enigma123 wrote:
In the rectangular coordinate system, the line y = x is the perpendicular bisector of segment AB (not shown), and the y-axis is the perpendicular bisector of segment BC (not shown). If the coordinates of point A are (3; 2), what are the coordinates of point C?
A. (-3;-2)
B. (-2; 3)
C. (3;-2)
D. (2;-3)
E. (2; 3)
Hey enigma123,
An alternate way of solving this would be by visualization.
First, we plot the line y=x and the point A(3,2) in our graph.
a) Since we are given that AB is the perpendicular bisector of the line y=x, we can deduce from the figure that the value of the 'x' co-ordinate of point B must be positive and less than the value of the 'x' co-ordinate of point A.
From this we can eliminate choices A,B and C
b) Also, we can deduce by observation that the 'y' co-ordinate of point B is positive (since B lies above the X axis)
From this we can eliminate choice D
From a) and b), we now know that point B lies in the first quadrant.
Only option that remains is E
Cheers!
Spare a second and gift me some KUDOS!