Question

The vertices of a rectangle are R(-5, -5), S(-1, -5), T(-1, 1), and U(-5, 1). After translation, R' is the point (-9, 1). Find the translation rule and

coordinates of U'.
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Answer 1

• Transformation rule: (x, y) → (x - 4, y + 6),
• Coordinates of U' = ( - 9, 7).

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Compare the coordinates of R and R' to find the transformation rule:

• R(- 5, - 5) → R'(- 9, 1)

Change in x:

• -9 - (-5) = - 4

Change in y:

• 1 - (-5) = 6

The rule is:

• (x, y) → (x - 4, y + 6)

Apply this rule to U to find the coordinates of U':

• U(-5, 1) → U'(-5 - 4, 1 + 6) = U'(-9, 7)