ABCD is a rhombus.Are ∆ ABC and ∆ADC congruent? Is ∠B = ∠D?
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Step-by-step explanation:
Given : ABCD is a rhombus
To prove : ∆ ABC ≅ ∆ADC
∠B = ∠D
Proof : In ∆ ABC and ∆ADC
AB = AD. ( adjacent sides are equal )
BC = DC ( adjacent sides are equal )
AC=AC. ( common)
So, ∆ ABC ≅ ∆ADC. ( by SSS congruency )
∠B = ∠D. ( by C. P. C. T)
(. ❛ ᴗ ❛.)_____
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