Similar Figures

Definition of Similar Figures

Similar figures are figures that have the same shape but not necessarily the same size.

More About Similar Figures

  • Any two corresponding sides in two similar figures have a common ratio called the scale factor.The trapezoids ABCD and EFGH shown above are similar. So,
  • The ratio of areas of two similar figures is the square of the scale factor.
  • The ratio of volumes of two similar figures is the cube of the scale factor.

Video Examples: Similar Figures and Proportions


Example of Similar Figures

    Find the value of x, if the figures are similar.

Solved Example on Similar Figures

Ques: Find the number of Similar Figures in the measurement 4.07 cm.

    Choices:

    Correct Answer: B

Solution:

    Step 1: Since the figures are similar, the ratios of the lengths of corresponding sides of the figures are equal.
    Step 2:  [Write the proportion.]
    Step 3:   [Substitute the values.]
    Step 4: 12 � x = 5 � 6 [Write the cross products.]
    Step 5:  [Divide both sides by 12.]
    Step 6:  [Simplify.]
    Step 7:  [Convert improper fraction into mixed number.]
    Step 8: The value of x is .

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