CongruenceTheorems.notebook
January 29, 2015
Given: X is the midpoint of
Prove:
and
A
Y
X
B
Z
First, notice that AX = ZX because X is the midpoint of AZ. Next, we have that BX = YX because X is also the midpoint of BY. Finally, we have that AXB = YXZ because vertical angles are congruent. Therefore AXB = YXZ by SAS. CongruenceTheorems.notebook
Given:
January 29, 2015
, S is the midpoint of Prove:
Q
P
S
R
CongruenceTheorems.notebook
January 29, 2015
Given:
Prove:
A
B
D
C
CongruenceTheorems.notebook
Given:
January 29, 2015
;
bisects
Prove:
Q
R
P
S
CongruenceTheorems.notebook
January 29, 2015
Example: Given:
Prove: A
D
C
B
E
CongruenceTheorems.notebook
January 29, 2015
Given:
Prove:
G
J
K
H
M
L
CongruenceTheorems.notebook
January 29, 2015
Given:
Prove:
K
N
L
M
CongruenceTheorems.notebook
Example : Given Prove:
January 29, 2015
bisects Y
X
• In order to prove you have to first prove
Z
W
CongruenceTheorems.notebook
Given:
January 29, 2015
are right angles
and
D is the midpoint of Prove:
B
A
D
• In order to prove you have to first prove
C
CongruenceTheorems.notebook
January 29, 2015
1. Given: C is the midpoint of AE Prove:
A
D
C
B
E