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Transcript
Geometry
Chapter 4
Postulates/ Theorems
Theorem 4.1 – Triangle Sum Theorem
The sum of the measures of the interior angles of a triangle is 180
Theorem 4.2 – Exterior Angle Theorem
The measure of an exterior angle of a triangle is equal to the sum
of the measures of the two nonadjacent interior angles
Corollary to the Triangle Sum Theorem
The acute angles of a right triangle are complementary
Theorem 4.3 – Third Angles Theorem
If two angles of one triangle are congruent to two
triangles of another triangle, then the third angles
are also congruent.
Theorem 4.4 – Properties of Congruent Triangles
B
Reflexive Property of Congruent Triangles
Every triangle is congruent to itself
A
E
Symmetric Property of Congruent Triangles
If ABC  DEF , then DEF  ABC
C
D
Transitive Property of Congruent Triangles
F
K
If ABC  DEF and DEF  JKL , then ABC  JKL
J
L
Postulate 19 – Side-Side-Side (SSS) Congruence Postulate
If three sides of one triangle are congruent to three sides of a
second triangle, then the two triangles are congruent
2