Question

Draw the dilation of the quadrilateral using a scale factor of 1.5 and k as the center.

Answer 1

To dilate a quadrilateral using a scale factor of 1.5 with k as the center, measure the distances from k to each vertex, multiply by 1.5, place new vertices, and connect them to form the dilated quadrilateral.

Step-by-step explanation:

To draw the dilation of a quadrilateral with k as the center and a scale factor of 1.5, you must perform the following steps:

1. Identify the position of point k, which will serve as the center of dilation.
2. Measure the distances from point k to each vertex of the quadrilateral.
3. Multiply each of these distances by the scale factor of 1.5 to find the distance of the dilated vertices from point k.
4. From point k, measure out the new distances in the same direction as the original points and mark the new vertices.
5. Connect the new vertices to form the dilated quadrilateral.

This process applies the given scale factor to the quadrilateral, effectively enlarging it while maintaining its shape and proportions as per the rules of dilation in geometry.