Question

What do you need to know in order to draw Polygon ADIF and its image after the dilation?

Answer 1

To draw and dilate polygon ADIF, you need the vertices coordinates, the dilation scale factor, and the center of dilation. Dilation factors greater than 1 enlarge the polygon, while factors between 0 and 1 reduce its size.

Step-by-step explanation:

To draw polygon ADIF and its image after the dilation, you need several pieces of information:

• The coordinates of the vertices of the original polygon ADIF.
• The scale factor of the dilation.
• The center of dilation (which may be one of the polygon's vertices, a point inside the polygon, or a point outside the polygon).

Dilation in geometry means to scale a figure up or down without altering its shape. The scale factor will determine how much larger or smaller the image will be compared to the original polygon. If the scale factor is greater than 1, the image will be larger; if it is between 0 and 1, the image will be smaller. It's also important to note if the dilation is a reduction or an enlargement.

1. Plot the original polygon ADIF on a coordinate plane using the given vertex coordinates.
2. Determine the center of dilation.
3. Apply the scale factor to each vertex point by multiplying the coordinates by the scale factor, using the center of dilation as the fixed point.
4. Connect the new vertex points to form the dilated image of the polygon.