Similar and Congruent Shapes

Congruent figures have
the same shape and are the exact same size.

·
All congruent
shapes are also similar.

**Similar** figures have the same shape, but not necessarily the
same size.

- The corresponding sides of similar figures are in
proportion. In other words
if a small triangle is similar to a larger triangle, if the corresponding
side of the large triangle is double the corresponding side of the small
triangle, all the sides of the large triangle will be double the smaller
one.
- The corresponding angles of similar figures are
congruent.
- The symbol ~ means similar.
- When you identify two polygons as similar, you
must name their corresponding vertices in the same order. For
example abc~ xyz means that <a corresponds to
<x and <b corresponds to
<y and <c corresponds to <z

To check if two figures are
similar, find two sets of corresponding sides and create a proportion.

abc~ xyz

_{}