 1,80,000, what was the value of his property?
Babu left one-third of his property to his son, one-fourth to his daughter and the remainder to his wife. If his wife's share is Rs 1,80,000, what was the value of his property?
Maths-General
Maths-
Ram's mother is four times as old as Ram now. After sixteen years, she will be twice as old as Ram. Find their present ages.
Ram's mother is four times as old as Ram now. After sixteen years, she will be twice as old as Ram. Find their present ages.
Maths-General
Maths-
Tanay obtained 98 marks in a mathematics test. His score is the highest in the class and it is also 8 more than three times the lowest score. Create the equation and calculate the lowest score.
Tanay obtained 98 marks in a mathematics test. His score is the highest in the class and it is also 8 more than three times the lowest score. Create the equation and calculate the lowest score.
Maths-General
Maths-
Find three consecutive odd numbers whose sum is 159.
Find three consecutive odd numbers whose sum is 159.
Maths-General
Maths-
Solve 3x - 2y = 6 and
Solve 3x - 2y = 6 and
Maths-General
Maths-
Solve the following by substitution method 2x - 3y = 7 and x + 6y = 11.
Solve the following by substitution method 2x - 3y = 7 and x + 6y = 11.
Maths-General
Maths-
Solve the following by using elimination method: 2x + y = 6 , 3y = 8 + 4x
Solve the following by using elimination method: 2x + y = 6 , 3y = 8 + 4x
Maths-General
Maths-
Solve 2a – 3/b = 12 and 5a – 7/b = 1
Solve 2a – 3/b = 12 and 5a – 7/b = 1
Maths-General
Maths-
Solve the following equations by using the elimination method: x - y = 1 , 3x - y = 9
Solve the following equations by using the elimination method: x - y = 1 , 3x - y = 9
Maths-General
Maths-
Solve the following system of linear equations: 2x - 4y = 6 , x - 3y = 12
Solve the following system of linear equations: 2x - 4y = 6 , x - 3y = 12
Maths-General
Maths-
Solve: x - 2y = 8 , 4x + 2y = 7 by using elimination method.
Solve: x - 2y = 8 , 4x + 2y = 7 by using elimination method.
Maths-General