1/17/2024 0 Comments Proofs using cpctcCorresponding Angles: Angles in the same relative position in similar or congruent figures.Congruent: Having the same size and shape.ASA (Angle-Side-Angle correspondence): If two pairs of corresponding angles have the same measure and the pair of corresponding sides has the same length, the two triangles are congruent.AAS (Angle-Angle-Side correspondence): If two pairs of corresponding angles have the same measure and the pair of third sides (not included) has the same length, the two triangles are congruent.There are some mathematical relationships that are always true and these relationships are used as the rules of arithmetic and algebra and are useful for writing equivalent forms of expressions and solving equations and inequalities.Spatial reasoning and visualization are ways to orient thinking about the physical world.Some geometric relationships can be described and explored as functional relationships.Congruence describes a special similarity relationship between objects and is a form of equivalence. Similarity relationships between objects are a form of proportional relationships.Relations and functions are mathematical relationships that can be represented and analyzed using words, tables, graphs, and equations.Patterns exhibit relationships that can be extended, described, and generalized.Transformations can be described and analyzed mathematically. ![]() ![]() ![]() Objects can be transformed in an infinite number of ways.Numbers, measures, expressions, equations, and inequalities can represent mathematical situations and structures in many equivalent forms.Mathematical statements can be justified through deductive and inductive reasoning and proof.
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