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

Step-by-step explanation:

The points P (1, 2), Q (5,8), R (2, 3) and S(-2,- 3).

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

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

Now, Midpoint of PR = Midpoint of QS.

So diagonal bisect each other.

Hence, its a parallelogram.

Answer 2

Answer:

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