SIMILAR POLYGONS Two figures are similar if Corresponding ANGLES are CONGRUENT Corresponding SIDES are PROPORTIONAL

Solve each proportion:

DON’T FORGET –

Example: Determine whether the pair of triangles is similar. Justify your answer. Show all work.

Scale Factor If the Scale Factor < 1 polygon is getting smaller The ratio of the lengths of two corresponding sides of two similar polygons or two similar solids   NOTE: The scale factor for two similar polygons depends on the order of comparison If the Scale Factor < 1 polygon is getting smaller If the Scale Factor > 1 polygon is getting bigger If the Scale Factor < 1 polygon is getting smaller If the Scale Factor > 1 polygon is getting bigger   Reduction k<1 Enlargement k>1

Always, Sometimes or Never Congruent triangles are __________similar. Similar triangles are __________ congruent. Equiangular octagons are __________ similar.   Always, Sometimes or Never