Question

de ≅ op reason: given dc ≅ rp reason: given ∠o ≅ ∠e reason: given △opr ≅ △edc reason: sas answer attempt 2 out of 2 submit answer search for reasons... sss sas asa aas ssa aa hl

Explanation:

Step1: Recall triangle - congruence postulates

The Side - Angle - Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
We are given that $\overline{DE}\cong\overline{OP}$, $\overline{DC}\cong\overline{RP}$, and $\angle O\cong\angle E$. The angle $\angle O$ is the included angle between $\overline{OP}$ and $\overline{RP}$ in $\triangle OPR$, and $\angle E$ is the included angle between $\overline{DE}$ and $\overline{DC}$ in $\triangle EDC$.

Answer:

SAS