Question

If P(1, 2), Q(4, 6), R(5, 7) and S(a, b) are consecutive vertices of a parallelogram PQRS,

then a + b is​

Answer 1

Step-by-step explanation:

PQRS is a parralellogram if and only if the mid point of the diagonals PR is same as that of the midpoint Q,S. That is if, and only if

$1 + 5 \div 2 = 4 + a \div 2 \\ and \: 2 + 7 \div 2 = 6 + b \div 2$

=> a = 2 and b= 3

a+b = 2+3 = 5

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Answer 2

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1+5÷2=4+a÷2

2+7÷2=6+b÷2

a = 2 and b= 3

a+b = 2+3 = 5

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