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Q: What are the corresponding sides called in similar triangles whose corresponding angles are congruent?

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

Yes.

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

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

proportional

angles

They are congruent triangles.

Triangles are congruent if they have the same angles and same lengths.

angles are congruent. That is sufficient to force the corresponding sides to be proportional - which is the other definition of similarity.

All the corresponding sides in congruent triangles are equal All the corresponding angles in congruent triangles are equal

When all of their corresponding angles are congruent (in any triangle, in fact) then the triangles are similar. Similarity postulate AAA. (angle-angle-angle)

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

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