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17. complete the statement: δoeh ≅ δ select by select show your work

Question

  1. complete the statement: δoeh ≅ δ select by select show your work

Explanation:

Step1: Identify congruent sides

From the figure, \(EH = EP\) (marked with the same number of ticks) and \(HO = PO\) (marked with the same number of ticks).

Step2: Identify the common side

\(EO\) is a common side to both \(\triangle OEH\) and \(\triangle OEP\).

Step3: Apply the SSS (Side - Side - Side) congruence criterion

Since \(EH = EP\), \(HO = PO\), and \(EO=EO\), by the SSS congruence criterion, \(\triangle OEH\cong\triangle OEP\).

Answer:

\(\triangle OEP\), SSS (Side - Side - Side)