If a pentagon is dialated which of the folloeing characteristics change?
1.side lenght
2.area
3.the coordinates
i think tis 2 & 3 but not sure.
To determine which characteristics change when a pentagon is dilated, let's go over the properties of dilation:
Dilation is a transformation that alters the size of a figure. It is performed by multiplying the coordinates of each point of the figure by a constant value.
1. Side Length: When a pentagon undergoes dilation, the side lengths change. The lengths of the sides are multiplied by the same constant value used for dilation.
2. Area: The area of a figure is determined by the product of the base and height. When a pentagon is dilated, both the base and height of each side are multiplied by the constant value used for dilation. As a result, the area of the pentagon changes as well.
3. Coordinates: When a pentagon is dilated, each point of the figure moves away from or towards the center of dilation. The distance of the point from the center is multiplied by the constant value used for dilation. Thus, the coordinates of the vertices change.
Therefore, both the side lengths (1) and the coordinates (3) of a pentagon change when it undergoes dilation. The area (2) also changes since it is dependent on the side lengths.