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Q: Are corresponding angles of similar figure always congruent?

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

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

Angles are congruent if they are equal. Corresponding angles in figures that are similar are congruent.

In short, no. Similar shapes are shapes in which all corresponding angles congruent regardless of the length of the sides. Congruent shapes have congruent corresponding angles and corresponding sides. In effect congruent shapes is a special condition of similar shapes.

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

yes.

Yes.

No, they are similar. They may be congruent, but they need not be.

Proportional.

congruent

Yes. Similar triangles have equal corresponding angles, and so do congruent triangles.

Proportional.

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