1. 4.1 Congruent Figures
-Congruent Polygons: have corresponding angles and sides
-Theorem 4.1: If 2 angles of 1 triangle are congruent to 2 angles of another triangle, then the 3rd angles are
congruent

2. 4.2 Triangle Congruence by SSS and SAS
-Postulate 4.1: Side Side Side (SSS) congruence says if 3 sides of 1 triangle
are congruent to 3 sides of
another triangle, then the 2
triangles are congruent
-Postulate 4.2: Side Angle Side (SAS) congruence says if 2 sides and the included
angle of 1 triangle are
congruent to 2 sides and the
included angle of another
triangle, then the 2 triangles
are congruent

3. 4.3 Triangle Congruence by ASA and AAS
-Postulate 4.3: (ASA) congruence says if 2 angles and the included side of 1 triangle
are congruent to 2 angles and the
included side of another triangle,
then the 2 triangles are
congruent
-Postulate 4.4: Angle Angle Side (AAS) congruence says if 2 angles and the non-included
side of 1 triangle are
congruent to 2 angles and the
non-included side of another
triangle, then the 2 triangles
are congruent

4. 4.4 corresponding Parts of Congruent Triangles
Triangles can be proved congruent by:
SSS - SAS - ASA - AAS

5. 4.5 isosceles and Equilateral Triangles
-Theorem 4.3: Isosceles Triangle theorem says if 2 sides of a triangle are congruent, then the angles opposite those sides are congruent
-Theorem 4.4: Converse of Isosceles
Triangle theorem says if 2 angles of a
triangle are congruent, then the sides
opposite those angles are congruent
-Theorem 4.5: the bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base

6. 4.5 isosceles and equilateral triangles
-Corollary to Theorem 4.3: If a triangle is equilateral, then it is equiangular
-Corollary to Theorem 4.4: If a triangle is equiangular, then it is equilateral

7. 4.6 Congruence in Right Triangles
-Theorem 4.6: Hypotenuse Leg Theorem says if the hypotenuse and a leg of 1 right triangle are congruent to the hypotenuse and leg of another triangle, then the 2 triangles are congruent