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Stay Home , Stay Safe and keep learning!!!Angle side angle postulate (ASA) - > If two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent by angle-side-angle postulate.
|1) ∠BAC = ∠DAC||1) Given|
|2) AC = AC||2) Reflexive|
|3) ∠BCA = ∠DCA||3) Given|
|4) ΔBAC ≅ ΔDAC||4) By ASA (angle side angle postulate)|
|5) AB = AD||5) CPCTC|
|6) CB = CD||6) CPCTC|
|1) ∠BCD = ∠ADC||1) Given|
|2) ∠ACB = ∠BDA||2) Given|
|3) ∠BCD + ∠ACB = ∠ADC + ∠BDA||3) Adding (1) and (2)|
|4) ∠ACD = ∠BDC||4) Addition property|
|5) CD = CD||5) Reflexive|
|6) ΔACD ≅ ΔBDC||6) By ASA postulate|
|7) AD = BC||7) CPCTC|
|8) ∠A = ∠B||8) CPCTC|
|1) ∠DCA = ∠ECB||1) Given|
|2) ∠DCA + ∠ECD = ∠ECB + ∠ECD||2) Adding angle ∠ECD both sides in (1)|
|3) ∠ECA = ∠DCB||3) Addition property|
|4) BC = AC||4) Given|
|5) ∠DBC = ∠EAC||5) Given|
|6) ΔDBC ≅ ΔEAC||6) By ASA postulate|
|7) DC = EC||7) CPCTC|
|8) BD = AE||8) CPCTC|
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