Question

Can someone please help me this is geometry

Answer 1

Explanation:

`\displaystyle\\\boxed {M_(AB)=((x_A+x_B)/(2),(y_A+y_B)/(2) ) }`

1) E(-5,-3) F(3,7) M(x,y)=?

`\displaystyle\\M(x,y)=((-5+3)/(2) ),(-3+7)/(2))\\\\ M(x,y)=((-2)/(2),(4)/(2) )\\\\ M(x,y)=(-1,2)\\\\Thus, \ M(-1,2)`

2) L(-8,11) N(-3,12) M(x,y)=?

`\displaystyle\\M(x,y)=((-8+(-3))/(2) ,(11+12)/(2) )\\\\M(x,y)=((-11)/(2),(23)/(2))\\\\ M(x,y)= (-5.5,11.5)\\\\Thus, M(-5.5,11.5)`

3) A(-4,6) B(2,4) M(x,y)=?

`\displaystyle\\M(x,y)=((-4+2)/(2),(6+4)/(2))\\\\ M(x,y)=((-2)/(2),(10)/(2))\\\\ M(x,y)=(-1,5)\\\\ Thus,\ M(-1,5)`