Question

ABCD is a quadrilateral. AM and CN are perpendiculars to BD, AM = CN and diagonals AC and BD intersect at O, then which one of the following is correct? 1. AO = OC, 2. BO = OD, 3. AO = BO, 4. CO = OD

Answer 1

AO=OC

Step-by-step explanation:

In △AMO and △CNO

AM=CN (Given)

∠AMO=∠CNO=90

∘

∠AOM=∠CON

∴ △AMO≅△CNO

⇒ AO=OC