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SAS Congruency

In the given ...

Question

In the given figure, if OA = OB and OC = OD, then $△ A O D ≅ △ B O C$ by ____ criterion of congruency.

ASA

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RHS

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SAS

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SSS

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Solution

The correct option is C SAS

In $△ A O D$ and $△ B O C$ we have,
OA = OB (given)
OC = OD (given)
$∠ C O B = ∠ D O A$ ..... (vertically opposite angles included between the corresponding sides)

Therefore, $△ A O D ≅ △ B O C$ by SAS criterion for congruency of triangles.

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O A = O B, O D = O C

Δ A O D ≅ Δ B O C

△ A O D ≅ △ B O C

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Δ A O D ≅ Δ B O C

In the given figure, if OA = BO and OC = OD, then, $△$ AOD $≅$ $△$ BOC by __ congruence rule.

In figure , if OA = OB, OD= OC then ∆AOD ≅ ∆BOC by congruence rule:

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