Question

rectangle abcd has vertices a(-6, -2), b(-3, -2), c(-3, -6), and d(-6, -6). the rectangle is translated so that the coordinates of the image are a(-10, 1), b(-7,1), c(-7, -3), and d(-10, -3). which rule was used to translate the image? t_{-4,3}(x,y) t_{-4,1}(x,y) t_{4, -1}(x,y) t_{4, -3}(x,y)

Explanation:

Step1: Find change in x - coordinate

For point A, original x - coordinate is - 6 and new x - coordinate is - 10. Change in x is - 10-( - 6)=-4.

Step2: Find change in y - coordinate

For point A, original y - coordinate is - 2 and new y - coordinate is 1. Change in y is 1-( - 2)=3.

Step3: Determine translation rule

The translation rule is \(T_{-4,3}(x,y)\) which means move 4 units left (because of - 4 in x - direction) and 3 units up (because of 3 in y - direction).

Answer:

\(T_{-4,3}(x,y)\)