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Geometry worksheet to help students complete congruent triangle proofs that involve application of definitions (isosceles, midpoint, bisector) in two column format.
Geometry worksheet to help students complete congruent triangle proofs that involve application of definitions and theorems (isosceles, midpoint, bisector, perpendicular) in two column format.

Activity 3.8​

​Assignment 5.14

​Definitions and Theorems in Proofs: Two Column

 
Objective
Complete and create proofs of congruent triangles involving definitions and theorems (midpoints, isosceles triangles, angle bisectors, perpendicular lines) using two column form.
 
 
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Assignment 3.9

About Geometry Worksheet Assignment 5.14:     

 

Assignment 5.14 is an introduction to writing proofs for congruent triangles that include basic definitions and theorems using two column format.

 

Prerequisite Skills:   Identify conditions for triangle congruence (SSS, SAS, ASA, AAS, HL) (Assignment 5.5).  Complete and write proofs using two-column form (Assignment 5.12).

 

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

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

                           Definition of Angle Bisector: The bisector of an anglet divides the angle into two congruent angles.

Theorem:      Perpendicular Lines Theorem: Perpendicular Lines are lines that intersect at right angles.  Right angles are congruent.

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