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Question
In the given figure, ∠CIP ≡ ∠COP and ∠HIP ≡ ∠HOP. Prove that IP ≡ OP.
Solution
| Statements | Reasons |
| 1. CI = CO | ∵ CIP ≡ COP, by CPCTC |
| 2. IP = OP | By CPCTC |
| 3. CP = CP | By CPCTC |
| 4. Also HI = HO | CPCTC ∆HIP ≡ HOP given |
| 5. IP = OP | By CPCTC and (4) |
| 6. ∴ IP ≡ OP | By (2) and (4) |
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