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S. Given: AABC with AB AC 8 D Prove: ZB C Statements Reasons 1. Draw the bisector of ZBAC and let this bisector intersect BC at D. 1. Every angle has exactiy one bisector. 2. 2. ZBAD = CAD 3. Reflexive Property 3. AD E AD 4. 4. AB AC 5. A BAD ACAD 6. ane 6. ZB ZC FAMERA 5.

S. Given: AABC with AB AC 8 D Prove: ZB C Statements Reasons 1. Draw the bisector of ZBAC and let this bisector intersect BC at D. 1. Every angle has exactiy one bisector. 2. 2. ZBAD = CAD 3. Reflexive Property 3. AD E AD 4. 4. AB AC 5. A BAD ACAD 6. ane 6. ZB ZC FAMERA 5.

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
Section3.2: Corresponding Parts Of Congruent Triangles
Problem 45E
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3. Given: AABC with AB AC 8 D Prove: ZB C Statements Reasons 1. Draw the bisector of ZBAC and let this bisector intersect BC at D. 1. Every angle has exactly one bisector. 2. 2. ZBAD = CAD 3. Reflexive Property 3. AD E AD 4. 4. AB AC 5. A BAD ACAD 6. ane6. ZB ZC FAMERA 5. --- -
Transcribed Image Text:3. Given: AABC with AB AC 8 D Prove: ZB C Statements Reasons 1. Draw the bisector of ZBAC and let this bisector intersect BC at D. 1. Every angle has exactly one bisector. 2. 2. ZBAD = CAD 3. Reflexive Property 3. AD E AD 4. 4. AB AC 5. A BAD ACAD 6. ane6. ZB ZC FAMERA 5. --- -
TABLE COMPLETION: Complete the table by writing the reasons in the corresponding statements to: prove that the two triangles are congruent. A. Given: Prove: AABC ADEC AB = DE C is the midpoint of AE ZA and ZD are right angles STATEMENTS REASONS AB = DE 2. C is the midpoint of AE 3. AC EC LA and ZD are right triangles 5. ZA ZD 6. AABC ADEC O A TRIPLE CAMERA 1. 4. 5.
Transcribed Image Text:TABLE COMPLETION: Complete the table by writing the reasons in the corresponding statements to: prove that the two triangles are congruent. A. Given: Prove: AABC ADEC AB = DE C is the midpoint of AE ZA and ZD are right angles STATEMENTS REASONS AB = DE 2. C is the midpoint of AE 3. AC EC LA and ZD are right triangles 5. ZA ZD 6. AABC ADEC O A TRIPLE CAMERA 1. 4. 5.
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