Chapter 4 Flashcards
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent
Theorem 4-1
Have congruent corresponding parts-their matching sides and angles. Matching vertices are corresponding vertices. When you name this list corresponding vertices in same order
Congruent polygons
If three sides of one triangle are congruent to three sides of anther triangle then the two triangles are congruent
Side side side postulate 4-1
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle then the two triangles are congruent
Side angle side postulate 4-2
If two angles and the included side of one triangle are congruent to the angles and the included side of another triangle the triangles are congruent
ASA postulate
If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding non included side of another triangle, Then the triangles are congruent
AAS Theoram 4-2
Congruent Parts of Congruent Triangles are Congruent
CPCTC
Congruent sides of an isosceles triangle
Legs of an isosceles triangle
The third side of the isosceles triangles
Base
The angle that forms the two congruent sides
Vertex Angle
The other two angles
Base Angles
If two sides of a triangle are congruent then the angles opposite those sides are congruent
Isosceles Angle Theorem
If two angles of a triangle are congruent then the sides opposite the angles are congruent
Converse of Isosceles Angles Theorem
The bisector of the vertex angles of an isosceles triangle is the perpendicular bisector of the base
MEMORIZE Theorem 4-5
If a triangle is equilateral then the triangle is equialngular
Corollary to Theorem 4-3