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Write down the converse of following statements: If two triangles are similar, then the ratio of their corresponding sides are equal.

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प्रश्न

Write down the converse of following statements:

If two triangles are similar, then the ratio of their corresponding sides are equal.

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उत्तर

If the ratio of corresponding sides of two triangles are equal, then triangles are similar

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अध्याय 14: Mathematical Reasoning - Exercise [पृष्ठ २६४]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 14 Mathematical Reasoning
Exercise | Q 10.(ix) | पृष्ठ २६४

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संबंधित प्रश्न

Write the contrapositive and converse of the following statements.

Something is cold implies that it has low temperature.


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You cannot comprehend geometry if you do not know how to reason deductively.


Write the contrapositive and converse of the following statements.

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Write each of the following statement in the form “if-then”.

A quadrilateral is a parallelogram if its diagonals bisect each other.


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To get A+ in the class, it is necessary that you do the exercises of the book.


Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other.

(a) If you live in Delhi, then you have winter clothes.

(i) If you do not have winter clothes, then you do not live in Delhi.

(ii) If you have winter clothes, then you live in Delhi.

(b) If a quadrilateral is a parallelogram, then its diagonals bisect each other.

(i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram.

(ii) If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.


State the converse and contrapositive of each of the following statements:

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Re write each of the following statements in the form “p if and only if q”.

p: If you watch television, then your mind is free and if your mind is free, then you watch television.


Re write each of the following statements in the form “p if and only if q”.

q: For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.


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r: If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.


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 A positive integer is prime only if it has no divisors other than 1 and itself.


Rewrite of the  statement in the form "p if and only if q".

 p : If you watch television, then your mind is free and if your mind is free, then you watch television.


Rewrite of the  statement in the form "p if and only if q".

 q : If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.


Rewrite of the  statement in the form "p if and only if q".

r : For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.


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If she works, she will earn money.


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If it snows, then they do not drive the car.


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 If he has courage he will win.


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p: For any real numbers x, y if x = y, then 2x + a = 2y + a when a ∈ Z.


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If x = y and y = 3, then x = 3.


Write down the contrapositive of the following statements:

If n is a natural number, then n is an integer.


Write down the contrapositive of the following statements:

If all three sides of a triangle are equal, then the triangle is equilateral.


Write down the contrapositive of the following statements:

If natural number n is divisible by 6, then n is divisible by 2 and 3.


Write down the contrapositive of the following statements:

If it snows, then the weather will be cold.


Write down the converse of following statements:

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Write down the converse of following statements:

If all three angles of a triangle are equal, then the triangle is equilateral.


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Write the statement in the form “if p, then q”.

p: It is necessary to have a password to log on to the server.


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