GEO: 2-5 QC (algebraic proof)

1. Which property is used to justify the following statement? ΔABC≅ΔABC Substitution Property of ≅ Transitive Property of ≅ Reflexive Property of ≅ Symmetric Property of ≅ 2. Which property is used to justify the following statement? If a = b and b = c, then a = c. Symmetric Property of = Reflexive Property of = Transitive Property of = Substitution Property of = 3. Which property is used to justify the following statement? If EF ≅ HG, then HG ≅ EF. Symmetric Property of ≅ Reflexive Property of ≅ Transitive Property of ≅ Substitution Property of ≅ 4. Which property is used to justify the following statement? Let a = 5 and b = 16. Simplifying 2ab, we arrive at 2(5)(16) = 160. Substitution Property of = Symmetric Property of = Reflexive Property of = Transitive Property of = 5. Which property justifies the work from step 1 to step 2 below? Step 1: 5x + 9 = 16 Step 2: 5x = 7 Subtraction Property of = Multiplication Property of = Addition Property of = Division Property of = 6. Which property justifies the work from step 1 to step 2 below? Step 1: 7m = 49Step 2: m = 7 Subtraction Property of = Multiplication Property of = Addition Property of = Division Property of = 7. Which property justifies the work from step 1 to step 2 below? Step 1: -8 + 6n = 4Step 2: 6n = 12 Subtraction Property of = Multiplication Property of = Addition Property of = Division Property of = 8. Which property justifies the work from step 1 to step 2 below? Step 1: -x = 15Step 2: x = -15 Subtraction Property of = Multiplication Property of = Addition Property of = 9. Fill in the missing parts of the proof by dragging the justifications to the correct step of the proof. 1. 4( x - 3 ) = 36 2. 4x - 12 = 36 not used: 3. 4x = 48 4. x = 12 Subtraction Property of = ? Division Property of = ? Distributive Property ? Addition Property of = ? Given ? 10. Fill in the missing parts of the proof by dragging the justifications to the correct step of the proof. 1. -6( x - 2 ) = 24 2. -6x + 12 = 24 not used: 3. -6x = 12 4. x = -2 Multiplication Property of = ? Given ? Subtraction Property of = ? Division Property of = ? Distributive Property ? 11. Fill in the missing parts of the proof by dragging the justifications to the correct step of the proof. 1. m∡CAB = 72 3. 2x + 4x + 6 = 72 2. m∡CAD+m∡DAB=m∡CAB 4. 6x + 6 = 72 5. 6x = 66 6. x = 11 not used: Transitive Property of = ? Given ? Subtraction Property of = ? Division Property of = ? Substitution Property of = ? Simplify ? Angle Add Postulate ? |

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