Rectangle "M" "N" "P" "Q"

Question

MN​PQ is translated 4 units left and 3 units up. Which rule best describes this transformation?

Answer 1

To describe the translation of rectangle $MNPQ$ 4 units left and 3 units up, we can express the transformation using a coordinate rule.

If a point $(x,y)$ represents a vertex of the rectangle, the transformation can be described as follows:

1. Moving 4 units left means we subtract 4 from the x-coordinate.
2. Moving 3 units up means we add 3 to the y-coordinate.

Therefore, the rule that describes this transformation is:

$$(x,y)\to (x-4,y+3)$$

This means that for any point $(x,y)$ in the rectangle, after the transformation, the new coordinates will be $(x-4,y+3)$.