Question

diagonals ACof a parallelogram ABCD bisects angle A
a) does AC bisects angle C also ? Give reason
B) is ABCD a rhombus ? Give reason
​

Answer 1

Answer:

A)True

B)TRUE

MY PLEASURE TO GIVE YOUR ANSWER

Answer 2

Answer:

i) ABCD is a parallelogram.

∠DAC = ∠BCA (Alternate interior angles)

∠BAC = ∠DCA (Alternate interior angles)

However, it is given that AC bisects ∠A.

∠DAC = ∠BAC

From equations (1), (2), and (3), we obtain

∠DCA = ∠BAC = ∠D

ii) From Equation (