HELP PLEASE (:Crystal is writing a coordinate proof to show that the diagonals of a parallelogram bisect each other. She starts by assigning coordinates as given.
Accepted Solution
A:
Answer: Please see below.Explanation: The coordinates of point C are (a+b,c). The coordinates of the midpoint of diagonal ¯¯¯¯¯¯AC are (a+b2,c2). The coordinates of the midpoint of diagonal ¯¯¯¯¯¯BD are (a+b2,c2). ¯¯¯¯¯¯AC and ¯¯¯¯¯¯BD intersect at point E with coordinates (a+b2,c2). By the definition of midpoint, ¯¯¯¯¯¯AE≅¯¯¯¯¯¯CE and ¯¯¯¯¯¯BE≅¯¯¯¯¯¯DE. Therefore diagonals ¯¯¯¯¯¯AC and ¯¯¯¯¯¯BD bisect each other.