Question

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.

Answer 1

here is the answer ;p

Step-by-step explanation:

Answer 2

Please see below.

Step-by-step 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.