Equal chords of a circle subtend equal angles at the center. Given: Two equal chords AB and CD of a circle with center O. i,e. AB = CD. To prove: ∠AOB = ∠COD Proof: In △AOB and △ COD OA = OC (Radius of circle)OB = OD (Radius of circle)AB = CD (Given) Hence, △AOB ≅ △ COD (SSS Congruence rule) ∴ ∠AOB […]
Read More →Congruent triangles Worksheet Problems and Solutions Example : (1) In figure if AD = CD and AB = CB. (i) Find the three pairs of equal parts in △ABD and △CBD. (ii) Is △ABD ≅ CBD ? Why or why not? (iii) Does BD bisect ∠ABC? give reason. Solution : (i) In △ABD and △CBD, three pairs of equal parts […]
Read More →The side opposite to equal angles of a triangle are equal. Given: A triangle △ ABC in which angles opposite to sides AC and AB of are ∠B and ∠C, and ∠B = ∠C. To prove: We need to prove that sides AB and AC, are equal AB = AC. Construction: Draw […]
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