Two triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.
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Similar triangles are the same shape, but not necessarily the same size. In this case, the triangles are congruent if, in addition to this, their corresponding sides are of equal length.
When all the three sides of a triangle are simply in proportion to the three sides of another triangle, then it can be stated that the two triangles are similar. Therefore, if AB/XY = BC/YZ = AC/XZ then ΔABC ~ΔXYZ.
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