Question

identify the translation rule on a coordinate plane that verifies that square a(-4, 3), b(-4, 8), c(-9, 3), d(-9, 8) and square a(-3, 2), b(-3, 7), c(-8, 2), d(-8, 7) are congruent.
a (x, y) → (x - 1, y + 1)
b (x, y) → (x - 1, y - 1)
c (x, y) → (x + 1, y - 1)
d the squares are not congruent

Explanation:

Step1: Calculate the translation of \(x\) - coordinate

For \(x\) - coordinate: \(-3-(-4)=1\), \(-8 - (-9)=1\).

Step2: Calculate the translation of \(y\) - coordinate

For \(y\) - coordinate: \(2 - 3=-1\), \(7 - 8=-1\).

Answer:

C. \((x,y)\to(x + 1,y-1)\)