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
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)
angles are congruent. That is sufficient to force the corresponding sides to be proportional - which is the other definition of similarity.
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
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)
angles are congruent. That is sufficient to force the corresponding sides to be proportional - which is the other definition of similarity.
Triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.
All the corresponding sides in congruent triangles are equal All the corresponding angles in congruent triangles are equal
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.