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2A chap.4 (tringle congruence)
postulates, theorems, and colollaries on triangle congruence
14
Mathematics
10th Grade
10/20/2007

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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.
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