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Negation

Which of the ...

Question

Which of the following statements is the inverse of
"If you do not understand geometry, then you do not know how to reason deductively." ?

If you reason deductively, then you understand geometry.

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If you understand geometry, then you reason deductively.

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If the do not reason deductively, then you understand geometry.

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None of the above

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Solution

The correct option is A If you understand geometry, then you reason deductively.
The inverse of statement is when the meaning of statement does not change.
Inverse of statement :- If you understand geometry, then you reason deductively.
Where the meaning of statement doesn't change.

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Similar questions

Write the contrapositive and converse of the following statements.

(i) If x is a prime number, then x is odd.

(ii) If the two lines are parallel, then they do not intersect in the same plane.

(iii) Something is cold implies that it has low temperature.

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

(v) x is an even number implies that x is divisible by 4.

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x

x

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4

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

(i) If n is an even number, then $n^{2}$ is even.

(ii) If two integers a and b are such that $a > b,$ then $(a - b)$ is always a positive integer.

(iii) If a $Δ A B C$ is right angled at B, then $A B^{2} + B C^{2} = A C^{2} .$

(iv) If $Δ A B C$ and $Δ D E F$ are congruent, then they are equiangular.

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

(vi) Something is cold implies that it has low temperature.

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