Fill in the missing statements or reasons.
Given: | ∠1 ≅ ∠P |
∠4 ≅ ∠P | |
bisects ∠RVO | |
Prove: | ∠ TVP ≅ ∠ MVP |
PROOF | ||||
Statements | Reasons | |||
| 1. | ∠1 ≅ ∠ P | 1. | Given |
| 2. | ? | 2. | Given |
(1), (2) | 3. | ? | 3. | Transitive Prop. of ≅ |
(3) | 4. | m ∠1 = m ∠ 4 | 4. | ? |
| 5. | bisects ∠RVO | 5. | ? |
| 6. | ? | 6. | If a ray bisects an ∠, it forms two ∠ s of equal measure |
(4), (6) | 7. | ? | 7. | Addition Prop. of Equality |
| 8. | m ∠ 1 + m ∠ 2 = m ∠ TVP; m ∠ 4 + m ∠ 3 = m ∠ MVP | 8. | ? |
(7), (8) | 9. | m ∠ TVP = m ∠ MVP | 9. | ? |
| 10. | ? | 10. | If two ∠ s are = in measure, then they are ≅ |
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