Question

CD has endpoints C(6,-8) and D(-4,10) on a coordinate plane. What are the coordinates of the midpoint CD

Answer 1

The required midpoints are ( 1, 1 ).

Explanation:

Given that the endpoints are C( 6, -8) and D ( -4, 10)-

As we know that-

If a line segment AB is with endpoints (
`x_(1), y_(1)` ) and (
`x_(2), y_(2)` ) then the mid points C are-

C = (
`(x_(1) + x_(2) )/(2)` ,
`(y_(1) + y_(2) )/(2)` )

Here,

C( 6, -8) and D ( -4, 10)-

then the midpoints C are-

C = (
`( 6 + (- 4) )/(2)` ,
`(-8 + 10)/(2)`

C= ( 2/2 , 2/2 )

C = ( 1, 1 )

Hence the required midpoints are ( 1, 1 ).