Question

Need answers for 18 and 19

Answer 1

Answer: 18. B(5,-2) 19. C(4,10).

Explanation:

18.

`Let\ the\ midpoint\ of\ \overline {AB}\ is\ F\ and\ coordinates\ of \ B\ is\ (x,y).\\Hence,\\F_x=1\\\displaystyle\\F_x=(A_x+B_x)/(2) \\1=(-3+x)/(2) \\`

Multiply both sides of the equation by 2:

`G_y=2.\\\displaystyle\\2=(12+y)/(2)`

`4=6+y\\4-6=6-6+y\\-2=y.\\Hence, \ B(5,-2).`

19.

`Let\ the\ midpoint\ of\ \overline {CD}\ is\ G\ and\ coordinates\ of \ C\ is\ (x,y).\\Hence,\\G_x=4\\\displaystyle\\G_x=(C_x+D_x)/(2) \\4=(x+4)/(2) \\`

Multiply both sides of the equation by 2:

`8=x+4\\8-4=x+4-4\\4=x.`

`G_y=11.\\\displaystyle\\11=(y+12)/(2)`

Multiply both sides of the equation by 2:

`22=y+12\\22-12=y+12-12\\10=y.\\Hence, \ C(4,10).`

Answer 2

Explanation:

Hope this helped and the answer is correct!