|
Complete the following two column proofs. Remember, to ask yourself what you have been given and what you are asked to prove. This will help you to determine which theorems or postulates to use. Drag the correct name to the following postulates. If corresponding angles are congruent then two lines are parallel. If two parallel lines are cut then corresponding angles are congruent. Converse of Corresponding Angles Postulate ? Corresponding Angles Postulate ? Which is the correct reasonfor statement #2 Given: ∡1 ≅ ∡2Prove: p // r 1 2 statements ∡1 ≅ ∡2 p // r not used = Corresponding ∡'s Postulate ? Converse of Corresponding ∡'s Post ? p r reasons given 1 2 Which is the correct reasonfor statement #2Given: p // rProve: ∡1 ≅ ∡2 1 2 statements ∡1 ≅ ∡2 p // r not used = Same-Side Interior ∡'s ? p Corresponding ∡'s Post ? r reasons given 1 2 Multiple Choice Given: ∡1 ≅ ∡2Prove: p || r statements not used: ∡1 ≅ ∡2 p || r Alternating Exterior Angle Thm ? Converse of Alternating Exterior Angle Thm ? p r reasons given 1 2 Multiple ChoiceGiven: p || r Prove: ∡1 ≅ ∡2 not used: statements ∡1 ≅ ∡2 p // r Converse of Alternating Exterior Angle Thm ? Alternating Exterior Angle Thm ? p r reasons given 1 2 Multiple ChoiceGiven: p // r Prove: ∡1 ≅ ∡2 A. Alternating Interior Angle Thm B. Alternating Exterior Angle Thm C. Converse of Alternating Exterior Angle Thm. statements ∡1 ≅ ∡2 p // r p r reasons given 1 2 Multiple ChoiceGiven: p || r Prove: ∡1 + ∡2 =180 not used = ∡1 + ∡2 =180 statements p // r Converse of Same Side Interior ∡'s ? p Same Side Interior ∡'s Thm ? r reasons given 1 2 Multiple Choice Given: ∡1 + ∡2 =180Prove: p || r not used = ∡1 + ∡2 =180 statements p // r Same Side Interior ∡'s Thm ? Converse of Same Side Interior ∡'s ? p r reasons given 1 2 Which is the correct reasonfor statement #2Given: p // rProve: ∡1 ≅ ∡2 1 2 statements ∡1 ≅ ∡2 p // r not used = Alternate Interior ∡'s ? p Alternate Exterior ∡'s ? r reasons given 1 2 Which is the correct reasonfor statement #2Given: ∡1 ≅ ∡2Prove: p // r 1 2 not used = statements ∡1 ≅ ∡2 p // r Alternate Exterior ∡'s Thm ? Converse of Alternate Exterior ∡'s ? p r reasons given 1 2 Which is the correct reasonfor statement #2 Given: ∡1 ≅ ∡2Prove: p // r 1 2 statements ∡1 ≅ ∡2 p // r not used = Corresponding ∡'s Postulate ? Converse of Corresponding ∡'s Post ? p r reasons given 1 2 |