Question

Rhombus show that diagonal AC bisects angle A as well as angle C and diagonal BD bisects Angle B as well as angle d​

Answer 1

Answer:

[In rhombus all side are equal and diagonols

⇒AB=BC=CD=DA

⇒AC⊥BD

In ΔABC

⇒AB=BC

⇒∴∠CAB=∠ACB

⇒AO=OC

∴∠ABO=∠CBO

and simillarly in ΔADC

⇒AD=DC

⇒AO=OC

∴corresponding angle are equal

⇒∠DAC=∠DCA

and∠CDO=∠ADO

Hence, ACbisect ∠A and ∠C and BDbisects ∠Band∠D