Corresponding Sides

Definition of Corresponding Sides

If the relative position of two sides is same in two figures, then they are called Corresponding Sides.

More About Corresponding Sides

    Corresponding sides are proportional in similar figures.

Video Examples: Corresponding Angles and Sides


Example of Corresponding Sides

      EXAMPLE OF Converging Lines
    In the figure, triangles ABC and XYZ are similar.
    The relative position of AB and XY is same, so they are corresponding sides.
    Similarly, BC and YZ, and AC and XZ, are corresponding sides.

Solved Example on Corresponding Sides

Ques: If the pentagons shown are similar, identify the corresponding sides.

    example of  Corresponding Sides
    Choices:
    A. Corresponding_Sidesand Corresponding_Sides
    B. Corresponding_Sides and Corresponding_Sides
    C. Corresponding_Sides and Corresponding_Sides
    D. Corresponding_Sides and Corresponding_Sides
    Correct Answer: A

Solution:

    Step 1: Two polygons are similar if and only if their corresponding angles are congruent and the measures of their corresponding sides are proportional.
    Step 2: So, PQ/AB = QR/BC = RT/CD = TS/DE = SP/EA [Proportion of sides.]
    Step 3: Here,Corresponding_Sides and Corresponding_Sides are corresponding sides.

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