B
1. In the given figure, AB = BD and CA = DC.
(a) Prove that ABAC = ABDC.
(b) Is ZABC = ZDBC? Why?
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1. A) Prove that ABAC = ABDC
=> AB ≅ BD (Given)
=> CA ≅ DC (Given)
=> angle A ≅ angle A (common in both sides)
∴ ABAC = ABDC
=> Hence proved by SAS congruence
B) Is ZABC = ZDBC? Why?
=> ABC = DBC (common angle B)
=> BC = BC (common)
=> ZA = ZD (same angle)
∴ ZABC ≅ ZDBC
=> Hence proved by SSS congruence
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