Three vertices of a rectangle are $(3,2), (-4,2)$ and $(-4,5)$. Plot these points and find the coordinates of the fourth vertex.
(N/A) Let the three vertices of the rectangle be $A(3,2)$,$B(-4,2)$,and $C(-4,5)$ (see the figure).
We need to find the coordinates of the fourth vertex $D$ such that $ABCD$ forms a rectangle.
Since the opposite sides of a rectangle are equal and parallel to the axes,the abscissa (x-coordinate) of $D$ must be equal to the abscissa of $A$,which is $3$.
The ordinate (y-coordinate) of $D$ must be equal to the ordinate of $C$,which is $5$.
Therefore,the coordinates of the fourth vertex $D$ are $(3,5)$.
We need to find the coordinates of the fourth vertex $D$ such that $ABCD$ forms a rectangle.
Since the opposite sides of a rectangle are equal and parallel to the axes,the abscissa (x-coordinate) of $D$ must be equal to the abscissa of $A$,which is $3$.
The ordinate (y-coordinate) of $D$ must be equal to the ordinate of $C$,which is $5$.
Therefore,the coordinates of the fourth vertex $D$ are $(3,5)$.
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