Let a = 2 + 4i, b= 14 + 8i, and supose that c is the midpoint of a and b and that is the midpoint of a and c.
a. find points c and
b. find the distance betwen a and b.
c. find the distance betwen a and c.
d. find the distance betwen c and
e. find the distance betwen and b.
f. find a point one-quarter of the way along the line segment conecting segment a and b, closer to a than to b.
g. terence thinks the distance from b to c is the same as the distance from a to b. is he corect? explain why
or why not.
h. using your answer from part (g), if e is the midpoint of c and b, can you find the distance from e to c?
explain.
i. without doing any more work, can you find point e? explain.