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Geometry Assignment 5F Ordering Statements in Proofs Name _____________________________ Period ________ Date ________________ For questions 1-5, decide which congruence postulate, if any, you can use to prove that the given triangles are congruent. 6. Given the diagram below. F K Write the congruence statement and identify the postulate. 1. BDC ______ by _______ B J F H G C D 2. Which corresponding parts need to be congruent in order to prove FJH GJK by SSS? G E a. HJF KJG HGF ______ by _______ G b. FJ GJ c. FH GK H 3. F d. FHJ GKJ E FGJ ______ by _______ 7. Given the diagram below. A 4. BKQ ______by _______ B E F C D If BC EF , which congruence postulate/theorem justifies that ABC DEF ? a. HL b. SAS 5. XYZ ______ by _______ c. SSS d. AAS e. ASA Revised 10/23/2011 page 1 of 3 Printed 10/30/2012 Geometry Assignment 5F Ordering Statements in Proofs Name _____________________________ Period ________ Date ________________ THE FOLLOWING PROOF IS OUT OF ORDER. THE FOLLOWING PROOF IS OUT OF ORDER. Given: FH bisects GFJ and GHJ Given: AB AD and DE AD , BC EC Prove: GFH JFH Prove: ABC DEC G F 2 1 E 3 4 A H C D J B Statements 1. 2 1 3 4 Reasons 1. Definition of angle bisector Statements 1. ACB DCE Reasons 1. Vertical Angles Are congruent 2. GFH JFH 2. ASA 2. A D 3. FH bisects GFJ and GHJ 3. Given 2. all right angles are congruent (Euclid) 4. FH FH 3. AB AD DE AD BC EC 3. Given 4. Reflexive property 4. ABC DEC 4. AAS 5. A and D are right angles 5. Definition of perpendicular 8. 9. 10. What statement must go last? What statement is generally stated first? 12. What statement must go last? 13. Can statement 2 go before statement 5? Can statement 4 go first? _________ Explain. Explain. 11. What is a correct order for the statements in the proof? 3 ______ ______ ______ 14. What is a correct order for the statements in the proof? 3 _____ _____ 1 _____ Revised 10/23/2011 page 2 of 3 Printed 10/30/2012 Geometry Assignment 5F Ordering Statements in Proofs Name _____________________________ Period ________ Date ________________ THE FOLLOWING PROOF IS OUT OF ORDER. Given: MH MK ; HJ KJ MJH and MJK are right angles 19. Given: HJ KM , MJH JMK Prove: MJH JMK M Prove: H K FILL IN THE MISSING INFORMATION IN THE FOLLOWING PROOF. J H M H J K Statements Reasons Statements 1. MJH MJK Reasons 1. HL 1. HJ KM , MJH JMK 1. Given 2. MJH MJK 2. All right angles are congruent (Euclid) 2. MJ JM 2. 3. H K 3. CPCTC 3. MJH JMK 3. 4. MH MK ; HJ KJ MJH and MJK are right angles 4. Given 15. Given a b. m1 = (5a)o and m2 = (2a + 12)o 20. Can reason 3 go before reason 1? _____________ What term best describes angles 1 and 2? Explain. What are the measures of angles 1 and 2? . 16. What statement must go last? 17. Can statement 2 go before statement 4? _____________ 1 a b 2 t Explain. 21. 18. K Which segments are skew to AB ? F What is a correct order for the statements in the proof? E H G ______ ______ ______ ______ B A Revised 10/23/2011 page 3 of 3 C D Printed 10/30/2012