Prove
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Activity 3-3 Mini-Proofs Ch. 3: Parallel and Perpendicular Lines 1) Given: l m, and 1 3 Prove: r p 2) Given: 1 2, 1 3 Prove: XY WV 3) Given: m1+m4 180o Prove: r s 4) Given: Name: _______________________________________________________ Prove each of the following: Statements Statements Statements Reasons Reasons Reasons Statements Reasons Statements Reasons AB CD, 1 2, and 3 4 Prove: BC DE 5) Given: l m, and 9 7 Prove: l n 6) Given: 1 and 3 are supplementary Prove: m n Statements Reasons 3-3 Homework: Pg. 167 (24-36, 43-53) Name: ________________________________________________ Directions: Use this space to complete the assignment above. Show all work. 24) ________________________________________ 25) ________________________________________ 26) ________________________________________ 27) ________________________________________ 28) ________________________________________ 29) ________________________________________ Parallel Lines Postulate/Theorem 30) _______________ ___________________________________ 32) _______________ ___________________________________ 33) _______________ ___________________________________ 34) _______________ ___________________________________ 35) _______________ ___________________________________ 36) Draw a picture 1st. You can prove the lines parallel by the _________________________________________________. 43) _____ 44) _____ Draw a picture to help. Parallel Lines? If parallel, by which postulate? 46) _______________ ___________________________________ 47) _______________ ___________________________________ 48) _______________ ___________________________________ 49) _______________ ___________________________________ 50) _______________ ___________________________________ 51) _______________ ___________________________________ 52) _______________ ___________________________________ 53) _______________ ___________________________________ 45) x = ______ Activity 3-3: Mini-Proofs 1) Problems and Answers Given: l m, and 1 2 Prove: r p l m 1 2 1 3 2 3 r p Given: 2) Given Corresponding Angles Postulate Given Transitive Property Converse of Alternate Exterior Angles Theorem 1 2, 1 3 Prove: XY WV Given: 1 2, 1 3 Prove: XY WV 1 2 1 3 2 3 XY WV Given Given Transitive Property Converse of Alternate Interior Angles Theorem 3) Given: Prove: m1+m4 180o r s m1 m4 180 1 3 m1 m3 m3 m4 180o r s Given o 4) Vertical Angles Theorem Definition of Congruent Substitution Property Converse of Same-Side Interior Angles Theorem Given: AB CD, 1 2, and 3 4 Prove: BC DE AB CD 1 3 1 2, 3 4 2 4 Given Corresponding Angles Postulate Given Transitive Property BC DE 5) Given: l m, and 9 7 Prove: l n l m 1 9 9 7 1 7 l n 6) Converse of Corresponding Angles Postulate Given: Prove: Given Alternate Exterior Angles Theorem Given Transitive Property Converse of Alternate Exterior Angles Theorem 1 and 3 are supplementary m n 1 and 3 are supplementary 2 and 3 are supplementary 1 2 Given Linear Pair Theorem Congruent Supplements m n Theorem Converse of Corresponding Angles Postulate Group 1 starts with these 4 proofs while group 2 starts with proofs around room. Switch after 10 minutes, but group 2 attempts challenge proof. Sowa - Group 1 1) 2 4 c d Given Converse of Corresponding Angles Postulate 2) 2 3 a b Given Converse of Alternate Interior Angles Theorem 3) 1 4 f g Given Converse of Alternate Exterior Angles Theorem 4) m1 m2 180 s t Given o Converse of Same-Side Interior Angles Theorem Thompson - Group 2 Find the value of a that guarantees r is parallel to s 2) 3) 4)
