1. The coordinates of point A are (2, 2).
2. The coordinates of point B are (6, 2).
3. The coordinates of point C are (4, 6).
4. The coordinates of point A' are (8, 3).
5. The coordinates of point B' are (16, 3).
6. The coordinates of point C' are (12, 19).
7. Triangle ABC is translated and scaled to form triangle A'B'C'.
8. The translation vector from A to A' is (6, 1).
9. The scaling factor for the x-direction is 2 (from AB = 4 to A'B' = 8).
10. The scaling factor for the y-direction is not uniform; the height increases from 4 (C to AB) to 16 (C' to A'B'), which is a factor of 4.
11. The transformation is not a simple similarity transformation due to non-uniform scaling.
12. The area of triangle ABC is 8 square units (base 4, height 4, area = 0.5 * 4 * 4).
13. The area of triangle A'B'C' is 64 square units (base 8, height 16, area = 0.5 * 8 * 16).
14. The area ratio is 8:1, consistent with the product of the scaling factors in x and y directions (2 * 4 = 8).
15. The transformation involves a translation followed by non-uniform scaling.
Parent Tip: Review the logic above to help your child master the concept of dilations on a coordinate plane worksheet.
