Mathematics
ABCD is a parallelogram. If the diagonal AC bisects ∠A, then prove that :
(i) AC bisects ∠C
(ii) ABCD is a rhombus
(iii) AC ⊥ BD
Related Questions
Prove that every diagonal of a rhombus bisects the angles at the vertices.
If the diagonals of a rhombus are equal, prove that it is a square.
Prove that bisectors of any two opposite angles of a parallelogram are parallel.
Prove that bisectors of any two adjacent angles of a parallelogram are at right angles.