# Shared Flashcard Set

## Details

Chapter 4
Honors Geometry Chapter 4
19
Mathematics
10/05/2010

Term
 SSS Postulate
Definition
 If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
Term
 SAS Postulate
Definition
 If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Term
 ASA Postulate
Definition
 If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then 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 to the Isosceles Triangle Theorem (Don't call it this!)
Definition
 An equilateral triangle is also equiangular.
Term
 Corollary 2 to the Isosceles Triangle Theorem (Don't call it this!)
Definition
 An equilateral triangle has three 60 degree angles.
Term
 Corollary 3 to the Isosceles Triangle Theorem (Don't call it this!)
Definition
 The bisector of the vertex angle of an isosceles triangle is perpendicular to the base at its midpoint.
Term
 Converse of the Isosceles Triangle Theorem
Definition
 If two angles of a triangle are congruent, then the sides opposite those angles are congruent.
Term
 Corollary to the Converse of the Isosceles Triangle Theorem (Don't call it this)
Definition
 An equiangular triangle is also equilateral.
Term
 AAS Theorem
Definition
 If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent.
Term
 HL Theorem
Definition
 If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
Term
 Theorem 4.5 (don't call it this)
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 (don't call it this)
Definition
 If a point is equidistant from the endpoints of a segment, then the point lies on the perpendicular bisector of the segment.
Term
 Theorem 4.7 (don't call it this)
Definition
 If a point lies on the bisector of an angle, then the point is equidistant from the sides of the angle.
Term
 Theorem 4.8 (don't call it this)
Definition
 If a point is equidistant from the sides of an angle, then the point lies on the bisector of the angle.
Term
 Definition of a line perpendicular to a plane
Definition
 If a line and a plane intersect and the line is perpendicular to all lines in the plane that pass through the point of intersection.
Term
 Definition of a median
Definition
 A segment from the vertex to the midpoint of the opposite side.
Term
 Definition of an Altitude
Definition
 The perpendicular segment from a vertex to the line that contains the opposite side.
Term
 Definition of a perpendicular bisector
Definition
 A line (or segment or ray) that is perpendicular to the segment at its midpoint.
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