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Triangles

  • Similar and Congruent Figures
    • Two geometric figures having the same shape and size are said to be congruent figures.
    • Two geometric figures having the same shape, but not necessarily the same size, are called similar figures.

Example: 

(1) All circles are similar.

(2) All equilateral triangles are similar.

(3) All congruent figures are similar. However, the converse is not true.

 

  • Similarity of Polygons 

Two polygons with the same number of sides are similar, if

    • their corresponding angles are equal
    • their corresponding sides are in the same ratio (or proportion)
  • Two lines segme…

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