A figure dilation refers to the process of scaling or stretching a figure by a constant factor, either enlarging or reducing its size. The relation of a figure dilation to its original figure can be understood in terms of the following characteristics:
1. Size: The dilated figure will have a different size compared to the original figure. If the scale factor of dilation is greater than 1, the figure will be enlarged and if the scale factor is between 0 and 1, the figure will be reduced in size. If the scale factor is exactly 1, there will be no change in the size of the figure.
2. Proportions: The dilated figure will retain the proportions or shape of the original figure. This means that the corresponding angles of the dilated figure will be congruent to the corresponding angles of the original figure. Similarly, the corresponding sides of the dilated figure will be proportional to the corresponding sides of the original figure.
3. Orientation: The dilated figure may have the same orientation or it may be rotated compared to the original figure. The orientation depends on the center of dilation and the direction of the dilation. If the center of dilation is the origin and the dilation is positive, the orientation remains the same. However, if the center of dilation is not the origin or the dilation is negative, the orientation may change.
4. Position: The dilated figure will typically be located in a different position compared to the original figure. The position depends on the center of dilation. If the center of dilation is the origin, the position of the dilated figure may remain the same. However, if the center of dilation is a point other than the origin, the dilated figure will be shifted in the direction of the center of dilation.
In summary, a figure dilation changes the size of the figure while preserving its proportions, potentially altering its orientation and position, depending on the center of dilation.
explain what relation a figure dilate has to its original
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