The midpoint of \overline{\text{AB}} AB is M(3, 3)M(3,3). If the coordinates of AA are (2, -1)(2,−1), what are the coordinates

Question

The midpoint of \overline{\text{AB}}
AB
is M(3, 3)M(3,3). If the coordinates of AA are (2, -1)(2,−1), what are the coordinates of BB?

in progress 0
Dulcie 4 years 2021-08-22T23:09:58+00:00 1 Answers 5 views 0

Answers ( )

  1. bonexptip
    0
    2021-08-22T23:11:22+00:00
    Reply

    Answer:

               B(4, 7)

    Step-by-step explanation:

    M(3,\,3)\,,\quad A(2,\,-1)\,,\quad B(x_B,\,y_B)\\\\\overline{AM}=\overline{MB}\ \implies\ x_M-x_A=x_B-x_M\ \ \wedge\ \ y_M-y_A=y_B-y_M\\

    3-2=x_B-3\qquad\wedge\qquad 3-(-1)=y_B-3\\\\ 1=x_B-3\qquad\qquad\wedge\qquad\ \ 3+1=y_B-3 \\\\ {}\quad x_B=4\qquad\qquad\wedge\qquad\qquad \ y_B=7

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )