Question

Help me with geometry this is my 3rd time asking

Answer 1

Answer:

The coordinates of  D(5,2)

Step-by-step explanation:

Step(i):-

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

we have to use mid-point formula

          $(\frac{x_{1}+x_{2} }{2} ,\frac{y_{1}+y_{2} }{2} )$

Step(ii):-

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

                $(\frac{1+x_{2} }{2} ,\frac{-4+y_{2} }{2} ) = (3,-1)$

          ⇒  $\frac{1+x_{2} }{2} = 3$        and  $\frac{-4+y_{2} }{2} = -1$

           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)