how can you determine the coordinates of any image that is dilated with the center of dilation at the origin without graping explain your reasioning
multiply the original coordinates by the dilation factor.
review the topic.
To determine the coordinates of any image that is dilated with the center of dilation at the origin without graphing, you can follow a simple reasoning process based on the concept of dilation.
Dilation involves stretching or shrinking an object from a center point called the origin. It is determined by a scale factor, which indicates the amount of enlargement or reduction. In this case, since the center of dilation is at the origin, the scale factor will apply to both x and y coordinates equally.
To apply dilation to an image without graphing, follow these steps:
1. Identify the scale factor: The scale factor is usually given in the problem or can be determined by comparing corresponding points on the original and dilated image. Let's say the scale factor is "k."
2. For each point in the original image, multiply their x and y-coordinates by the scale factor "k".
- Original point: (x, y)
- Dilated point: (k * x, k * y)
By multiplying each coordinate of the original image by the scale factor, the corresponding points in the dilated image are obtained.