Question

jack is planting trees along a path in the park. he wants the trees to be located equidistant from the path.
if trees g and m are a pair, tree m should be planted at select choice select choice

Explanation:

Step1: Determine the distance of point G from the path

Assume the path is at \(x = 3\) (assuming standard grid - like coordinate system where we can count units). If point \(G\) has an \(x\) - coordinate. Let's say if we assume the path is the vertical line \(x = 3\). Suppose the \(x\) - coordinate of \(G\) is \(x_G=1\). The distance of \(G\) from the path \(d=\vert3 - 1\vert=2\) units.

Step2: Use the property of equidistant points

Since the trees \(G\) and \(M\) are equidistant from the path. If the path is \(x = 3\), and for a point \(G=(x_G,y_G)\), the \(x\) - coordinate of \(M\) (let \(x_M\)) satisfies \(\vert x_M - 3\vert=\vert x_G - 3\vert\). If we assume \(G=(1,4)\) (by counting units on a standard grid where \(O\) is \((0,0)\)), then \(x_M=3+(3 - 1)=5\) and \(y_M = 4\) (because the \(y\) - coordinate remains the same for points equidistant from a vertical path)

Answer:

\((5,4)\)