Question

Rectangle "M" "N" "P" "Q"
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 \( (x - 4, y + 3) \).