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Geometry worksheet to help students use congruent triangles to prove that triangles are isosceles triangles and points are midpoints in two column format.
Geometry worksheet to help students use congruent triangles to prove that lines are parallel and that lines are perpendicular in two column format.

Activity 3.8​

​Assignment 5.20

​Using CPCTC: Two Column

 
Objective
Complete proofs in two column form that use congruent triangles and CPCTC to show geometric relationships.
 
 
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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.

 

 

 

 

 

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