InterviewSolution
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InterviewSolution
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A line segment AB is bisected at point P andthrough point P another line segment PQ,which is perpendicular to AB, is drawn. Showthat : QA QB. |
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Answer» Consider the figure for reference, In Triangles APQ & BPQ, P bisects AB thus PA =PB...(1) PQ is perpendicular to AB, thus∠ QPA =∠ QPB = 90° PQ is a common segment to both the trianglesAPQ & BPQ Thus by the definition of congruence that 2 triangles are congruent if 2 sides and an angle formed by them are equal in each triangle. ALso knon as Side-ANgle-SIde(SAS) Thus trianglesAPQ & BPQ are congruent Thus side QA = QB |
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