SOLUTION: Segment AB is the diameter of circle M. The coordinates of A are (-4,3). The coordinates of M are (1,5). What are the coordinates of B

Question 697416: Segment AB is the diameter of circle M. The coordinates of A are (-4,3). The coordinates of M are (1,5). What are the coordinates of B
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
given:
segment is the diameter of circle
the coordinates of A are (-4,3)
the coordinates of M are (1,5)

as you can see the distance between and is a radius; so we can draw a circle with center at
the distance between and is same as the distance between and ; so, is diameter of circle
then draw diameter and find and read coordinates from a graph
the coordinates of point are (,)

or, you can do it this way:

now draw a line parallel to starting at and another one starting at
draw a line parallel to starting at , go down to
now you see two congruent triangles and
in triangle ,side and it shows us the difference between coordinates of points and
same difference is between coordinates of points and , as and as well; so, coordinate of point is more than coordinate of point
it means coordinate of point is
similarly, the distance between points and is , than the distance between points and is too;
so, we will get the coordinate of point if we add to the coordinate of point
it means, the coordinate of point is
finally, the coordinates of point are (,)

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