Question

in a quadrilateral acbd ac =BD and bisects angle a. show triangle ABC is congruent to triangle abd

Answer 1

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Answer 2

$\huge\mathscr\red{Answer}$

★ Given :-

AC = AD

AB bisects ∠ A

★ Prove :-

△ABC ≅ ABD

★ Proof :-

AC = AD (Given)

∠CAB = ∠DAB (AB is a bisector)

AB = AB (Common)

∴ △ABC ≅ △ABD (By SAS rule)