2.7 Notes
Date: __________________________
Theorem
Diagram
Difference between Transitive Property and Substitution Property:
•
The Substitution Property can be used for
•
The Transitive Property can be used for
Practice
1.
Given:
∠1 + ∠2 = 90
1
∠1 ≅ ∠3
2
3
Prove: ∠3 + ∠2 = 90
Statement
2.
∠1 ≅ ∠3
Given: ∠2 ≅ ∠3
∠2 ≅ ∠4
Reason
1
3
2
4
Prove: ∠1 ≅ ∠4
Statement
Reason
2.8 Notes
Date: ______________________
Opposite rays –
Vertical angles –
Practice
1.
Given:
Find:
4
m∠4 = 2x + 5
m∠5 = x + 30
m∠4
Theorem
2.
5
Diagram
1
Given: ∠2 ≅ ∠4
Prove: ∠1 ≅ ∠4
2
4
Statement
Reason