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Q: Can you assume that corresponding sides and corresponding angles of any two similar triangles are congruent and why?

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

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

angles

Correct. Congruency means that two triangles have three pairs of congruent angles and corresponding sides of the same lengths. A pair of triangles with three pairs of congruent angles but sides of different lengths are similar, not congruent.

A. Corresponding parts of similar triangles are similar.B. Alternate interior angles are supplementary.C. Alternate interior angles are congruent.D. Corresponding parts of congruent triangles 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.

proportional

angles

Proportional.

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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