Rhombus show that diagonal AC bisects angle A as well as angle C and d

1.	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» 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

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»

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

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

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