Question

Jeremiah designs a school banner that measures 4 feet wide and 3 feet long. The banner is represented by figure HIJK. He enlarges the banner to form image H9I9J9K9. He uses a scale factor of 4 with a center of dilation at the origin. What are the coordinates of J9?

Answer 1

The coordinates of J' after using a scale factor of 4 are (16,12).

Step-by-step explanation:

If Jeremiah uses a scale factor of 4 to enlarge the school banner, we can find the coordinates of J' by multiplying the original coordinates of J by the scale factor. If we presume that figure HIJK is originally positioned such that H is at the origin (0,0), I is at (4,0), J is at (4,3), and K is at (0,3), we can calculate the coordinates of J'.

To apply the scale factor, we take the coordinates of J (4,3) and multiply each one by the scale factor of 4 to get J' which will have coordinates (16,12). Therefore, the coordinates of J' after dilation are (16,12).