Question

in the figure ABCD is a trapezium side AB // side DC. M and N are any two points such that A-N-B and D-M-C Diagonal AC and seg MN intersect each other at O .Show that MOC similar NOA

Answer 1

Answer:

Step-by-step explanation:

In triangle MOC and NOA

angle OAN =OCM ...( i ) (alternate angle of parallel lines

angle AON=COM ...(ii)

.

. . by AA Similarity ,triangle MOC AND NOA are similar

Answer 2

Answer:

Step-by-step explanation:

GIVEN:A-M-B,A-N-C are co linear

AB||CD

In triangle MOC and NOA

<OAN =<OCM ...( i ) (alternate angle of parallel lines

<AON=<COM ...(ii)(opposite vertical angle)

•°•Triangle NOA~ triangle MOC (By AA Test