Question

Please help me with question 9

Answer 1

ANSWER:

GIVEN   -      ABCD is a parallelogram

                     AC and BD are diagonals intersecting at M

TO PROVE-  M is mid point of LN

PROOF-        In  ΔAML and ΔCMN

                     ∠MAL = ∠MCN(alternate interior angles)

                     ∠AML = ∠CMN(vertically opposite angles)

                       AM = CM (diagonals in a parallelogram bisect each other)

                     ∴ ΔAML ≈ ΔCMN

                     ∴LM = NM (cpct)

                     ∴M is the  midpoint of LN

....HOPE IT HELPS YOU......

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