Corresponding Parts of Congruent Figures

Corresponding parts are in the same or 'matching' positions in similar and congruent figures.

Figures that are the same shape, but different sizes. All of the corresponding angles are congruent.

Similar figures have a scale factor. In the image Triangle DEF is 2 times triangle ABC.

The symbol for Similar is ~

 $\cong$ 

Congruent figures have the same size and same shape. Two figures are congruent if we can use rotations, translations and reflections to get one shape on top of the other. 

 $Triangle\ ABC\ \cong\ Triangle\ DEF$  

 $\Delta ABC\ \cong\Delta DEF.$  

In the image we know Angle A corresponds to Angle D because they are marked the same. We can use the markings to write a congruence statement.