Yo could try using logic.
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Before using Corresponding Parts of a Congruent Triangle are Congruent theorem (CPCTC) in a geometric proof, you must first prove that there is a congruent triangles. This method can be used for proving polygons and geometrical triangles.
Although there is no precise synonym for geometric, in some cases you might use Euclidean.
By definition, yes. Any shape is a geometric shape.
no
The use of geometric shapes in painting is used in abstract art. Abstraction indicates a departure from reality in depiction of imagery in art.