Geometry

Question Analysis:
This question involves the properties of kites, specifically how diagonals intersect and behave in a kite.
The main focus is on using the perpendicular property of diagonals and the fact that one diagonal bisects the other.

Key Concept Explanation:
A kite is a quadrilateral with two pairs of adjacent, congruent sides.
One important property of kites is that:
The diagonals are perpendicular, and
The longer diagonal bisects the shorter diagonal.
In kite ABCD, diagonal AC is the shorter diagonal and is bisected by diagonal BD at point E.

Step-by-Step Solution:
Given AC = 12, and diagonals intersect at E.
Since BD bisects AC, then AE = EC.
AE = EC = AC/2 = 12/2 = 6
So, the length of segment AE is 6.

Common Mistakes:
Assuming both diagonals are bisected (like in rhombuses).
Dividing the longer dia...