Final answer:
To determine if two figures are scaled copies, check if they have a consistent scale factor across all corresponding dimensions, indicating the same shape at different sizes. Changes in dimensions must be proportional, and a specific scale factor, such as 1:2, will show the relationship between the figures' sizes.
Step-by-step explanation:
Two figures are scaled copies of each other if they have the same shape but may differ in size. This is achieved through a scale factor. The relationship between the dimensions of the two figures is consistent across all corresponding measurements.
For example, if one figure has sides that are twice as long as the other, the scale factor is 2:1, or simply 2. This means that every dimension in the larger figure is twice the size of the corresponding dimension in the smaller figure.
Proportional changes also indicate scaled copies. If the height of one block is twice the height of another, and this relationship holds for all dimensions (width, length), the blocks are scaled copies. Similarly, scale models or drawings have scale factors that relate to actual sizes. For example, a scale factor of 1/200 means the actual size is 200 times larger than the model or drawing.
Maintaining scale and proportion is crucial for creating an illusion of depth or emphasizing certain aspects of artwork or models.