Question

△ghi underwent a translation. point g is located at (3, 4) and g (13, -4). if h is located at (0, 8), then what is the coordinate of h under the same translation? h ( )

Explanation:

Step1: Find the translation rule

To find the translation rule, we look at the change in the x - and y - coordinates from point G to G'.
For the x - coordinate: The change in x from G(3, 4) to G'(13, - 4) is \(13 - 3=10\).
For the y - coordinate: The change in y from G(3, 4) to G'(13, - 4) is \(-4 - 4=-8\). So the translation rule is \((x,y)\to(x + 10,y-8)\).

Step2: Apply the translation rule to point H

Given H(0, 8), for the x - coordinate of H': \(x=0 + 10=10\).
For the y - coordinate of H': \(y=8-8 = 0\).

Answer:

(10,0)