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In quadrilateral abcd ab is equals to dc and angle a is bisected by ac show that dc equals to b |
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Answer» Answer: yep Step-by-step explanation: Answer: Proved bellow. Step-by-step explanation: Our QUESTION is: In a quadrilateral ABCD AB=AD and AC bisects angle A show that triangle ABC is congruence to triangle ABD. We know that AB = AD and a bisector of angle A is AC. Our aim is to prove that ABD is congruent with ACD. AC is a bisector of A, then: ⇒ ∠DAC = ∠BAC In ΔADC and ΔABC, we know that AD=AB and ∠DAC=∠BAC, HENCE: ⇒ AC = AC By SAS, if TWO triangles have two equal sides or congruent sides, and an equal angle formed by these sides, then both triangles are congruent. Hence, ΔABD ≅ ΔACD. Hope this helped you!!
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