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Q: What the heck are congruent figures?

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The Definition of Congruent Figures (which is a proof) says that if two figures have corresponding sides congruent and corresponding angles congruent, then the figures are to be congruent.

Congruent figures are always similar. However, similar figures are only sometimes congruent.

All congruent figures are similar figures, and have identical sizes.

Are congruent figures always similar? Yes.

Congruent Figures has equal sides, angles, shape and size.

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.

congruent

The lengths of the sides need not be congruent. For example, consider a square and a rectangle.

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.]

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.

They may be of different sizes. Congruent figures have the same size.They may be of different sizes. Congruent figures have the same size.They may be of different sizes. Congruent figures have the same size.They may be of different sizes. Congruent figures have the same size.

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