Mathematics
Grade9
Easy

Question

Are the two figures similar? (If yes, find the similarity ratio)

  1. Yes; 5    
  2. Yes; 9:6    
  3. Yes; fraction numerator 1 over denominator 3 end fraction    
  4. No    

hintHint:

Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.

The correct answer is: No


    Length = fraction numerator 8 over denominator 54 end fraction equals fraction numerator 4 over denominator 27 end fraction
    Height = fraction numerator 27 over denominator 81 end fraction equals fraction numerator 1 over denominator 3 end fraction
    They are not similar because the ratios of corresponding linear measures are not all equal.
    Hence, the correct option is C.

    Here, the ratio of the sides are not equal.

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