Q

# In Fig 7.25,overline AB and overline CD bisect each other at O.State the three pairs of equal parts in two triangles AOC and BOD. Which of the following statements are true? bigtriangleup AOC cong bigtriangleup DOB

4. In Fig 7.25,$\overline{AB}$ and $\overline{CD}$ bisect each other at $O$.

(i) State the three pairs of equal parts in two triangles $AOC$ and $BOD$.

(ii) Which of the following statements are true?

$(a) \bigtriangleup AOC\cong \bigtriangleup DOB$
$(b) \bigtriangleup AOC\cong \bigtriangleup BOD$

Views

i) The three pairs of equal parts in two triangles $AOC$ and $BOD$ are:

CO = DO (given)

OA = OB (given )

$\angle COA = \angle DOB$ ( As opposite angles are equal when two lines intersect.)

ii) So by SAS congruency rule,

$\Delta COA \cong\Delta DOB$

that is

$\bigtriangleup AOC\cong \bigtriangleup BOD$

Hence, option B is correct.

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