What is the same distance from each point of a figure and its image.
The same distance from each point of a figure and its image is called the axis of symmetry. An axis of symmetry divides a figure into two congruent parts, reflecting each point of the figure onto its corresponding point on the other side of the axis.
The distance from each point of a figure to its image is equal if the figure and its image are symmetrical.
The same distance from each point of a figure and its image refers to the concept of the "center of dilation" in geometry. To find the point that is equidistant from each point of a figure and its image, follow these steps:
1. Identify the given figure and its image. Let's say the figure is ABC and its image is A'B'C'.
2. Look for corresponding points on the figure and its image. For example, point A corresponds to point A', point B corresponds to point B', and point C corresponds to point C'.
3. Draw lines connecting each corresponding point pair. In this case, draw lines AA', BB', and CC'.
4. Locate the point where all these lines intersect. This point is known as the center of dilation.
5. The center of dilation is equidistant from each point of the figure and its image.