Question

State the conditions of congurency​

Answer 1

In Fig:. a :

Given :

• AB = AD
• ∠DAC = ∠BAC

To Find :

• Condition of Congruency.

Solution :

In Δ ADC and Δ ABC :

$\longmapsto\tt{AB=AD\:(Given)}$

$\longmapsto\tt{\angle{DAC}=\angle{BAC}\:(Given)}$

$\longmapsto\tt{AC=AC\:(Common)}$

So , By SAS Rule Δ ADC ≅ Δ ABC...

_______________________

In Fig:. b :

Given :

• OA = OB
• OC = OD

To Find :

• Condition of Congruency.

Solution :

In Δ AOC and Δ BOD :

$\longmapsto\tt{OA=OB\:(Given)}$

$\longmapsto\tt{OC=OB\:(Given)}$

$\longmapsto\tt{\angle{COA}=\angle{BOD}\:(V.O.A)}$

So , By SAS Rule Δ AOC ≅ Δ BOD..

Answer 2

Answer:

AB=AD(Given)

\longmapsto\tt{\angle{DAC}=\angle{BAC}\:(Given)}⟼∠DAC=∠BAC(Given)

\longmapsto\tt{AC=AC\:(Common)}⟼AC=AC(Common)

So , By SAS Rule Δ ADC ≅ Δ ABC...

_______________________

In Fig:. b :

Given :

OA = OB

OC = OD

To Find :

Condition of Congruency.

Solution :

In Δ AOC and Δ BOD :

\longmapsto\tt{OA=OB\:(Given)}⟼OA=OB(Given)

\longmapsto\tt{OC=OB\:(Given)}⟼OC=OB(Given)

\longmapsto\tt{\angle{COA}=\angle{BOD}\:(V.O.A)}⟼∠COA=∠BOD(V.O.A)

So , By SAS Rule Δ AOC ≅ Δ вσd