In the given figure- - DAO - CBO and AO - BO- Identify the type of DOC-A- Scalene triangleB- Right-angle triangleC- Equilateral triangleD- Isosceles triangle

The correct option is D Isosceles triangle Consider triangles, DAO and nbsp;CBO AO = BO ..... nbsp; (given) ∠ DAO = ∠ CBO .... (given) ∠ AOD = ∠ BOC .... ( ...

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Byju's Answer

Standard VII

Mathematics

ASA Criteria for Congruency of Triangles

In the given ...

Question

In the given figure, $∠$ DAO = $∠$ CBO and AO = BO. Identify the type of $△$ DOC.

Scalene triangle

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Right-angle triangle

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Isosceles triangle

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Equilateral triangle

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Solution

The correct option is C Isosceles triangle

Consider triangles, $△$ DAO and $△$ CBO
AO = BO ..... (given)
$∠ D A O = ∠ C B O$ .... (given)
$∠ A O D = ∠ B O C$ .... (vertically opposite angles)

Therefore, $△ D A O ≅ △ C B O$ by ASA criterion.
$\Rightarrow$ DO = OC (corresponding parts of congruent triangles)

$\Rightarrow △$ DOC is an Isosceles triangle.

Suggest Corrections

In the given figure, ∠DAO = ∠CBO and AO = BO. Identify the type of △DOC.

In the given figure, $∠$ DAO = $∠$ CBO and AO = BO. Identify the type of $△$ DOC.