Question

If A(2,2),B(8,6),P(4,2),Q(10,6) are any four points then prove that AB = PQ in length...

Answer 1

We know that the diagonals of a parallelogram bisect each other. So, coordinates of the mid-point of diagonal AC are same as the coordinates of the mid-point of diagonal BD.

∴(26+9,21+4)=(28+p,22+3)

⇒(215,25)=(28+p,25)

⇒215=28+p⇒15=8+p⇒p=7

Answer 2

Answer:

Yes they are equal in length

Explanation:

first you have to find the distance between two point by using the formula √(x2-x1)^2+(y2-y1)^2

for the point AB =√(8-2)^2+(6-2)^2

AB=√100

AB=10

AND similarly we can find PQ

which is also equal to 10