More than one correct answer on coordinate plane

I have a point on a graph in which students must plot a point 0.5 units away in any direction (up, down, right, or left). I do not know how to allow them to choose one of the 4 possible answers and count it correct when they do.

The correct answers are (-0.5,0), (-0.5, -1), (-1,-0.5), and (0,-0.5).

Any help is greatly appreciated. Thank you!

You say “0.5 units away in any direction” but then have a restricted list of points that consitute the only ‘correct’ solutions.
Do you want it truly within 0.5 units in any direction or only those points? I know you’ve locked the delta for each point in the activity to 0.5 units, but thought I’d check first…

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It is a 6th grade question. Therefore, it is fixed to just up, down, left, and right (no diagonal). There are only 4 correct answers, but the student only needs to plot one of those answers. I need the program to list it as correct once one of the four options have been plotted.

Would you like the correct point included? It’s technically also within 0.5 units…

Isn’t it one of the ones I listed above? Here is the problem I am trying to recreate in Desmos with the acceptable answer.

Sure, just wanted to know if point C is also acceptable as a correct answer

This screen will allow you to make the desirable distance away whatever you want as well as the target point and do that checking for you:

Thank you!!! That is what I wanted.

Also wanted to offer up these mock-ups as another option.
The first screen would be more useful if you had a specific set of points in mind for answers that didn’t have anything particular in common, but are still correct answers. I did this using lists for the x and y coordinates.
The second screen is the simplest overall way to do what you’re attempting without doing a bunch of calculations. The graph has a distance function! I set the desired distance in the CL like Mike did to give easier adaption to other problems.

Thank you. Your first screen looks like what I have used for plotting multiple points. If I understand it correctly, the change was in the script for the graph.

I have both of these saved for future projects. Thank you.

Most of what I did was in the CL using lists with the goal of taking any of the combinations listed. The second screen will be the most flexible with what you’re wanting to do with the point plotted a certain distance away.

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