What are corresponding sides?
http://www.mathwarehouse.com/geometry/corresponding-angles-sides.php
http://www.mathwarehouse.com/geometry/corresponding-angles-sides.php
Corresponding sides are pairs of sides in similar figures that are in the same position or location relative to the shape. In other words, when you have two similar shapes (such as triangles or rectangles), corresponding sides are sides that have the same relative position in each shape.
To identify corresponding sides, you need to compare the shapes and look for equivalent sides. Here is a step-by-step approach:
1. Identify the shapes: Determine if you are dealing with two similar figures. Similar figures have the same shape but may have different sizes or orientations.
2. Compare the figures: Take a close look at the two shapes and identify common features and angles. Ensure that the shapes are indeed similar and not just visually similar.
3. Match the sides: Once you have established the similarity of the figures, identify pairs of sides that have the same relative position. In other words, find sides that are in the same location or in the same direction.
4. Label the corresponding sides: To clearly indicate the corresponding sides, label them using the same letter or symbol. For example, if you have two triangles, you can label the corresponding sides as a∼a, b∼b, and c∼c, where a, b, and c represent the sides of both triangles.
By understanding and identifying the corresponding sides of similar figures, you can determine key relationships and ratios for further analysis or problem-solving.