Question

in the figure quadrilateral ABCD is a trapezium side AB//sideDC 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 traingle MOC is similar to traingle NOA

Answer 1

Answer:Hence Proved

Step-by-step explanation: In triangle MOC and triangle NOA,

Angle AON=angle MOC (vertically opposite angles)

AngleANO=AngleCMO(Alternate angles)

Thus by AA criterion Triangle MOC is similar to Triangle NOA.

Hence proved .