Question

a translation is applied to the square formed by the points a(-3, - 4), b(-3, 5), c(6, 5), and d(6, - 4). the image is the square that has vertices a(-3, - 6), b(-3, 3), c(6, 3) and d(6, - 6). select the phrase from the drop - down menu to correctly describe the translation. the square was translated choose...

Explanation:

Step1: Analyze x - coordinates

The x - coordinates of the original points \(A(-3,-4)\), \(B(-3,5)\), \(C(6,5)\), \(D(6,-4)\) and the image points \(A'(-3,-6)\), \(B'(-3,3)\), \(C'(6,3)\), \(D'(6,-6)\) are the same. So, there is no horizontal translation.

Step2: Analyze y - coordinates

For point \(A\), the y - coordinate changes from \(y=-4\) to \(y = - 6\). The change in the y - coordinate is \(\Delta y=-6-(-4)=-2\). For point \(B\), the y - coordinate changes from \(y = 5\) to \(y = 3\), and \(\Delta y=3 - 5=-2\). For point \(C\), the y - coordinate changes from \(y = 5\) to \(y = 3\), \(\Delta y=3 - 5=-2\). For point \(D\), the y - coordinate changes from \(y=-4\) to \(y=-6\), \(\Delta y=-6-(-4)=-2\).

Answer:

2 units down