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Cat out the statemenrs onl teasons grven here and organize then before uriting in Your stepS n the proc Statements Reasons AB + BC = DE+ EF Gwen BC = EF Gwen AB + BC AC and DE + EF-DF Subtraction PrOParty AB = DE Substitution Property AC = DF Segnent Additon Postulate Cut it Out: Writing a Two-Colunn Proof (Segnent Addition) Reviev the nlomaton that rou hove leorned about line segnents ond use that afemation to create o colurh Proof (Rariaw the segnent adtion rostulote ond the propartus of etualir kefore begnnng this Prove that iP AC = DF and AB= DE, then BC = EF. %3D Gwen: AC = DF and AB- DE Prove: BC = EF Statenents Reasons

Cat out the statemenrs onl teasons grven here and organize then before uriting in Your stepS n the proc Statements Reasons AB + BC = DE+ EF Gwen BC = EF Gwen AB + BC AC and DE + EF-DF Subtraction PrOParty AB = DE Substitution Property AC = DF Segnent Additon Postulate Cut it Out: Writing a Two-Colunn Proof (Segnent Addition) Reviev the nlomaton that rou hove leorned about line segnents ond use that afemation to create o colurh Proof (Rariaw the segnent adtion rostulote ond the propartus of etualir kefore begnnng this Prove that iP AC = DF and AB= DE, then BC = EF. %3D Gwen: AC = DF and AB- DE Prove: BC = EF Statenents Reasons

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Cut out the statemenrs and reasons given here and organize them before writing in vour steps n the procP below Statements Reasons AB + BC = DE + EF Given BC = EF Given AB + BC = AC and DE + EF DF Subtraction Property AB = DE Substitution Property AC = DF Segment Addition Postulate Cut it Out: Writing a Two-Column Proof (Segment Additian) Review the nPamation that you have learned about line segnents and use that nformation ta create a tMo- colunh Proof (Raview the segnent addition pastulate and the propertias of equality before iegnnng this proof) Prove that IP AC = DF and AB = DE, then BC = EF. B Gwen: AC = DF and AB= DE Prove: BC = EF E. Statements Reasons L. 2. 2. 3. 3. 4. 5. 5. Name: Date: Per: ANGLE ADDITION Cut out the Pive reasons given here and organ:ze then sefore wrt ng in rour steps in the proof below. Gven Substitut san Proparty Substitut ion Property Angle Addit ion Postulate RePlerive Propertr Cut it Out: Simple Proof with Angle Addition Review the inPormation that You have learned about angles and use that infornation to justify each step Por the proor. (Review the angle addition pastulate and the prop erties of equality before beginning this proof) Justify the steps Por the proof af the canditional iP mal =m.3 and we2 == met, then maABC - maDEF. Given: mal = ma3 and ma2 = ma4 Prove: meABC = MaDEF Statenents Reasons mel = ma3 1. ma2 - ma4 2. me1+ ma2 mal + m2 2. 3. 3 mal + ma2 = m3 + ma4 3. 4. mel + ma2 maABC 4. ma3 + ma4 = meDEF 5. meABC = meDEF 5. Cut out the statenents and reasens given here ané organize then befare writ ing in Your steps in Fhe proor belou. Statenents Reasons meABC = mal + ma2 and maDEF = ma3 + m4 Given mel + ma2 - ma3 + ma4 Subtraction Property maABC = maDEF and mal = ma3 Angle Additian Postulate me2 ma4 Substitution Property mal + ma2 = mal+ met Substitution Property Cut it Out: Writing a Two-Column ProoP (Angle Addition) Review the infornat ion that vou have learned about lne segnents and use that infarnat ion ta create a two- colure proof. (Revieu the angle addition postulate ani the properties of equalit before beginning this proof.) Prove that if maABC = meDEF and mal = m-3, then me2 = m4. A Given: mARC - MDEF and m1m Prove: me2- ma4 Statemants Reasans I. 2. 3. 3. 4. 5. 5.
Transcribed Image Text:Cut out the statemenrs and reasons given here and organize them before writing in vour steps n the procP below Statements Reasons AB + BC = DE + EF Given BC = EF Given AB + BC = AC and DE + EF DF Subtraction Property AB = DE Substitution Property AC = DF Segment Addition Postulate Cut it Out: Writing a Two-Column Proof (Segment Additian) Review the nPamation that you have learned about line segnents and use that nformation ta create a tMo- colunh Proof (Raview the segnent addition pastulate and the propertias of equality before iegnnng this proof) Prove that IP AC = DF and AB = DE, then BC = EF. B Gwen: AC = DF and AB= DE Prove: BC = EF E. Statements Reasons L. 2. 2. 3. 3. 4. 5. 5. Name: Date: Per: ANGLE ADDITION Cut out the Pive reasons given here and organ:ze then sefore wrt ng in rour steps in the proof below. Gven Substitut san Proparty Substitut ion Property Angle Addit ion Postulate RePlerive Propertr Cut it Out: Simple Proof with Angle Addition Review the inPormation that You have learned about angles and use that infornation to justify each step Por the proor. (Review the angle addition pastulate and the prop erties of equality before beginning this proof) Justify the steps Por the proof af the canditional iP mal =m.3 and we2 == met, then maABC - maDEF. Given: mal = ma3 and ma2 = ma4 Prove: meABC = MaDEF Statenents Reasons mel = ma3 1. ma2 - ma4 2. me1+ ma2 mal + m2 2. 3. 3 mal + ma2 = m3 + ma4 3. 4. mel + ma2 maABC 4. ma3 + ma4 = meDEF 5. meABC = meDEF 5. Cut out the statenents and reasens given here ané organize then befare writ ing in Your steps in Fhe proor belou. Statenents Reasons meABC = mal + ma2 and maDEF = ma3 + m4 Given mel + ma2 - ma3 + ma4 Subtraction Property maABC = maDEF and mal = ma3 Angle Additian Postulate me2 ma4 Substitution Property mal + ma2 = mal+ met Substitution Property Cut it Out: Writing a Two-Column ProoP (Angle Addition) Review the infornat ion that vou have learned about lne segnents and use that infarnat ion ta create a two- colure proof. (Revieu the angle addition postulate ani the properties of equalit before beginning this proof.) Prove that if maABC = meDEF and mal = m-3, then me2 = m4. A Given: mARC - MDEF and m1m Prove: me2- ma4 Statemants Reasans I. 2. 3. 3. 4. 5. 5.
2. Complete the two-column proof below. Given: mz1 = m24 and m22 = mz3 Prove: MY0E = m²EOU U Statements Reasons 1. mz1 = m24 and m22 = m23 1. Given 2. mz1 + m22 = mzYoe 2. m23 + mz4 = M2EOU 3. m23 + m24 = m¿Y0e 3. 4. 4.
Transcribed Image Text:2. Complete the two-column proof below. Given: mz1 = m24 and m22 = mz3 Prove: MY0E = m²EOU U Statements Reasons 1. mz1 = m24 and m22 = m23 1. Given 2. mz1 + m22 = mzYoe 2. m23 + mz4 = M2EOU 3. m23 + m24 = m¿Y0e 3. 4. 4.
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