The statements and reasons for the proof are:
- CN ≅ WN [given]
- ∠C ≅ ∠W [given]
- m∠CNR ≅ ∠WNO [vertical angles theorem]
- ΔCNR ≅ ΔWNO [ASA theorem]
- RN = ON [CPCTC]
What is the CPCTC and ASA Congruence Theorem?
When two triangles have two corresponding congruent angles and one corresponding included sides that are congruent, both triangles are congruent by ASA. By implication, the CPCTC states that since they are congruent triangles, all its corresponding parts are congruent to each other.
The statement for the proof along with the reasons in bracket are:
- CN ≅ WN [given]
- ∠C ≅ ∠W [given]
- m∠CNR ≅ ∠WNO [vertical angles theorem]
- ΔCNR ≅ ΔWNO [ASA theorem]
- RN = ON [CPCTC]
Learn more about the CPCTC theorem on:
https://brainly.com/question/14706064
#SPJ1
