Download Corresponding Parts of Congruent Triangle are Congruent

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Triangle Properties
Triangle Angle-Sum Theorem – The sum of the 3 angles of a triangle
equal 180 degrees.
Triangle Angle-Sum Corollaries (A corollary can be used as a reason in a
proof.)
1. The acute angles of a right triangle are complementary.
2. There can be at most one right or obtuse angle in a triangle.
Exterior Angle Theorem – The exterior angle of a triangle is equal to the
sum of the remote interior angles.
Third Angles Theorem - If 2 angles of 1 triangle are congruent to 2
angles of a second triangle, then the third angles of the triangles are
congruent.
CPCTC – If 2 triangles are congruent, then their corresponding parts are
congruent (Corresponding Parts of Congruent Triangle are Congruent)
Vertical Angles Theorem – Vertical angles are congruent
Midpoint Theorem – If T is the midpoint of SV, then ST is congruent to
TV.
Reflexive Property of Triangle Congruence – triangle ABC = triangle ABC
Symmetric Property of Triangle Congruence – If triangle ABC = triangle
EFG, then triangle EFG = triangle ABC
Transitive Property of Triangle Congruence – If triangle ABC = triangle
EFG and triangle EFG = triangle JKL, the triangle ABC = triangle JKL
Properties of Equilateral Triangles – A triangle is Equilateral if and only
if it is equiangular. Each angle of an equilateral triangle is 60 degrees.
Isosceles Triangle Theorem – If 2 sides of an isosceles triangle are
congruent, then angles opposite these sides are congruent
Converse of Isosceles Triangle Theorem – If 2 angles of an isosceles
triangle are congruent, then the sides opposite these angles are
congruent.
SSS – If 3 sides of one triangle are congruent to 3 sides of a second
triangle, then the triangles are congruent.
SAS – If 2 sides and the included angle of one triangle are congruent to
2 sides of a second triangle, then the triangles are congruent.
ASA – If 2 angles and the included side of one triangle are congruent to
2 angles and the included side of another triangle, then the triangles
are congruent.
AAS – If 2 angles and the non-included side of one triangle are
congruent to the corresponding 2 angles and side of a second triangle,
then the 2 triangles are congruent.