​Using CPCTC: Two Column

About Geometry Worksheet Assignment 5.20:     

 

Assignment 5.20 is an introduction to using CPCTC to prove geometric relationships using two column format.

 

Prerequisite Skill:  Use two-column form to prove congruent triangles and use CPCTC to prove pairs of sides and angles of triangles congruent (Assignment 5.17).  

 

Definitions:  Definition of Isosceles Triangle: A triangle that has two congruent sides is isosceles.

                           Definition of Midpoint: A point that divides a line segment into two congruent line segments is a midpoint..

                           

Theorems:   Alternate Interior Angle Theorem: Lines intersected by a transveral so that the alternate interior angles are congruent are parallel.

                           Perpendicular Lines Theorem: Two lines that intersect to make congruent adjacent angles are perpendicular.