Geometry Chapter 4 Study Guide

CPCPC: Corresponding parts of congruent polygons are congruent
CPCTC: Corresponding parts of congruent triangles are congruent
Included side/angle: The segment between two given angles; the angle formed by two given segments
Median: A line segment that joins the vertex of a triangle to the midpoint of the opposite side
Altitude: A line segment that passes through a vertex of a triangle and is perpendicular to the opposite side
Perpendicular Bisector: A line, ray, or segment that passes through the midpoint of a side of a triangle and is perpendicular to that side
SSS Congruence Postulate:  If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. Triangle ABC is congruent to Triangle DEF by the SSS Congruence Postulate. 

SAS Congruence Postulate: 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. Triangle GHJ is congruent to Triangle KLM by the SAS Congruence Postulate.

ASA Congruence Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. Triangle NPQ is congruent to Triangle RST by the ASA Congruence Postulate.