Geometry A Unit 4 Day 5 HW Help In General, proofs in Unit 4 go like this… 1. Use given statements and known theorems to determine three sets of congruent corresponding parts in the two triangles. 2. Use SSS, SAS, ASA, AAS or HL as the reason for saying two triangles are congruent. 3. If you are asked to prove that other corresponding parts are congruent, then once you’ve completed the two steps above, you can use the reason CPCTC to do so. p. 233 #14 Hint: Use the general plan above and the clues given to you in the text book. p. 233 #15 Hint: The proof is done in 2 parts. We want to prove that AFB EFD, but getting three sets of congruent corresponding parts is impossible unless we first show AFC EFC (Steps 1-4). Once we have that, we can take advantage of the fact that one pair of corresponding parts in triangles AFC EFC (AF and EF) are also corresponding parts of the triangles we ultimately are trying to prove are congruent. 17. Statement 1. ___________________ Reason 1. __________________ 2. ___________________ 2. ___________________ 3. T = 90o ; R = 90o 3. ___________________ 4. __________________ 4. Transitive 5. ___________________ 5. 6. ___________________ 6. _____________________ Alternate Interior Angles 7. ____________________ 7. ____________________ 8. _____________________ 8. _____________________ See next page for help on #18 18. 1. _________________________ 1. __________________________ 2. _________________________ 2. __________________________ 3. BDC = ADB = 90o 3. Lines form 4 = 90o angles 4. _________________________ 4. __________________________ 5. _________________________ 5. _________________________ 6. _________________________ 6. 7. ___BAD = ___BCD SAS 7. ______________________ 8. ABD + BDA + BAD = 180o 8. ______________________ 9. ___________________________ 9. _____Substitution__________ 10. ____________________________ 10. _________________________ 11. ____________________________ 11. Definition of complementary