Question

If the points (3,2), (6,3), (x, y) and (6,5) when joined in order and form a paralulogram, then let us calculate the point(x, y)​

Answer 1

Question:-

If the points (3,2), (6,3), (x, y) and (6,5) when joined in order and form a parallelogram, then let us calculate the point(x, y).

Answer:-

Step 1 of 2

Find the mid-point:

$AC = ( \frac{3 + x}{2} \:, \frac{7 + 3}{2} ) \\ AC = ( \frac{3 + x}{2}, \frac{10}{2} ) \\ BD = (\frac{5 + 6}{2}, \frac{6 + y}{2} ) \\ BD = ( \frac{11}{2}, \frac{6 + y}{2} )$

Step 2 of 2

Find the value of x & y:

$\frac{3 + x}{2} = \frac{11}{2} \\ 3 + x = 11 \: \: \: \: 6 + y = 10 \\ x = 8 \: \: \: \: \: \: \: \: y = 4 \\ \frac{6 + y}{2} = \frac{10}{2}$

Final Answer

The value of x = 8, & y = 4.