Question

If A(3x,x-1), B(3x+2,X),C(3x+3,X+2),D (3x + 1, x+l) are vertices of ABCD Show
that ABCD is a parallelogram
​

Answer 1

Answer:

Proof is Provided Below

Step-by-step explanation:

Here's a simple method to solve this question:

We know that the opposite sides of the parallelogram  are parallel

This implies that the slope of the opposite sides are equal

SO NOW,

In parallelogram ABCD,

           TO PROVE:    SIDE AB II CD AND SIDE AC II BD

          Slope(m) = y2 - y1/x2-x1

slope of AB = x-(x-1)/3x+2-3x

                     = 1/2

slope of CD = x+1-(x+2)/3x+1-(3x+3)

                    = -1/-2

                    = 1/2

Similarly we can prove that slope of AC = slope of BD

Hence proved that ABCD are vertices of a parallelogram.

Welcome