Title: 4.1 4.2 Congruency
14.1 4.2Congruency
2- Congruency
- Congruent figures ____________________________
- __________________________________________
- __________________________________________________
__________________________________________________
__________________________
Angles Sides
D
A
B
C
E
F
3In a proof, if triangles are congruent and you
plan to prove that corresponding pieces are
congruent use __ __ __ __
__ __________________________________________ ___
_______________________________________ __________
________________________________ _________________
_________________________
4Reasons for Proving Triangles Congruent Postulate
12 ____________________________ ________________
__________________________ _______________________
___________________ ______________________________
____________
5Postulate 13 _____________________________ _____
___________________________________ ______________
__________________________ _______________________
_________________ ________________________________
________
6Postulate 14_______________________________ _____
_____________________________________ ____________
______________________________ ___________________
_______________________ __________________________
________________
7O
T
M
K
8A
Z
Y
1
2
4
3
B
94.3 Proving other Congruencies
10M
1
3
K
J
2
4
O
11C
D
1
2
B
A
12C
B
D
A
13M
k
J
1
2
4
3
L
14M
k
J
1
2
4
3
L
15R
S
O
P
Q
16B
A
E
C
D
174.4 Isosceles Triangles
18Lets draw an Isosceles Triangle
19- Def of Isosceles Triangle
- _______________________________________
Theorem 4-1 ___________________________________
_________________________________________________
_ ________________________________________________
__ _______________________________________________
___ Theorem 4-2________________________________
___________________________________________ ______
__________________________________________________
______________________________
20Corollary 2 _________________________________ ___
_______________________________________ __________
________________________________ _________________
_________________________
21Examples
x
4x-6
16
50
18
X_______
X_______
224.5 Triangles Congruent
23More Ways to Prove Triangles Congruent
Theorem 4.3_______________________________ ______
____________________________________ _____________
_____________________________ ____________________
______________________
24Theorem 4.4_______________________________ ______
____________________________________ _____________
_____________________________ ____________________
______________________ ___________________________
_______________
25Examples
x
21
21
4x-1
3x3
65
19-x
X_______
X_______
26L
P
x
Q
1
4
2
3
70
N
M
X________
27Z
Y
A
B C
284.6 Proving More than one set of Triangles
Congruent
29D
O
C
A
B
30D
O
X
C
A
B
31X
D
C
1
2
A
B
O
324.7 Altitude, Median and Perpendicular
Bisector
33- Median ________________________________
- _________________________________________
- _________________________________________
- ___________________________________
A
C
B
34- Altitude ____________________________
- _____________________________________
- ____________________________________
- Acute Right Obtuse
35Perpendicular Bisector ___________________
________________________________________ ________
________________________________ _________________
_______________________ __________________________
_____________
36PBT ___________________________________ _________
_______________________________ __________________
______________________ ___________________________
_____________
C
A
B
37CPBT _________________________________ __________
______________________________ ___________________
_____________________ ____________________________
____________
C
A
B
38Theorem 4.7 _______________________ _____________
________________________ _________________________
____________ _____________________________________
39D
O
C
B
40D
O
C
B