Question

In figure AB and CD bisect each other at O. State the 3 pairs of equal parts in ∆AOC and ∆BOD. Is ∆AOC ≅ ∆BOD? Give reasons

Answer 1

SEE EXPLANATION

Explanation:

`In\:\triangle AOC \:\&\:\triangle BOD`

`AO \cong OB.... (given)`

`\angle AOC \cong\angle BOD`

`(vertical \: \angle s)`

`CO \cong OD.... (given)`

`\therefore \triangle AOC \:\cong\:\triangle BOD`

`(SAS \: postulate)`

So, the 3 pairs of equal parts in ∆AOC and ∆BOD are:

`AC = BD`

`m\angle OAC = m\angle OBD`

`m\angle OCA = m\angle ODB`