Proving quadrilaterals

PLEASE PLEASE PLEASE HELP

*the diagonals of a square bisect the vertex angle
* the diagonal of a rhombus are perpendicular
*each diagonal of a rhombus bisects the opposite angles of the rhombus

help me prove please how ? tell me

1 answer

1,3. consider that the angles are alternate interior angles formed with the parallel sides.

a simple web search will provide proofs of all of these assertions.