Question

in fig chord AB =chord CD and chord AB perpendicular chord CD .M And N are midpoints of chord CD resp. then prove that quad MONE is square​

Answer 1

Answer:

MONE is a square

Step-by-step explanation:

AB & CD chord intersect at E

O is center of circle

OM ⊥ AB & ON ⊥ CD  ( line from center to mid point of chord)

OM² = OA² - AM²

ON² = OD² - DN²

OA = OD = Radius

AM = AB/2  DN = CD/2

AB = CD

=> AM = DN

so OA² - AM²  = OD² - DN²

OM² = ON²

=> OM = ON

ON ║ AB   as AB ⊥ CD  & ON ⊥ CD

OM ║ CD as CD ⊥ AB & OM ⊥ AB

Three angles of MONE are 90° so 4th angle will be 90° also

now OM = ON (already shown) 9 adjacent sides)

So MONE is a square

Answer 2

Step-by-step explanation:

step by step ans need for target