Answer:
<em>The coordinates of B are (1,6)</em>
Step-by-step explanation:
<u>Point Reflection</u>
Given the point P(x,y) and its reflection P'(x',y') with respect to the point C(xc,yc), C is the midpoint of the segment PP'.
This means the coordinates of C are:


If the coordinates of the midpoint are given, then the endpoint P' can be found solving for x' and y':


The point P' is the reflection of P over C.
We are given the coordinates of A(-5,4) and the point (-2,5). We need to find the coordinates of point B(x',y'). Let's use the formulas as if A was point P and C=(-2,5):


The coordinates of B are (1,6)