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Name: ______________________________________________________________
Date: _______________________
Chapter 5: Triangle Congruency Proofs
Summary of Statements & Reasons
Statement
Period: _______
Reason
Definition of Bisector
Plain Old Language
2 congruent segments
Notes Packet:
Definition of Midpoint
2 congruent segments
Old Chapters
Definition of Median
2 congruent segments
Old Chapters
Definition of Angle
Bisector
2 congruent angles
Old Chapters
Definition of
Perpendicular Bisector
2 right angles
2 congruent segments
Old Chapters
Definition of Altitude
2 right angles
Old Chapters
Definition of
Perpendicular Lines
2 right angles
Old Chapters
All right angles are
congruent
2 congruent angles
5-2
All right triangles contain
a right angle
2 right triangles (to set up for HL)
5-5
Vertical Angles are
congruent
2 congruent angles
5-2
Reflexive Property
Something congruent to itself
5-2
Old Chapters
Name: ______________________________________________________________
Date: _______________________
Chapter 5: Triangle Congruency Proofs
Summary of Statements & Reasons
Period: _______
Isosceles Triangle Sides
Isosceles triangles have two
congruent sides
5-4
Isosceles Triangle Angles
Isosceles triangles have two
congruent base angles
5-4
Reflexive Property
Line segments too small? Make them
bigger by ADDING something.
5-6
Line segments too big? Make them
smaller by SUBTRACTING something.
5-6
When you have an angle on the
outside, but need the inside.
5-7
Parallel lines create many sets of
congruent angles, but usually interior
angles are used in proofs
5-8
Addition
Substitution
Reflexive Property
Subtraction
Substitution
Angles that form a
straight line are
supplementary
Supplements of congruent
angles are congruent
Parallel lines cut by a
transversal, pairs of
alternate interior angles
are congruent
EVERY PROOF, GENERAL LAYOUT:
Statement
Methods that prove congruency
Reason
Methods that do NOT prove congruency