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Find counter examples to disprove the statements: A quadrilateral with all sides are equal in a square.

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Find counter examples to disprove the following statements: Every rectangle is a square.

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Find counter examples to disprove the statements: Two triangle are congruent if all their corresponding angles are equal.

Restate the following statements with appropriate conditioins, so that they become true statements. If a quadrilateral has all its sides equal, then it is a square.

Find counter examples to disprove the following statements: For any integers x and y, sqrt(x^(2) + y^(2)) = x+y

A counter example to the statement "In any right triangle the square of the smallest side equals to sum of the other sides" is

In which of the following all sides are equal?

Restate the following statements with appropriate conditioins, so that they become true statements. i. For every real number x, 3x gt x . ii. For every real number x, x^(2) ge x iii. If you divide a number by two, you will always get half of that number. iv. The angle subtended by a chord of a circle at a point on the circle is 90°. v. If a quadrilateral has all its sides equal, then it is a square.

Statement A : In a rectangle opposite sides are equal and diagonals are equal. Statement B : In a parallelogram opposite sides are equal and diagonals are equal. Statement C : In a rhombus all the sides are equal and diagonals are not equal. Which of the following is true?

If each pair of opposite sides of a quadrilateral is equal, then it is a

VGS PUBLICATION-BRILLIANT-PROOFS IN MATHEMATICS-EXERCISE
  1. Find counter examples to disprove the statements: If n is a whole num...

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  2. Find counter examples to disprove the statements: Two triangle are co...

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  3. Find counter examples to disprove the statements: A quadrilateral wit...

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  4. Prove that the sum of two odd numbers is even.

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  5. Prove that the product of two even numbers is an even numbers.

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  6. Prove that if x is odd, then x^2 is also odd

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  7. Examine why they work ? Choose a number. Double it. Add nine. Add yo...

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  8. Write down any three-digit number (for example, 425). Examine why they...

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  9. Write any two mathematical statements.

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  10. What is a mathematical proof called?

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  11. State any two axioms (postulates).

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  12. Define the following : An axiom

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  13. Define the following : Theorem

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  14. What is a conjecture ? Give an example for it.

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  15. What is meant by 'Inductive reasoning'?

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  16. What is deductive reasoning?

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  17. Find counter examples to disprove the statements: If n is a whole num...

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  18. Restate the following statements with appropriate conditions, so that ...

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  19. Restate the following statements with appropriate conditions, so that ...

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  20. Disprove, by finding a suitable counter example, the statement. x^2 gt...

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