Proofs in Mathematics Q2 — Class 10 Maths Solution

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Maths Proofs in Mathematics Hard

Write the converses of the following statements. Also, decide in each case whether the converse is true or false.

(i)If triangle $A B C$ is isosceles, then its base angles are equal.
(ii)If an integer is odd, then its square is an odd integer.
(iii)If $x^{2} = 1$ , then $x = 1$ .
(iv)If $A B C D$ is a parallelogram, then $A C$ and $B D$ bisect each other.
(v)If $a, b$ and $c$ are whole numbers, then $a + (b + c) = (a + b) + c$ .
(vi)If $x$ and $y$ are two odd numbers, then $x + y$ is an even number.
(vii)If vertices of a parallelogram lie on a circle, then it is a rectangle.

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