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
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.
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.