Question

in the below figure O is the midoint of ABand CD. Prove that AC=BD and AC parallel to BD.​

Answer 1

Answer:

Step-by-step explanation:

According to the question,

OA=OB........1

OC=OD..........2

AB and CD are straight lines

so ang.(AOC)=ang.(BOD).........3  [Vertically opposite angle]

By 1,2 and 3

triangle AOC is congruent triangle  BOD [ SAS Criterion]

By CPCT,

AC=BD

ang(OAC)=ang(OBD)

we know that if alternate angle are equal then the lines are parallel

so

AC is parallel to BD

in fact this is forming a parallelogram

;)