Download Transitive and Vertical Angles.jnt

GEOMETRY
TRANSITIVE PROPERTY & VERTICAL ANGLES
NOTES/PRACTICE
Goal: Be able to apply the transitive and substitution properties.
Transitive Property:
If angles (or segments) are ________________ to the ________
angle (or segment), then they are _____________ to each other.
If angles (or segments) are ________________ to _______________
angles (or segments), then they are _____________ to each other.
Given: DB bisec ts AC
AB  BD
Prove: BD  BC
STATEMENTS
REASONS
YOU TRY!
Given: O is the midpo int of NP
RN  PO
Prove: RN  NO
STATEMENTS
REASONS
GEOMETRY
TRANSITIVE PROPERTY & VERTICAL ANGLES
NOTES/PRACTICE
Given: 1& 2 are complementary
1  3
Prove: 3  2  90
STATEMENTS
REASONS
*BEA and SER are _______________________.
*What is true about BEA and SER?
A
B
E
R
S
SHORT PROOF:
A
1
B
3
Given: 1  2
E
2
Prove: 2  3
R
S
STATEMENTS
REASONS
GEOMETRY
TRANSITIVE PROPERTY & VERTICAL ANGLES
NOTES/PRACTICE