Question

check if the points P(1,2),Q(5,8),R(2,3) and S (-2,-3) taken in order,form the vertices of a parallelogram.​

Answer 1

Answer:

Let the points A(1, 2), B(5, 8), C(2, 3), D(-2, -3)

$Midpoint \: of \: AC \: ( \frac{1 + 2}{2} , \frac{2 + 3}{2}) = ( \frac{3}{2} , \frac{5}{2} )$

$Midpoint \: of \: BD \: = ( \frac{5 - 2}{2} , \frac{8 - 3}{2}) = ( \frac{3}{2} , \frac{5}{2} )$

Since, Midpoint of BD = Midpoint of AC

Since diagonal bisect each other.

Hence, its a parallelogram.

Answer 2

Answer:

this is correct.................