Final answer:
The translation rule for moving triangle ABC 6 units to the right and 10 units down is described by the function T(x, y) => (x+6, y-10), involving horizontal and vertical vectors representing these movements.
Step-by-step explanation:
The translation rule to describe the translation of triangle ABC that is 6 units to the right and 10 units down is expressed by the function T(x, y) => (x+6, y-10). To perform this translation:
- Draw an arrow representing the vector that translates the shape. This vector will be 6 units in length in the horizontal direction (to the right) and 10 units in length in the vertical direction (downward).
- Apply this transformation to each vertex (point) of triangle ABC. If point A has coordinates (x1, y1), the new coordinates for A after translation would be (x1+6, y1-10), and the same applies to points B and C.
To visualize this movement:
- Use a ruler and protractor to draw an arrow to the right for the horizontal component of 6 units.
- Then, draw an arrow downward for the vertical component of 10 units.
The combined effect of these two movements accurately represents the translation of triangle ABC.