There is three easy way to prove similarity. If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar.
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When the three angle pairs are all equal, the three pairs of the side must be proportion.
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When triangles are congruent and one triangle is placed on the top of other sides and angles that are in the same position are called corresponding parts.
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Congruent and similar shapes can make calculations and design work easier.