Proofs Study Guide
Write a 2-column or flow chart proof for the following: If 6 = a + 2, ten a = 16. 4
Write a 2-column or flow chart proof for the following: If 9x 7 = 7, ten x = 0.
Write a 2-column or flow chart proof for the following: If 4 + n 5 = 0, ten n = 20.
Write a 2-column or flow chart proof for the following: If 5+m 6 = 1, ten m = 11.
Write a 2-column or flow chart proof for the following: If 144 = 12 k + 5, ten 17 = k.
Write a 2-column or flow chart proof for the following: If m 1 = 100, ten m 1 = m 3. 1 4 3 2
Write a 2-column or flow chart proof for the following: If m 4 = 50, wy does te m 4 = m 8? 1 2 4 3 5 6 8
Write a 2-column or flow chart proof for the following: If m 3 = 140, wy does te m 3 = m 5? 1 2 4 3 5 6 8
Write a 2-column or flow chart proof for the following: If m 2 = 30, wy does te m 2 = m 8? 1 2 4 3 5 6 8
Write a 2-column or flow chart proof for the following: If m 1 = 125, ten m 2 = 55. 1 2
Write a 2-column or flow chart proof for the following: If m AMP = 40 and m AMF = 70, ten m PMF = 30.
Write a 2-column or flow chart proof for the following: If GM = 10 and GC = 27, ten MC = 17.
Write a 2-column or flow chart proof for the following: If m PQR = 4x and m RQS = 2x, ten m PQS = 6x.
Write a 2-column or flow chart proof for the following: If HI = 2IJ, ten HJ = 3IJ.
Fill in the following 2-column proof:
Fill in the following 2-column proof:
Fill in the following 2-column proof:
Fill in the following 2-column proof:
Fill in the following 2-column proof: Statements Reasons BDis te angle bisectore of ABC Given ABD 1 Given m ABD = m 1 Definition of Congruent Angles m ABD = m DBC Definition of Angle Bisector m 1 = m DBC Substitution Property of Equality m DBC = m 1 Symmetric P.O.E. DBC 1 Definition of Congruent Angles
Fill in the following 2-column proof: Statements Reasons
Fill in the following 2-column proof:
Fill in the following 2-column proof: Prove: AC DF Statements 1. 1. 2. 2. 3. 3. 4. 4. 5. 5. 6. 6. 7. 7. 8. 8. 9. 9. 10. 10. 11. 11. Reasons
Fill in the following 2-column proof:
Make corrections to the following 2-column proof: Reasons Statements 1. GH = 3HI 1. Given 2. GH = GI + HI 2. Segment Addition Property 3. 4HI = 3HI + HI 3. Substitution Property of Inequality 4. GI = 4HI 4. Prove
Make corrections to the following 2-column proof: Statements 1. m TLC = 3f + 8 1. Given Reasons 2. f = 8 2. Given 3. TLC MLB 3. Corresponding Angles Postulate 4. m TLC = m MLB 4. Definition of Congruent Segments 5. 3f + 8 = 5f 10 5. Symmetric Property of Equality 6. 8 = 2f 10 6. Addition P.O.E. 7. 18 = 2f 7. Subtraction P.O.E. 8. 9 = f 8. Multiplication P.O.E. 9. f = 9 9. Reflexive P.O.E.
Make corrections to the following 2-column proof: Reasons Statements 1. LA = 2AM 1. Given 2. AM = LA + LM 2. Angle Addition Postulate 3. 3AM = 2AM + AM 3. Symmetric Property of Inequality 4. LM = 3AM 4. Prove
Make corrections to the following 2-column proof: Statements 1. m TOP = 2z + 11 1. Prove Reasons 2. m FOR = 4z 7 2. Prove 3. top mlb 3. Supplementary Angles Postulate 4. m TOP m FOR 4. Definition of Congruent Segments 5. 4z 7 = 2z + 11 5. Substitution P.O.E. 6. 2z + 18 = 4z 6. Addition P.O.E. 7. 18 = 2z 7. Subtraction P.O.E. 8. 9 = z 8. Division P.O.E. 9. z = 9 9. Transitive P.O.E.
Make corrections to the following 2-column proof: Statements Reasons 1. L is supplementary to M. 1. Given 2. L + M = 180 2. Definition of Complementary Angles 3. L P 3. Given 4. m L = m P 4. Definition of Congruent Segments 5. P M = 90 5. Symmetric Property of Congruence 6. M N 6. Given 7. M = N 7. Definition of Supplementary Angles 8. m P + m N = 90 8. Angle Addition Postulate 9. P is congruent to N 9. Definition of Supplementary Angles
Make corrections to the following 2-column proof: Reasons 1. 1 and 2 form congruent angles 1. Given Statements 2. 1 and 2 are complementary 2. Linear Pairs are Congruent 3. 3 and 4 form 180 3. Given 4. 3 and 4 are complementary 4. Linear Pairs are Complementary 5. m 1 + m 2 = 180 5. Angle Addition Postulate 6. m 3 + m 4 = 180 6. Addition Property of Equality 7. m 1 + m 2 + m 3 + m 4 = 180 7. Addition Property of Congruence
Make corrections to the following 2-column proof: Statements 1. HKJ is a rigt angle 1. Given Reasons 2. HKJ = 180 2. Definition of a Straight Angle 3. KI bisects HKJ 3. Bisector Property of Equality 4. IKJ IKH 4. Definition of Segment Bisector 5. IKJ = IKH 5. Congruent Angles Postulate 6. m IKJ m IKH = m HKJ 6. Addition Angle Property 7. m IKJ + m IKJ = 180 7. Symmetric Property of Congruence 8. 2m IKJ = 180 8. Multiplication Property of Equality 9. m IKJ = 100 9. Subtraction Property of Congruence 10. IKJ is a straigt angle 10. Definition of a Corner Angle
Make corrections to the following 2-column proof: Reasons 1. 2 and 3 are supplementary 1. Given Statements 2. m 2 + m 3 = 90 2. Complementary Angles Property 3. 1 = 3 3. Given 4. 1 = 3 4. Definition of Congruent Segments 5. m 2 + m 3 = 180 5. Substitution Property of Congruence 6. 2 and 1 are congruent 6. Definition of Congruent Angles