Question

2. ABCD is a Parallelogram in which diagonals AC and BD intersect at point O a line
segment LM is drawn passing through o. Prove that LO-OM.​

Answer 1

Step-by-step explanation:

Given ABCD is a parallelogram and AC, BD are the diagonals intersecting at O. Hence OA = OC and OB = OD [Since diagonals bisect each other] Consider, ΔAOL and ΔCOM ∠AOL = ∠COM [Vertically opposite angles] OA = OC [Given] ∠OAL = ∠OCM [Alternate angles] ∴ ΔAOL ≅ ΔCOM [By ASA Congruence criterion] Hence OL = OM (CPCT)

Answer 2

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