The corresponding side to segment MN in the figure on the right is segment RS. The scale factor is 1/200.
The concept of scaling in geometry involves creating an identical but resized copy of a figure.
In this scenario, the figure on the right is a scaled copy of the figure on the left, meaning it maintains the same shape but differs in size.
Segment MN in the left figure corresponds to segment RS in the right figure. When two figures are scaled, corresponding sides maintain proportional relationships.
The scale factor, in this case, is 1/200, signifying that each unit in the original figure is reduced to 1/200 of a unit in the scaled copy.
For instance, if segment MN in the original figure had a length of 200 units, its corresponding side, RS, in the scaled copy would be 1 unit in length This scaling relationship applies uniformly to all sides and angles, ensuring proportional similarity between the two figures.
Geometrically, scaling with a scale factor alters the size of the figure while preserving its shape and proportions.
It's a fundamental concept used in various fields such as map making, architecture, and computer graphics to create resized representations while maintaining the original structure's characteristics.
Understanding scale factors helps in accurately resizing and relating figures in geometric contexts.