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Geometry worksheet to help students complete and write congruent triangle proofs which involve parallel lines and alternate interior angle theorems in flow chart format.
Geometry worksheet to help students complete and write congruent triangle proofs which involve parallel lines and alternate interior angle theorems in two column format.

Activity 3.8​

​Assignment 5.15

​Parallel Lines in Congruent Triangles Proofs

 
Objective
Complete and create congruent triangle proofs in triangles with a pair of parallel sides with alternate interior angles.
 
 
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Assignment 3.9

About Geometry Worksheet Assignment 5.15     

 

Assignment 5.15 is an introduction to writing proofs for congruent triangles in which the triangles have a pair of parallel sides with alternate interior angles.

 

Prerequisite Skills:  Identify conditions for triangle congruence (SSS, SAS, ASA, AAS, HL) (Assignment 5.5).  Name pairs of congruent alternate interior angles determined by parallel lines (Assignment 4.6).

 

Theorem:  Alternate Interior Angles: if two parallel lines are intersected by a transversal, the alternate interior angles are congruent.

                         

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