Question

which best describes a possible step used to determine the location of the image of point b when reflected in line t?
a) move down one and right one from (0, 0).
b) move down one and right one from (-1, 1).

Explanation:

Step1: Determine the coordinates of point B

From the graph, point B is at \((0,0)\)

Step2: Analyze the reflection rule over the line \(y = x\)

The reflection of a point \((x,y)\) over the line \(y=x\) is \((y,x)\). But since point \(B=(0,0)\), its reflection over \(y = x\) is still \((0,0)\)

Step3: Analyze option A

Moving down one and right one from \((0,0)\) gives the point \((1,- 1)\) which is not relevant to reflection over \(y=x\)

Step4: Analyze option B

Since the line \(y=x\) is involved, and if we consider the general property of reflection (though in this case \(B=(0,0)\) is on the line \(y = x\)), but if we assume a wrong - approach check:
If we wrongly consider some non - standard reflection (but in reality for \(B=(0,0)\) on \(y=x\) its image is itself). However, if we consider the direction description:
Starting from \((0,0)\) (because \(B=(0,0)\)), moving down one and right one is equivalent to \((0 + 1,0-1)=(1,-1)\) which is not correct. But if we assume a mis - interpretation of the problem (maybe a mis - labeled point), but the only logical step among the options, since we start from the original point of \(B=(0,0)\) (the starting point for reflection analysis of \(B\))

Answer:

A. Move down one and right one from \((0,0)\)