Question

If (1,2)(4,y)(x,6)and (3,5)are vertices of parallelogram taken in order find x and y​

Answer 1

Answer:

X = 6,, Y = 3

Step-by-step explanation:

Given it is a parallelogram,

Let A(1,2) B(4,y) C(x,6) D(3,5)

In a parallelogram ABCD

coordinates of A = {sum of coordinates of B and D} -{coordinates of C}

i.e .. 1 = 4+3-x

X=7-1

X = 6

And similarly..

2 = y+5-6

Y = 3

HOPE ITS HELPFUL....

Answer 2

Answer:

Step-by-step explanation:

Midpoint of AC=Midpoint of BD

A(1,2),C(x,6)=B(4,5),D(3,5)

(1+x)/2,(2+6)/2=(4+3)/2,(y+5)/2

(1+x)/2=7/2

2+2x=14

2x=12

X=6

4=(y+5)/2

y+5=8

y=3