Question

AB and CD bisect each other at O. (i) State three pairs of equal parts in two triangles AOC and BOD. 2) Which of the following statements are true? a)Triangle AOC congruent to triangle DOB b)Triangle AOC congruent to triangle BOD​

Answer 1

hope! it may be helpful.

Answer 2

Given:

AB and CD bisect each other at O

To Find:

1) Three pairs of equal parts in two triangles AOC and BOD

2) Which of the following statements are true?

   a)Triangle AOC congruent to triangle DOB

   b)Triangle AOC congruent to triangle BOD​

Solution:

Since AB and CD bisect each other at O,

⇒AO = OB

   CO = OD

So,

In ΔAOC and ΔDOB

AO = OB

CO = OD

∠AOC = ∠DOB                                                  (vertically opposite angles)

∴ΔAOC ≅ ΔBOD                                               (By SAS)

⇒1) AO = BO

      OC = OD

      CA = DB

Hence, the statement "Triangle AOC congruent to triangle BOD​" is true.