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In the given figure, \(D\) is the midpoint of \(OE\) and \(\angle CDE = 90^{\circ}\). Prove that \(\triangle ODC \equiv \triangle EDC\).
![YCIND_230118_4962_TN_GEO8_ST_2.png](https://resources.cdn.yaclass.in/452011ab-877b-4fdb-bb86-81650c8423c9/YCIND2301184962TNGEO8ST2w300.png)
Proof:
Statement | Reason | |
1 | \(OD = ED\) | |
2 | \(DC = DC\) | |
3 | \(\angle CDE = \angle CDO = 90^{\circ}\) | |
4 | \(\triangle ODC \equiv \triangle EDC\) |
Answer variants:
Given that \(D\) is the midpoint of \(OE\).
Common leg
Given that \(\angle CDE = 90^{\circ}\) and \(ODE\) is linear pair.
By SAS Criteria (1,2,3)
By RHS Criteria (1,2,3)