In the given figure, ∠DAO = ∠CBO and AO = BO. Identify the type of △DOC.
A
Scalene triangle
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B
Right-angle triangle
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C
Isosceles triangle
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D
Equilateral triangle
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Solution
The correct option is C Isosceles triangle Consider triangles, △DAO and △CBO AO = BO ..... (given) ∠DAO=∠CBO .... (given) ∠AOD=∠BOC .... (vertically opposite angles)
Therefore, △DAO≅△CBO by ASA criterion. ⇒ DO = OC (corresponding parts of congruent triangles)