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.

Example of Corresponding Sides

  • 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

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

Choices:
A. and
B. and
C. and
D. and
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, and are corresponding sides.

Related Terms for Corresponding Sides

  • Position
  • Sides