Write a 2-column or flow chart proof for the following:
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1 Proofs Study Guide
2 Write a 2-column or flow chart proof for the following: If 6 = a + 2, ten a = 16. 4
3 Write a 2-column or flow chart proof for the following: If 9x 7 = 7, ten x = 0.
4 Write a 2-column or flow chart proof for the following: If 4 + n 5 = 0, ten n = 20.
5 Write a 2-column or flow chart proof for the following: If 5+m 6 = 1, ten m = 11.
6 Write a 2-column or flow chart proof for the following: If 144 = 12 k + 5, ten 17 = k.
7 Write a 2-column or flow chart proof for the following: If m 1 = 100, ten m 1 = m
8 Write a 2-column or flow chart proof for the following: If m 4 = 50, wy does te m 4 = m 8?
9 Write a 2-column or flow chart proof for the following: If m 3 = 140, wy does te m 3 = m 5?
10 Write a 2-column or flow chart proof for the following: If m 2 = 30, wy does te m 2 = m 8?
11 Write a 2-column or flow chart proof for the following: If m 1 = 125, ten m 2 =
12 Write a 2-column or flow chart proof for the following: If m AMP = 40 and m AMF = 70, ten m PMF = 30.
13 Write a 2-column or flow chart proof for the following: If GM = 10 and GC = 27, ten MC = 17.
14 Write a 2-column or flow chart proof for the following: If m PQR = 4x and m RQS = 2x, ten m PQS = 6x.
15 Write a 2-column or flow chart proof for the following: If HI = 2IJ, ten HJ = 3IJ.
16 Fill in the following 2-column proof:
17 Fill in the following 2-column proof:
18 Fill in the following 2-column proof:
19 Fill in the following 2-column proof:
20 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
21 Fill in the following 2-column proof: Statements Reasons
22 Fill in the following 2-column proof:
23 Fill in the following 2-column proof: Prove: AC DF Statements Reasons
24 Fill in the following 2-column proof:
25 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
26 Make corrections to the following 2-column proof: Statements 1. m TLC = 3f 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 Symmetric Property of Equality 6. 8 = 2f Addition P.O.E = 2f 7. Subtraction P.O.E = f 8. Multiplication P.O.E. 9. f = 9 9. Reflexive P.O.E.
27 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
28 Make corrections to the following 2-column proof: Statements 1. m TOP = 2z 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 Substitution P.O.E. 6. 2z + 18 = 4z 6. Addition P.O.E = 2z 7. Subtraction P.O.E = z 8. Division P.O.E. 9. z = 9 9. Transitive P.O.E.
29 Make corrections to the following 2-column proof: Statements Reasons 1. L is supplementary to M. 1. Given 2. L + M = Definition of Complementary Angles 3. L P 3. Given 4. m L = m P 4. Definition of Congruent Segments 5. P M = Symmetric Property of Congruence 6. M N 6. Given 7. M = N 7. Definition of Supplementary Angles 8. m P + m N = Angle Addition Postulate 9. P is congruent to N 9. Definition of Supplementary Angles
30 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 Given 4. 3 and 4 are complementary 4. Linear Pairs are Complementary 5. m 1 + m 2 = Angle Addition Postulate 6. m 3 + m 4 = Addition Property of Equality 7. m 1 + m 2 + m 3 + m 4 = Addition Property of Congruence
31 Make corrections to the following 2-column proof: Statements 1. HKJ is a rigt angle 1. Given Reasons 2. HKJ = 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 = Symmetric Property of Congruence 8. 2m IKJ = Multiplication Property of Equality 9. m IKJ = Subtraction Property of Congruence 10. IKJ is a straigt angle 10. Definition of a Corner Angle
32 Make corrections to the following 2-column proof: Reasons 1. 2 and 3 are supplementary 1. Given Statements 2. m 2 + m 3 = Complementary Angles Property 3. 1 = 3 3. Given 4. 1 = 3 4. Definition of Congruent Segments 5. m 2 + m 3 = Substitution Property of Congruence 6. 2 and 1 are congruent 6. Definition of Congruent Angles
right angle an angle whose measure is exactly 90ᴼ
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