A variation of a triathlon competition has a contestant swimming from a point, A, on one shore of a lake, to a point C on the opposite parallel shore, then running to the finish, B, further along the
lakeshore. The lake is 4km wide and the finish line is 10km down the lake. If a contestant can swim at
2km/h and run at 10km/h, determine the point C that will minimize the total time for the race.

When you dilate a figure with a scale factor of 1/2, what will the dilated figure look like?                                                                                           a: the dilated figure will have side lengths that are half the length of the original side lengths.                                                                          b: the angles in the dilated figure will be half the measure of the original figure.                                                                                c: the dilated figure will have side lengths twice the length of the original.