2.5 ­ Addition and Subtraction Properties.notebook
Bellringer: Wed, Nov 9th
November 10, 2016
Addition Property
• Adding congruent segments to congruent segments
Givens:
M
A
D
C
O
W
Conclusion:
Sep 5­7:14 AM
Addition Property
Addition Property
• Adding congruent angles to congruent angles
• Adding a segment to congruent segments
Givens:
H
T
Sep 29­9:06 AM
Givens:
D
S
B
I
P
A
N
Conclusion:
Sep 29­9:06 AM
A
D
W
Conclusion:
Sep 29­9:06 AM
1
2.5 ­ Addition and Subtraction Properties.notebook
Subtraction Property
Addition Property
• Adding an angle to congruent angles
R
November 10, 2016
• Subtracting congruent segments from congruent segments
Given:
Givens:
E
L
Conclusion:
X
A
X
Y
Z
S
T
V
Sep 29­9:06 AM
Conclusion:
Sep 29­9:06 AM
Subtraction Property
Subtraction Property
• Subtracting a segment from congruent segments
• Subtracting congruent angles from congruent angles
Given:
Given:
D
W
H
S
Y
A
N
G
Conclusion:
A
V
O
Conclusion:
G
Sep 29­9:06 AM
Sep 29­9:06 AM
2
2.5 ­ Addition and Subtraction Properties.notebook
November 10, 2016
Subtraction Property
• Subtracting an angle from congruent angles
S
W
Given:
Y
A
V
Conclusion:
• Subtracting a segment from congruent segments
Sep 29­9:06 AM
Sep 29­9:06 AM
S
Given: R
Prove: Statements
Reasons
3
4
1
2
T
V
1.)
1.) Given
2.)
2.) Given
3.)
3.) Given
4.)
4.) If a ray bisects an angle, then it divides an angle into 2 congruent angles.
5.) If two angles are complementary to congruent angles, then they are congruent.
5.)
6.)
6.) If a ray divides an angle into 2 congruent angles, then it bisects the angle.
Sep 29­9:06 AM
3