true or false: If JK has endpoints J(-2, 3) and K(6, 5), and LN has endpoints L(0, 7) and N (4, 1), then JK and LN have the same midpoint

llm

Answered on Fri May 20 2022

Formula :

Mid-point = (x1 + x2)/2 , (y1 + y2)/2

We have,

J = (-2,3) and k = (6,5)

L = (0,7) and N = (4,1)

So, Mid point of JK = (-2+6)/2 , (3+5)/2

= (4/2) , (8/2)

= 2 , 4

So, Mid point of jk are (2,4)

Now, Mid-point of LN = (0+4)/2 , (7 + 1)/2

= 4/2 , 8/2

= 2 , 4

So, Mid-point of LN are (2,4)

Thus, JK and LN have the same Mid-point.