Question

point ( d(7, 1) ) is the image of ( d(7, 6) ) under a translation. determine the translation. use non - negative numbers. a translation by (square) units (\boldsymbol{\text{right/left/up/down}}) (\boldsymbol{downarrow})

Explanation:

Step1: Analyze x - coordinates

The x - coordinate of \(D\) is \(7\) and the x - coordinate of \(D'\) is \(7\). So, there is no horizontal translation (left or right) because the x - values are the same.

Step2: Analyze y - coordinates

The y - coordinate of \(D\) is \(6\) and the y - coordinate of \(D'\) is \(1\). To find the vertical translation, we calculate the difference: \(6 - 1=5\). Since the y - coordinate decreases from \(6\) to \(1\), the translation is downwards.

Answer:

A translation by \(5\) units down