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Given the information above can you conclude that r // s ? If so, why? 62o Yes, r // s by the Converse of AIA Theorem Yes, r // s by the Converse of AEA Theorem Yes, r // s by the AEA Theorem No, not enough info to prove r // s t 4 1 3 5 7 6 62o r s Given the information above can you conclude that r // s ? If so, why? 132o Yes, r // s by the Converse of SSIA Theorem Yes, r // s by the Converse of AIA Theorem Yes, r // s by the SSIA Theorem Not parallel because not supplementary angles. t 2 1 58o 3 7 6 8 r s Given the information above can you conclude that a // b? If so, why? b a 124o Yes, a // b by the Converse of AIA Theorem Yes, a // b by the Converse of AEA Theorem Yes, a // b by the AIA Theorem No, not enough info to prove a // b 2 c 1 3 5 7 124o 8 If ∡1 ≅⊾7 what can you conclude? b a 2 4 1 3 5 7 6 a b a // b ⊾3 ≅⊾6 nothing 8 Given the information above can you conclude that a // b? If so, why? Given m∡4 ≅ m∡1 b a a // b by the Converse of AIA Theorem a // b by the Vertical Angle Theorem a // b by the AIA Theorem No, not enough info to prove a // b 2 4 1 3 5 7 6 8 c If m∡3 + m∡6 = 180 then I can conclude a // b by which theorem? a b Converse of the Corresponding ⊾ Post. Converse of the Same Side Interior Angle Theorem Converse of the AEA Theorem Converse of the AIA Theorem 2 4 1 3 5 7 6 8 If m∡3 + m⊾6 = 200, what can be concluded? By what theorem? a b a // b, by the SSIA Theorem a // b, by the Converse of the SSIA Theorem a // b, by the Converse of the AIA Theorem lines a and b are not parallel 2 4 1 3 5 7 6 8 Given the information pictured above and the fact that x = 14, can you prove that line a // b? If so, by what theorem? a b No, a is not parallel to b. Yes, both angles = 44o by the Converse AIA Thm a//b. Yes, both angles = 40o by the Converse AEA Thm a//b. Yes, both angles = 40o by the AEA Thm a//b. (4x -16)o 4 1 3 5 7 8 (3x - 2)o If a // b then ∡3 and ∡5 are: a b 2 4 1 3 5 7 Complementary Congruent Straight Supplementary 6 8 If a // b then ∡4 and ∡5 are: a b 2 4 1 3 5 7 Complementary Congruent Straight Supplementary 6 8 If m∡2 ≅m∡5 then what can I conclude about line a and b? a Not enough info to determine anything They are congruent They are parallel b t 2 4 1 3 5 7 6 8 If m∡5 ≅m∡4 then what can I conclude about line a and b? a Not enough info to determine anything They are congruent They are parallel b t 2 4 1 3 5 7 6 8 Given the information pictured above and the fact that x = 11, can you prove that line a // b? If so, by what theorem? a b No, a is not parallel to b. Yes, both angles are ≅, by the Converse AIA Thm a//b. Yes, both angles are NOT ≅, by the Converse AEA Thm a//b. Yes, angles are supplementary, by the Converse SSIA a//b. (6x + 9)o (9x + 6)o 4 1 3 7 8 5 |