If the statement "If two triangles are congru | vedclass

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(D) Let $p$ be the statement "Two triangles are congruent" and $q$ be the statement "Their areas are equal". The given statement is $p \rightarrow q$.

Vedclass · Accepted Answer

If areas of two triangles are equal,then they are congruent.

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(D) Let $p$ be the statement "Two triangles are congruent" and $q$ be the statement "Their areas are equal". The given statement is $p \rightarrow q$.The inverse of $p \rightarrow q$ is $\sim p \rightarrow \sim q$,which is: "If two triangles are not congruent,then their areas are not equal."The contrapositive of the inverse $(\sim p \rightarrow \sim q)$ is $\sim(\sim q) \rightarrow \sim(\sim p)$,which simplifies to $q \rightarrow p$. This is: "If the areas of two triangles are equal,then they are congruent."

If the statement "If two triangles are congruent,then their areas are equal" is given,then what are the contrapositive and the inverse of the given statement?

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If the statement "If two triangles are congruent,then their areas are equal" is given,then what are the contrapositive and the inverse of the given statement?

Similar Questions

Write the converse of the following statement:If a number $n$ is even,then $n^{2}$ is even.

Which of the following sentences are statements? Give reasons for your answer.The square of a number is an even number.

Rewrite the following statement using "if-then" in five different ways conveying the same meaning:"If a natural number is odd,then its square is also odd."

Check the validity of the statement given below by the method specified against it.$q:$ If $n$ is a real number with $n > 3$,then $n^{2} > 9$ (by contradiction method).

By giving a counterexample,show that the following statement is not true.$p:$ If all the angles of a triangle are equal,then the triangle is an obtuse-angled triangle.