Geometry chapter 7 similarity test answers 2026

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There are three major types of similarity rules, as given below, AA (or AAA) or Angle-Angle Similarity Theorem. SAS or Side-Angle-Side Similarity Theorem. SSS or Side-Side-Side Similarity Theorem.
A similarity describes a relationship where two shapes have equal corresponding angles and proportional sides. In mathematics, it most often refers to polygons or geometric figures that are the same shape but may differ in size.
If two pairs of corresponding angles in two triangles are equal, then the triangles are similar. This is called AA Similarity.

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To prove two polygons are similar, we need to show that two conditions are true: (a) all pairs of corresponding angles are equal and (b) all pairs of corresponding sides are in the same proportion. To prove two triangles are similar, we need only show that one of the conditions is true.
Similar shapes Two shapes are similar if they have the same shape, but they may be different sizes. In other words, two shapes are similar if their corresponding angles are equal (same shape) and their corresponding sides are in the same proportion (different size).
If two angles of a triangle have measures equal to the measures of two angles of another triangle, then the triangles are similar. Corresponding sides of similar polygons are in proportion, and corresponding angles of similar polygons have the same measure. Two congruent shapes are similar, with a scale factor of 1.
In Euclidean geometry, two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling (enlarging or reducing), possibly with additional translation, rotation and reflection.

geometry test answers chapter 7