Q: What is two figures whose corresponding sides and angles are congruent?

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Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

They are said to be congruent

polygons that have corresponding angles congruent and corresponding sides proportional

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.]

It is an equilateral triangle that has 3 equal sides and 3 equal interior angles

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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.

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

Two figures are only congruent if their corresponding angles and sides are equal.So yes, by the definition of congruency.cylinder

They are said to be congruent

Corresponding sides and angles are not all congruent.

The angles, sides and vertices that are in the same location in congruent figures.

corresponding sides and angles are congruent s/a

For segments or angles, "congruent" means that they have the same measure.For more complicated figures, such as triangles, "congruent" means that all corresponding sides and angles are congruent. "Corresponding" means that you make an assignment, from angles and sides of one triangle, to angles and sides of the other triangle. For example, you might label the sides of one triangle a1, b1, c1, and the sides of other triangle a2, b2, c2 - and you consider the "a" sides to be "corresponding".

Their corresponding angles and corresponding sides are congruent.

you can assume that the angles are congruent, but not the sides.

polygons that have corresponding angles congruent and corresponding sides proportional

Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.