Homework Help is Here – Start Your Trial Now!
Math
Geometry
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.
Chapter3: Triangles
Section3.1: Congruent Triangles
Problem 6E: In a right triangle, the sides that form the right angle are the legs; the longest side opposite the...
See similar textbooks
icon
Related questions
Question
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Basics (types, similarity, etc)
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS