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Q: Are figures with congruent angles always similar?

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the shape? no, not always. but they are always at least similar figures. but the angles alone are always congruent

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

similar figures have the same angles but not necessarily the same side lengths

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.

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.

True.

Their angles are the same.

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

Yes, in similar triangles, the angles are always congruent, and the sides have the same proportions to each other.

No because Similar figures are the same shape, angles, and types but not lengths. Congruent means EXACTLY the same in everything.

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