6. TBQ - Coordinate geometry

If the points \(A(2, 1)\), \(B(p, 1)\), \(C(5, 6)\) and \(D(2, q)\) are the vertices of a parallelogram \(ABCD\), then find the values of \(p\) and \(q\). Hence, check whether \(ABCD\) is a rectangle or not.

 

\(p = \)

 

\(q = \)

 

Check: 

 

\(AC\) \(=\) $\sqrt{i}$

 

\(BD\) \(=\) $\sqrt{i}$