Elements of a Parallelogram In figure a Parallelogram ABCD. There are four sides AB, BC, CD and DA and four angles ∠A, ∠B, ∠C and ∠D in a Parallelogram. AB and DC are opposite sides, and AD and BC are another pair of opposite sides. ∠A and ∠C are a pair of opposite angles, and another pair of opposite angles are ∠B and ∠D. AB […]
Read More →If each pair of opposite sides of a quadrilateral is equal, then it is a parallelogram. Given: ABCD is a quadrilateral, each pair of opposite sides of quadrilateral ABCD are AB and CD and also sides AD and BC are equal. AB = CD BC = AD To prove: ABCD is a parallelogram. Construction: Join A to C that is AC, is […]
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 […]
Read More →AAS Congruence Rule Angle-Angle-Side Two triangles are congruent, if two pairs of corresponding angles and one pair of opposite sides are equal in both triangles. In above figure there are two triangles, △CAB and △PQR △CAB and △PQR has two pairs of corresponding angles ∠A = ∠R, ∠C = ∠P and one pair of opposite sides side CB = side PQ. […]
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