Question

Help me with geometry this is my 3rd time asking

Answer 1

The coordinates of D(5,2)

Explanation:

Step(i):-

Given point C(1,-4) and mid point M( 3,-1)

we have to use mid-point formula

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

Step(ii):-

Given mid point M( 3,-1) and (x₂ , y₂ ) be the 'D' co-ordinates

`((1+x_(2) )/(2) ,(-4+y_(2) )/(2) ) = (3,-1)`

⇒
`(1+x_(2) )/(2) = 3` and
`(-4+y_(2) )/(2) = -1`

1 + x₂ = 3 ˣ 2 and -4 +y₂ = -2

⇒ x₂ = 6-1 =5 and y₂ = -2 +4

⇒ x₂ = 5 and y₂ = 2

Final answer:-

The coordinates of 'D' = (5,2)