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Contents EXAMPLE 3 Plan a proof involving pairs of triangles Use the given information to write a plan for proof. GIVEN 21= 2, 23 4 PROVE ABCE = ADCE Solution In ABCE and ADCE, you know Z1 = 2 and CE = CE. If you can show that CB = CD, you can use the SAS Congruence Postulate. To prove ethat CB = CD, you can first prove that A CBA = A CDA. You are given Z1=2 and Z3 = 4. CA = CA by the Reflexive Property. You can use the ASA Congruence Postulate to prove that A CBA = A CDA. Plan for Proof Use the ASA Congruence Postulate to prove that A CBA = A CDA. Then state that CB= CD. Use the SAS Congruence Postulate to prove that A BCE = ADCE.

Contents EXAMPLE 3 Plan a proof involving pairs of triangles Use the given information to write a plan for proof. GIVEN 21= 2, 23 4 PROVE ABCE = ADCE Solution In ABCE and ADCE, you know Z1 = 2 and CE = CE. If you can show that CB = CD, you can use the SAS Congruence Postulate. To prove ethat CB = CD, you can first prove that A CBA = A CDA. You are given Z1=2 and Z3 = 4. CA = CA by the Reflexive Property. You can use the ASA Congruence Postulate to prove that A CBA = A CDA. Plan for Proof Use the ASA Congruence Postulate to prove that A CBA = A CDA. Then state that CB= CD. Use the SAS Congruence Postulate to prove that A BCE = ADCE.

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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Guided Practice #2 In Example 3, does it matter how far from point N you place a stake at point K? Explain.
Transcribed Image Text:Guided Practice #2 In Example 3, does it matter how far from point N you place a stake at point K? Explain.
Table of Contents EXAMPLE 3 Plan a proof involving pairs of triangles Use the given information to write a plan for proof. GIVEN 21= 2, 23 4 3 PROVE A BCE = A DCE Solution In ABCE and ADCE, you know Z1= Z2 and CE = CE. If you can show that CB = CD, you can use the SAS Congruence Postulate. To prove that CB = CD, you can first prove that A CBA =A CDA. You are given Z1 = 2 and Z3 = Z4. CA = CA by the Reflexive Property. You can use the ASA Congruence Postulate to prove that A CBA = A CDA. Plan for Proof Use the ASA Congruence Postulate to prove that A CBA = A CDA. Then state that CB = CD. Use the SAS Congruence Postulate to prove that A BCE = A DCE.
Transcribed Image Text:Table of Contents EXAMPLE 3 Plan a proof involving pairs of triangles Use the given information to write a plan for proof. GIVEN 21= 2, 23 4 3 PROVE A BCE = A DCE Solution In ABCE and ADCE, you know Z1= Z2 and CE = CE. If you can show that CB = CD, you can use the SAS Congruence Postulate. To prove that CB = CD, you can first prove that A CBA =A CDA. You are given Z1 = 2 and Z3 = Z4. CA = CA by the Reflexive Property. You can use the ASA Congruence Postulate to prove that A CBA = A CDA. Plan for Proof Use the ASA Congruence Postulate to prove that A CBA = A CDA. Then state that CB = CD. Use the SAS Congruence Postulate to prove that A BCE = A DCE.
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