Question

8) ABCD is a trapezium in which AB ll DC its diagonals intersect each other at Points o. show that
AO/BO=CO/DO​

Answer 1

Answer:

hence prove

Step-by-step explanation:

ABCD is a trapezium in which AB ll DC its diagonals intersect each other at Points o. show that

AO/BO=CO/DO

Answer 2

Step-by-step explanation:

Given: Trapezium ABCD, AB II DC

To Prove: AO/BO = CO/DO

proof:

In ∆ ABO and ∆ CDO

DOC = BOA ( Vertical opposite angles)

A = B ( alternate angles)

Therefore, ∆ABO ~ ∆CDO ( BY AA SIMILARITY)

Now,

AO/BO = CO/DO (Since the ratio corresponding sides of similar ∆s are always equal)

Hence Proved