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Triangles can only be congruent if you can prove that they have one of these three properties: 1. All the sides are the same lengths as the sides on the other triangle (e.g. both have sides of 3, 4 and 5 cm) 2. Two of the sides, and the angle between them are the same in both triangles 3. Two of the angles and the corresponding side to them (the side that is attached to both corners where the angles are measured) are the same in both triangles. If any of the above can be proved to be true then the triangles are congruent. However, if any one of the conditions above are proved to be false - for example if one triangle has two sides the same, but one has the angle between them of 40 degress and the other at 41 degrees, (breaking rule 2) then the triangles are not congruent.

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Q: How can you show if two triangles are not congruent?
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