Similar Figures


 
 
Concept Explanation
 

Similar Figures

Similar figures:

Definition:    Two polygons having the same number of sides are said to be similar, if

(i) their corresponding angles are equal; and

(ii) their corresponding sides are in the same ratio (proportional).

Corollary 

  • All equilateral triangles are similar.
  • All squares are similar.
  • All regular polygons having the same number of sides are similar.
  • All circles are similar.
  • Sample Questions
    (More Questions for each concept available in Login)
    Question : 1

    If these two triangles are similar, then which of the relations must hold between their angles?

    Right Option : D
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    Explanation
    Question : 2

    In the above figure, if bigtriangleup ABC;and;bigtriangleup DEF are similar, Then which of the following statement will be false?

    1. frac{AB}{DE}=frac{AC}{DF}

    2.frac{AB}{DE}=frac{BC}{EF}

    3.frac{AB}{DE}=frac{BC}{DE}

    Right Option : C
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    Explanation
    Question : 3

    If these two triangles are similar, then the relation between their sides are?

    Right Option : D
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    Explanation
     
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