Question

dilations quick check

Answer 1

[AI-generated answer — Bot GPT 3.5]

A dilation is a type of transformation that changes the size of a figure. It can either enlarge (stretch) or reduce (shrink) the original figure while maintaining its shape.

To perform a dilation, you need a two things: a center of dilation and a scale factor. The center of dilation is a fixed point through which all points of the figure will be multiplied or divided. The scale factor is a number greater than 0 that determines how much the figure will be enlarged or reduced.

To perform a dilation:
1. Identify the center of dilation.
2. Determine the scale factor.
3. Multiply the coordinates of each point of the original figure by the scale factor to obtain the coordinates of the dilated figure.

Remember that if the scale factor is greater than 1, the figure will be enlarged, and if the scale factor is between 0 and 1, the figure will be reduced.

For a quick check, you could be given a figure and asked to dilate it by a certain scale factor and center of dilation. You would need to determine the new coordinates of the dilated figure and potentially draw it as well.