Flowchart Proof Discussion 2
description
Transcript of Flowchart Proof Discussion 2
1. Given: Prove:
NA ST,SA NT NAT STA
2. Given: Prove:
A S
TN
S
V Z
OL
E
LO ZV,SL || EZ
OS VE
O V
SA NTNA ST AT AT
NAT STA
ANT TSA
Given Given Reflexive
SSS Triangle Congruence conj.
CPCTC
LO ZV
SL || EZ
21
1 2 O VGiven AIA // Lines conj. Given
LSO ZEVSAA Triangle cong. conj.
OS VECPCTC
Reflection: Extending our proof, what can we conclude from NATSTA? NA //ST by the Converse of AIA // Lines
ConjGiven
3. Given: Prove:
4. Given: Prove:
OS OV E L
L E
V S
O
LO EO
1 2
1 2OS OV LO EOGiven
SAS Triangle cong. conj.
Vertical Angles conj
Given
LOV EOS
E LCPCTC
S
N
D
Y
A
R
SR SA, SN SY
N Y SN SYSR SA S S
NSR YSA
N Y
Given GivenReflexive Property
SAS Triangle cong. conj.
CPCTC
5. Given:
Prove:
Given
Given
CPCTC
RIA is isosceles with vertex RIA RIT AIT
T
I
R A
RIA is isosceles with vertex RIA
RIT AIT
RT AT
RT AT
AIRI
IT IT
AR
ASA Triangle Cong. Conj.
ITC Def. of iso triangle
AITRIT
If there is no line coming from the topmost box, the 1st box on the left may be replaced by and the triangles will be by SAS Triangle Conj.