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CBSE Class 9 Answered

1)PQ AND RS ARE TWO EQUAL AND PARALLEL LINE SEGMENTS ANY POINT M NOT LYING ON PQ AND RS IS JOINED TO Q AND S THE LINE THROUGH P PARALLEL TO QM AND THE LINE THROUGH R PARALLEL TO AM MEET AT NPROVE THAT THE LINE SEGMENTS MN AND PQ ARE EQUAL AND PARALLEL      
Asked by Yash | 08 Mar, 2017, 05:59: PM
answered-by-expert Expert Answer

begin mathsize 16px style PQ equals RS space and space PN space parallel to QM rightwards double arrow angle RPN equals angle SQM And comma space PR equals QS RN parallel to SM rightwards double arrow angle PRN equals angle QSM Then comma space increment PRN approximately equal to increment QSM space space space space left parenthesis by space ASA space congruency right parenthesis rightwards double arrow PN equals QM space and space RN equals SM space space space space space space left square bracket cpct right square bracket Since space PN space parallel to QM space and space PN equals QM comma space PQMN space is space straight a space parallelogram. Similarly comma space RN parallel to SM space and space RN equals SM comma space RSMN space is space straight a space parallelogram. Thus comma space PQ equals MN space and space PQ parallel to MN end style

Answered by | 08 Mar, 2017, 06:15: PM

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