Section ____________________
Vocabulary
Date__________
Prove Statements about Segments and Angles
Definition
Example
Statements
PROOF
TWO-COLUMN
PROOF
THEOREM
CONGRUENCE of
SEGMENTS
CONGRUENCE of
ANGLES
A proof is a logical argument that shows a statement is true.
A two-column proof has numbered statements and
corresponding reasons that show an argument in logical
order.
example
A theorem is a statement that can be proven.
Reflexive
For any segment ̅̅̅̅
AB, ____ ≅ ____
Symmetric
If ̅̅̅̅
AB ≅ ̅̅̅̅
CD ,then ____ ≅ ____
Transitive
̅̅̅̅, then ____ ≅ ____
If ̅̅̅̅
AB ≅ ̅̅̅̅
CD and ̅̅̅̅
CD ≅ EF
Reflexive
For any angle A, ____ ≅ ____
Symmetric
If ‹A ≅ ‹B, then ____ ≅ ____
Transitive
If ‹A ≅ ‹B and ‹B ≅ ‹C, then ____ ≅ ____
Reasons
1.
2.
3.
4.
5.
1. GIVEN
2.
3.
4.
5.
* the last statement is
ALWAYS what you are
trying to prove
* the first reason(s)
is ALWAYS your
GIVEN(s)