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 along \(x = 1\) (assuming standard grid - like coordinate system). If point \(G\) has \(x\) - coordinate \(x_G=-1\), the distance of \(G\) from the path \(x = 1\) is \(d=\vert1-(-1)\vert = 2\) units.

Step2: Use the property of equidistant points

Since trees \(G\) and \(M\) are equidistant from the path. Let the path be \(x = 1\). If \(G=(-1,y_G)\), then for a point \(M=(x_M,y_G)\) (same \(y\) - coordinate as they are a pair), using the distance formula \(d=\vert1 - x\vert\). If \(d = 2\) (from step 1), then \(\vert1 - x_M\vert=2\). Solving \(1 - x_M=2\) gives \(x_M=-1\) (rejected as it's \(G\) itself) and \(1 - x_M=-2\) gives \(x_M = 3\). Assuming \(G=(-1,3)\) (from the grid - like appearance of the graph where \(G\) is 2 units left of the path \(x = 1\) and say \(y = 3\) as per the position above \(H\)), then \(M=(3,3)\)

Answer:

\((3,3)\)