find the image of (-3,-4) after a reflection in point(1,2)?

  • Thread starter Thread starter J
  • Start date Start date
J

J

New member
my answer is (0,2) becuase i did
(x- -3) /2 = -1.5
x-3= -3
x=0
(y- -1)/2 = -0.5
y-1=1
y=2
plz check my work i really appreciate it =]
 
You appear to be on the right path because you seem to have used the midpoint formula, something that needs to be used to solve this.

Note that reflecting a point through another point gives a line segment where the original point is one of the endpoints and the point we are reflecting through is the midpoint. Thus, this problem is equivalent to finding the second endpoint of a segment given that one of them is (-3, -4) and that the midpoint is (1, 2).

Using the midpoint formula, if the other endpoint is (x, y), then the midpoint is:
((x - 3)/2, (y - 4)/2).

Since the midpoint is (1, 2), we see that:
(x - 3)/2 = 1 and (y - 4)/2 = 2 ==> x = 5 and y = 8.

Thus, the image is (5, 8).

I hope this helps!
 
Back
Top