Need help on problems 1-2

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  1. ΔOMN≅ΔMOP ∴ ∠OMN≅∠MOP by CPCTC

  2. ΔOSP≅ΔORP ∴ SP≅RP by CPCTC

Step-by-step explanation:

1 and 2

A properly constituted congruence statement lists the congruent vertices of the figures in the same order. That is, the sequence of vertices that make up one angle or segment in one of the figures will match the sequence of vertices that make up the congruent angle or segment in the other figure. The rule that lets you list congruent parts this way is ...

   Corresponding Parts of Congruent Triangles are Congruent (CPCTC)

In problem 1, the vertices making up the congruent angles are listed 1st, 2nd, and 3rd in the triangle congruence statement: ΔOMN≅ΔMOP.

In problem 2, the vertices identifying the congruent segments are listed 2nd and 3rd in the triangle congruence statement: ΔOSP≅ΔORP.