Name: ____________________________________________________ Block: _____ Unit 2 Proofs Guide it is one thing, but proving it is another.” “Saying 1. Name the property, theorem or postulate! NOT A a. XY = XY b. If x + y = 6, then 6 = x + y. If and form a right angle, then c. ∠ABC ∠EBD and are complementary angles. ∠ABC ∠EBD Algebraic Proofs! Complete the algebraic proof below. 2. Given: 8(x 1) = 5x 35 – – Prove: x = 9 – Statement Reason 1. 8(x – 1) = 5x – 35 1. 2. 8x 8 = 5x 35 2. – – 3. 8x 8 5x = 5x 35 5x 3. – – – – 4. 3x 8 = 0 35 4. – – 5. 3x 8 = 35 5. – – 6. 3x 8 + 8 = 35 + 8 6. – – 7. 3x + 0 = 27 7. – 8. 3x = 27 8. – 9. 9. 10. 1x = – 9 10. x = 9 11. – 11. Segment Proofs! Complete the two segment proofs below. 3. B is the midpoint of C is the midpoint of Prove:
Name: ____________________________________________________ Block: _____ Unit 2 Proofs Guide “Saying it is one thing, but proving it is another.” 1. Name the property, theorem or postulate! NOT A a. XY = XY b. If x + y = 6, then 6 = x + y. c. If ∠ABC and ∠EBD form a right angle, then ∠ABC and ∠EBD are complementary angles. Algebraic Proofs! Complete the algebraic proof below. 2. Given: 8(x – 1) = 5x – 35 Prove: x = – 9 Statement Reason 1. 8(x – 1) = 5x – 35 1. 2. 8x – 8 = 5x – 35 2. 3. 8x – 8 – 5x = 5x – 35 – 5x 3. 4. 3x – 8 = 0 – 35 4. 5. 3x – 8 = – 35 5. 6. 3x – 8 + 8 = – 35 + 8 6. 7. 3x + 0 = – 27 7. 8. 3x = – 27 8. 9. 9. 10. 1x = – 9 10. 11. x = – 9 11. Segment Proofs! Complete the two segment proofs below. 3. B is the midpoint of C is the midpoint of Prove:
17%20Chapter%202%20Proofs%20Study%20Guide.docx