Question

write the translation rule if point a is translated 5 units right and 10 units up. one box is for the operation, one box is for the number (1 point)

Explanation:

Step1: Recall translation rules

In coordinate geometry, translating a point right affects the x - coordinate, and translating a point up affects the y - coordinate. When translating a point \((x,y)\) \(h\) units right, we add \(h\) to the \(x\) - coordinate, and when translating \(k\) units up, we add \(k\) to the \(y\) - coordinate.

Step2: Apply the given translation

Here, the point is translated 5 units right and 10 units up. So for the \(x\) - coordinate (horizontal direction), the operation is addition (\(+\)) and the number is 5. For the \(y\) - coordinate (vertical direction), the operation is addition (\(+\)) and the number is 10. The translation rule for a point \((x,y)\) is \((x + 5,y+ 10)\). If we consider the general translation rule in terms of the operations and numbers for each coordinate: for the \(x\) - coordinate: operation is \(+\), number is 5; for the \(y\) - coordinate: operation is \(+\), number is 10.

Answer:

For the \(x\) - coordinate: Operation: \(+\), Number: \(5\); For the \(y\) - coordinate: Operation: \(+\), Number: \(10\) (The translation rule is \((x,y)\to(x + 5,y + 10)\))