The points given represent three vertices of a parallelogram. What is the fourth vertex if it is known to be in the 2nd quadrant?
The points given represent three vertices of a rhombus. What is the fourth vertex if the missing point lies in the 3rd quadrant?
$A$A$\left(-3,-4\right)$(−3,−4), $B$B$\left(-5,2\right)$(−5,2) and $C$C$\left(-11,0\right)$(−11,0) form three vertices of square $ABCD$ABCD, where $T$T is the midpoint of the diagonal $AC$AC, and vertex $D$D is represented by the coordinates $D$D$\left(p,q\right)$(p,q).
Consider the parallelogram $ABCD$ABCD that has been graphed on the number plane.
Use coordinates to prove simple geometric theorems algebraically.