Write the converse and contrapositive of each of the following stateme

1.	Write the converse and contrapositive of each of the following statements: (i) If n is an even number, then n2 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 ΔABC is right angled at B, then AB2+BC2=AC2. (iv) If ΔABC and ΔDEF 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.
Answer» 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.

Write the converse and contrapositive of each of the following statements: (i) If n is an even number, then n2 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 ΔABC is right angled at B, then AB2+BC2=AC2. (iv) If ΔABC and ΔDEF 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.

Answer»

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.