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RHS Criteria for Congruency

Question 5 AB...

Question

Question 5
ABC and DBC are two isosceles triangles on the same base BC (see the given figure). Show that $∠ A B D = ∠ A C D .$

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Solution

$L e t u s j o i n A D . I n Δ A B D a n d Δ A C D, A B = A C (G i v e n) B D = C D (G i v e n) A D = A D (C o m m o n s i d e) ∴ Δ A B D ≅ Δ A C D (By SSS congruence rule) \Rightarrow ∠ A B D = ∠ A C D (B y C P C T)$

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RHS Criteria for Congruency

Standard IX Mathematics

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