Details Title: 2A chap.4 (tringle congruence) Description: postulates, theorems, and colollaries on triangle congruence Total Flash Cards: 14 Created: 10/20/2007 08:35:02		New Users: To study from this flashcard set, or to create your own your own study flash cards, REGISTER HERE. Existing Users: CLICK HERE. Additional Mathematics Flashcards
Cards in this set: Term SSS postulate (postulate 12) Definition If three sides of a triangle are congruent to three sides of another triangle the triangles are congruent. Term SAS postulate (postulate 13) Definition If two sides and the included angle of one triangle are congruent to two side and the included angle of another triangle, the triangles are congruent. Term ASA postulate (postulate 14) Definition If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent. Term Isosceles Triangle Theorem Definition If two sides of a triangle are congruent, then the angles opposite those sides are congruent. Term Corollary 1 (In chapter 4 Definition An equilateral triangle is also equiangular or an equiangular triangle is also equilateral. Term Corollary 2 (In chapter 4) Definition An equilateral triangle has three 60 degrees angles. Term Corollary 3 (In chapter 4)      Definition The bisector of the vertex angle of an isosceles triangle is perpendicular to the base at its midpoint. Term theorem 4-2   Definition If two angles of a triangle are congruent, then the sides opposite those angles are also congruent Term AAS theorem? (Theorem 4-3)     Definition If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. Term what is the HL theorem (4-4) Definition If the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent. Term theorem 4-5 Definition If a point lies on the perpendicular bisector of a segment, then the point is equidistant from the endpoints of the segment. Term theorem 4-6 Definition If  point is equidistant from the endpoints of a segment, then the point lies on the perpendicular bisector of the segment. Term theorem 4-7 Definition If a point lies on the bisector of an angle, then the point is equidistant from the sides of an angle. Term theorem 4-8 Definition If a point is equidistant from the sides of an angle, then the point lies on the bisector of the angle.