Similarity Worksheets

What is Geometric Similarity? When we talk about geometric shapes, we talk about the two-dimensional shapes that we draw and mostly observe. Some geometric shapes also bear similarities among themselves. Geometric shapes are typically defined as the shapes that have the same shape but do not necessarily have the same size. Similar polygons are those that have corresponding congruent angles and the same ratios of corresponding sides. Two figures or shapes are similar if one figure or shape can be achieved by the single transformation of another figure. These transformations can include reflections, translations, rotations, and dilation. Similarity transformation is a type of transformation that has the same image or shape as the pre-image. A similarity transformation can be divided into categories, rigid and no-rigid transformation. Rigid transformation tells us the relationship between corresponding figures and the type of transformation, like rotations, translations, and reflections. Rigid transformation maintains the size and preserves the size of the shape even after transformations.