Q: In similar triangles corresponding angles are congruent?

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False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.

proportional

Proportional.

They are congruent triangles.

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

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False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.

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.

angles

proportional

Proportional.

They are congruent triangles.

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

Triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

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