Similar and congruent figures
Similar figures have equal corresponding angles and the length of their corresponding sides have equal ratios.
Similar equlateral triangles 

Similar squares 



Congruent figures have the same size as well as the same shape. They are similar figures that are equal in size.
Congruent triangles 

Congruent squares 






Congruent rectangles 

Congruent Hexagons 



Determine whether the polygons are similar. Justify your answer. 

Since , the measures of the sides of the polygons are proportional. The corresponding angles are congruent. Therefore, the polygons are similar.
Determine whether the polygons are similar. Justify your answer. 


Since , the measures of the sides of the polygons are proportional. However, the corresponding angles are not congruent. The polygons are not similar.
Determine whether the polygons are congruent. Justify your answer. 


Since there is a correspondence between the shapes such that corresponding angles and sides are congruent, the shapes are congruent.