Regular polygons
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Congruent figures are similar - in sides as well as angles. Corresonding angles of similar figures congruent but their sides are not. The sides are all in some fixed ratio. [If that ratio is 1, the figures are congruent.]
Angles are congruent if they are equal. Corresponding angles in figures that are similar are congruent.
Congruent figures are identical in dimensions and angles whereas similar figures have dimensions in proportion to congruent figures but both have exactly the same angles.
All figures with four congruent sides are rhombuses. All figures with four congruent angles are rectangles. Any shape that is both a rhombus and a rectangle is a square.
Congruent figures are identical in dimensions and angles whereas similar figures have dimensions in proportion to congruent figures but both have exactly the same angles.