Question

3a

From the information given, determine which triangles, if any, are
congruent and state by which rule. If the triangles cannot be shown
to be congruent, write, "Cannot be determined" and explain.

Answer 1

Answer:
`\triangle COA \cong \triangle DOB` by the rule ASA

Explanation:

`\overline{CO} \cong \overline{OD}` (given)

`\angle ACO \cong \angle ODB` (given)

`\angle COA \cong \angle BOD` (vertical angles)

So,
`\triangle COA \cong \triangle DOB` by the rule ASA.