Similar Congruent Figures Ava Martellaro Hannah Rehman Cousino

Similar & Congruent Figures Ava Martellaro & Hannah Rehman Cousino High School Fraser High School

Imagine your friend has two cupcakes, one mini and one regular sized. He offers you one, but you say that they are different sizes. He insists that they are the same. However, you know that they are not congruent, they are similar. Because of math, you were not tricked into taking the smaller cupcake. http: //img 10. deviantart. net/4 da 8/i/2012/192/0/7/strawberry_cupcake_by_bubupoodle-d 56 t 3 l 8. png

Purpose The purpose of this presentation is to help students understand more about similar and congruent figures. After this presentation, students should be able to understand that a two-dimensional another shape if it was produced from the first through rotations, reflections, translations, or dilations.

Similarity Same shape Different size Must be in proportion to eachother

Congruence Equal in shape & size Angles have same measure Corresponding parts (angles, sides, faces, etc) are equal

Scale Factor Describes how much a figure is reduced or enlarged Used with similar geometric shapes Ratio of area = square of scale factor? Ratio of volume= cube of scale factor? 2: 1

What Makes Two Shapes Similar? Same angles Sides are in proportion Can be rotated or reflected Has a scale factor

Sources http: //img 10. deviantart. net/4 da 8/i/2012/192/0/7/strawberry_cupcake_by_bubupoodle-d 56 t 3 l 8. png http: //www. cut-the-knot. org/What. Is. Similarity. shtml www. mathwords. com/s/scale_factor. htm www. mathwords. com/c/congruent. htm