1. Basics
2. Deductive Reasoning
3 - Parallel lines
4 - Congruent Triangles
5 - Quadrilaterals
6 - Inequalities
7 - Similar Polygon
8 - Rt. Triangles
9 - Circles
10 - Constructions
11 - Areas of 2D objects
12 - Areas and Volumes
13 - Coordinates
14 - Reflection/Rotation

   

 Congruent Triangles

 

Objective:

• Identify the corresponding parts of congruent figures

Lesson 4-1 Congruent figures

         Congruent:() When two figures having the same size and shape

        Congruent Triangles:  IIF (If and only if) two triangles have vertices that can be matched up so that the Corresponding parts (angles and sides) of   the triangles are congruent.

 

 

  Triangle ABC fits exactly over triangle DEF, this makes the two triangles congruent.

The sides and angles will then match up like this:

Corresponding Angles:	Corresponding sides:
Angle A - Angle D	Segment AB - Segment DE
Angle B - Angle E	Segment BC - Segment EF
Angle C - Angle F	Segment AC - Segment DF

 

Corresponding parts of congruent triangles are congruent.

              Congruent Polygon: IIF 2 polygons have vertices that can be matched up so that their corresponding parts are congruent.

 

 

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