Question

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Answer 1

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.