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Introduction: to this lesson, you are going to prove statements on statements on congruent triangles. i se it is very important that you have already mastered the way of identitying the congruent %3D !angle and congruent sides of two congruent triangles. i In preparation for the lesson, let us have first this activity. ! Activity 1: For every statement, deduce a conclusion and the corresponding reason. 1. AC bisects z BAD 3. AT =3 m Conclusion: Reason: 4. MLABC = 40° meCBD = 40° Conclusion: Reason: (Ans. LBAC LCAD) (Ans. Def. of L bisector) Conclusion: (Ans. AT = AT) (Ans. Reflexive) Reason: 2. AABC is an equilateral triangle Conclusion: Reason: (Ans. AB = BC = AC) (Ans. Def. of equilateral A) (Ans. LABC LCBD) (Ans. Def. of LsS) 5. A ABC = A DEF

Introduction: to this lesson, you are going to prove statements on statements on congruent triangles. i se it is very important that you have already mastered the way of identitying the congruent %3D !angle and congruent sides of two congruent triangles. i In preparation for the lesson, let us have first this activity. ! Activity 1: For every statement, deduce a conclusion and the corresponding reason. 1. AC bisects z BAD 3. AT =3 m Conclusion: Reason: 4. MLABC = 40° meCBD = 40° Conclusion: Reason: (Ans. LBAC LCAD) (Ans. Def. of L bisector) Conclusion: (Ans. AT = AT) (Ans. Reflexive) Reason: 2. AABC is an equilateral triangle Conclusion: Reason: (Ans. AB = BC = AC) (Ans. Def. of equilateral A) (Ans. LABC LCBD) (Ans. Def. of LsS) 5. A ABC = A DEF

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.CT: Test
Problem 18CT: Complete all missing statements and reasons in the following proof. Given: RUVRV and 13 Prove: STU...
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5. What is divided by 47 A A. B. 5 D. Introduction: In this lesson, you are going to prove statements on statements on congruent triangles. i So it is very important that you have already mastered the way of identitying the congruent %3D !angle and congruent sides of two congruent triangles. i In preparation for the esson, let us have first this activity. Activity 1: For every statement, deduce a conclusion and the corresponding reason. 1. AC bisects z BAD 3. AT =3 m Conclusion: (Ans. ZBAC = LCAD) (Ans. Def. of z bisector) Reason: 2. AABC is an equilateral triangle Conclusion: Conclusion: Reason: 4. MLABC = 40° meCBD Conclusion: Reason: (Ans. AT = AT) (Ans. Reflexive) = 40° (Ans. LABC LCBD) (Ans. Det. of s L's) (Ans. AB a BC = AC) (Ans. Def. of equilateral A) Reason: 5. A ABC = A DEF Conclusion: (Ans. Corresponding parts are =) (Ans. CPCTC or corresponding parts of = A'sare congruent) Reason: - with CamScanner
Transcribed Image Text:5. What is divided by 47 A A. B. 5 D. Introduction: In this lesson, you are going to prove statements on statements on congruent triangles. i So it is very important that you have already mastered the way of identitying the congruent %3D !angle and congruent sides of two congruent triangles. i In preparation for the esson, let us have first this activity. Activity 1: For every statement, deduce a conclusion and the corresponding reason. 1. AC bisects z BAD 3. AT =3 m Conclusion: (Ans. ZBAC = LCAD) (Ans. Def. of z bisector) Reason: 2. AABC is an equilateral triangle Conclusion: Conclusion: Reason: 4. MLABC = 40° meCBD Conclusion: Reason: (Ans. AT = AT) (Ans. Reflexive) = 40° (Ans. LABC LCBD) (Ans. Det. of s L's) (Ans. AB a BC = AC) (Ans. Def. of equilateral A) Reason: 5. A ABC = A DEF Conclusion: (Ans. Corresponding parts are =) (Ans. CPCTC or corresponding parts of = A'sare congruent) Reason: - with CamScanner
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