Find the reflection(image)of point (7,-5)in the point (-3,1)

Dear Student

 

A point reflection exists when a figure is built around a single point called the center of the figure, or point of reflection.  For every point in the figure, there is another point found directly opposite it on the other side of the center such that the point of reflection becomes the midpoint of the segment joining the point with its image. 

 

Now for point (7,-5) around (-3,1) we will have the coordinates of the reflected point as:

x coordinate = 2(-3) - 7 = -13

y coordinate = 2(1) - (-5) = 7

 

Thus (-13,7) is the required point.