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Q: Are two triangles that have the same side lengths always be congruent?

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No, triangles with the same side lengths are always congruent.

No, triangles with the same side lengths are always congruent.

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

True

They are congruent.

Only if they are congruent triangles

False, having the same side lengths would make them congruent.

The triangles have the same side lengths.

True, only if all the sides are the same length.

no: if you have two triangles with the same angle measurements, but one has side lengths of 3in, 4in, and 5in and the other has side lengths of 6in, 8in, and 10in, then they are similar. Congruent triangles have the same angle measures AND side lengths.

You could prove two triangles are congruent by measuring each side of both triangles, and all three angles of each triangle. If the lengths of the sides are the same, and so are the angles, then the triangles are congruent... if not, then the triangles are not congruent. If the triangles have the exact same size and shape then they are congruent.

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.

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