Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
If-Then Worksheet Name _______________________________ Geometry – After the Chapter 4 Quiz Given the “if” statement, write the “then” statement and reason. 1. If ∠1 ≅ ∠2, then ___________________________. Reason: ____________________ then ___________________________. Reason: ____________________ 2. If 2AB = 10, 3. If ∠1 and ∠2 are vertical angles, then ___________________________. Reason: ____________________ 4. If ∠1 and ∠2 are complementary, then ___________________________. Reason: ____________________ ̅̅̅̅ is the altitude of ∆𝐴𝐵𝐶, 5. If 𝐴𝐷 then ___________________________. Reason: ____________________ 6. If 𝑚∠𝐴 = 30 and 𝑚∠𝐴 + 𝑚∠𝐵 = 90, then ___________________________. Reason: ____________________ 7. If ∠1 and ∠2 are supplementary, then ___________________________. Reason: ____________________ 8. If ∠4 ≅ ∠1 with ∠3 supplementary to ∠4 and ∠2 supplementary to ∠1, then ___________________________. Reason: ____________________ 9. If ∠1 ≅ ∠2 and ∠2 ≅ ∠𝐵, then ___________________________. Reason: ____________________ 10. If ∠𝐵𝐴𝐶 and ∠𝐶𝐴𝐷 are a linear pair, then ___________________________. Reason: ____________________ 11. If x//y, then ___________________________. Reason: ____________________ 1 2 ̅̅̅̅ at D, 12. If ⃡𝑋𝑌 bisects 𝐶𝐵 then ___________________________. Reason: ____________________ ̅̅̅̅ , 13. If J is the midpoint of 𝐻𝐾 then ___________________________. Reason: ____________________ then ___________________________. Reason: ____________________ then ___________________________. Reason: ____________________ then ___________________________. Reason: ____________________ ̅̅̅̅̅ , ̅̅̅̅ ⊥ 𝐴𝑀 14. If 𝐿𝑀 15. If AB = XY, 16. If 𝑚∠𝐶 = 90°, ̅̅̅̅ , 17. If ∆𝐴𝐵𝐶 with ̅̅̅̅ 𝐴𝐵 ≅ 𝐵𝐶 then ___________________________. Reason: ____________________ then ___________________________. Reason: ____________________ 18. If m||n, n m ̅̅̅̅ , 19. If ∆𝐴𝐵𝐶 is isosceles with ̅̅̅̅ 𝐴𝐵 ≅ 𝐵𝐶 then ___________________________. Reason: ____________________ 20. If l is a transversal and ∠1 ≅ ∠2, then ___________________________. 2 1 Reason: ____________________ Answers: 1. … then 𝑚∠1 = 𝑚∠2. Def of congruence 2. … then AB = 5. Division Property 3. … ∠1 ≅ ∠2. VA Theorem 4. … 𝑚∠1 + 𝑚∠2 = 90. Def of complementary ̅̅̅̅ . 5. … ̅̅̅̅ 𝐴𝐷 ⊥ 𝐵𝐶 Def. of altitude 6. … 30 + 𝑚∠𝐵 = 90. Substitution 7. … 𝑚∠1 + 𝑚∠2 = 180. Def. of supplementary 8. … ∠3 ≅ ∠2. Supplements of congruent angles theorem 9. … ∠1 ≅ ∠𝐵. Transitive (substitution) 10. … ∠𝐵𝐴𝐶 & ∠𝐶𝐴𝐷 are supplementary. LP Postulate 11. … ∠1 & ∠2 are supplementary. CIA Theorem (or Interior Supplements) 12. … CD ≅ DB. Def Segment Bisector ̅̅̅ ≅ ̅̅̅ 13. … ̅𝐻𝐽 𝐽𝐾 . Def of Midpoint 14. … ∠𝑀 is a right angle. Def of Perpendicular 15. … ̅̅̅̅ 𝐴𝐵 ≅ ̅̅̅̅ 𝑋𝑌. Def of congruence 16. … ∠𝐶 is a right angle. Def of right angle 17. … ∆𝐴𝐵𝐶 is isosceles. Def of Isosceles Triangle 18. … ∠2 ≅ ∠3. CA Postulate 19. … ∠𝐴 ≅ ∠𝐶. Isosceles Triangle Theorem 20. … x||y. Converse AIA Theorem