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Introduction |
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Triangles are similar if they are equiangular and their corresponding sides are proportional. |
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Similarity |
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Two triangles are similar if (i) Their angles are the same and, (ii) he corresponding sides are proportional. |
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Enlargement or Dilatation |
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The corresponding sides are parallel to each other. |
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Theorem1 (S.A.S) Similarity |
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If a pair of corresponding angles are equal and the sides including them are proportional, then the triangles are similar. |
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Theorem2 (A.A) Similarity |
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If two pairs of corresponding angles are equal, then the triangles are similar. |
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Theorem3 (S.S.S) Similarity |
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If three pairs of corresponding sides are proportional then the two triangles are similar. |
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Theorem4 |
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A perpendicular drawn from the right angle vertex of a right - angled triangle divides the triangle into two triangles similar to each other and also to the original triangle. |
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Summary |
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(S.S.S Similarity) : If three pairs of corresponding sides are proportional, then the two triangles are similar. |
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Questions and Answers |
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