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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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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