Which statement proves that quadrilateral jklm is a kite?
∠m is a right angle and mk bisects ∠lmj.
lm = jm = 3 and jk = lk = .
mk intersects lj at its midpoint.
the slope of mk is –1 and the slope of lj is 1.

A kite is a flat shape with straight sides. It has two pairs of equal-length adjacent (next to each other) sides.

Main properties of an arbitrary kite:

1. Option 1 is false, because sides that are adjacent to the right angle could have different lengths or diagonals can cross not at 90°.

2. Option 2 is correct, because this option is strictly the definition of the kite.

3. Option 3 is false, because MK and LJ can be not perpendicular, and then adjacent sides will not have the same lengths.

4. Option 3 is false, because despite the perpendicularity between MK and LJ, this figure could be rhombus (with all equal sides) or square (with all equal sides and all right angles).

By the way, rhombus and square are partial cases of kite, but in general, an arbitrary kite is not rhombus and is not square.

correct choice is 2.

20

step-by-step explanation: