Question

Can anyone explain the kite to me ? What are the half properties? and when is a case that the long diagonal is not always the bisector

Answer 1

The properties of the kite are as follows:

Two disjoint pairs of consecutive sides are congruent by definition
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Note: Disjoint means that the two pairs are totally separate.

The diagonals are perpendicular.

One diagonal (segment KM, the main diagonal) is the perpendicular bisector of the other diagonal (segment JL, the cross diagonal). (The terms “main diagonal” and “cross diagonal” are made up for this example.)

The main diagonal bisects a pair of opposite angles (angle K and angle M).

The opposite angles at the endpoints of the cross diagonal are congruent (angle J and angle L).

The last three properties are called the half properties of the kite.