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Q: Can you build two triangles that have the same side lengths but are not congruent?

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False, having the same side lengths would make them 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.

Yes because the definition of a congruent triangle is a triangle with EVERY side the same length

False, because they could be similar triangles having the same angles but proportionally different side lengths

All equiangular triangles are similar, but not congruent. They all have three 60 degree angles. This does not mean that they all have the same side lengths though. Therefore, they are only similar, not congruent.

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

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

They are congruent.

Only if they are congruent triangles

The triangles have the same side lengths.

True

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.

to be congruent two triangles have, ASA-two angles the same with a side length between them. SAS-two side lengths the same and a same angle between them. SSS-all 3 side lengths the same. RHS-if the triangles are right angles ,and the hypotenuse are the same. :)

no. congruent means the same size and shape. all triangles don't share the same size and shape.

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