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Q: In a reflection along the x axis a given coordinate 2 -1 transforms itself into?

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Yes., and their being along the coordinate axes does not change the answer.Consider the vectors: i, -i and j where i is the unit vector along the x axis and j along the y axis. The resultant of the three is j.

In the system of Cartesian coordinates in geometry, the x-coordinate is the location in the horizontal direction (nominally left and right) while the y-coordinate is in the vertical direction (up and down). The line along which x values are measured is the x-axis. An x-coordinate to the left of center (zero) is negative, and to the right is positive. (In three dimensions, the x and y form a horizontal plane and the z coordinate is measured along the vertical axis.)

The horizontal value in a pair of coordinates: how far along the point is.

The x and y displacement from the origin along standard orthogonal axes

The origin is (0, 0), so the x-coordinate of the origin is 0. The point is located somewhere along the line x = 0, which is called the y-axis.

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A tangent of the vector is the projection of a vector along the axes of a coordinate system.

An abscissa is the coordinate representing the position of a point along a line perpendicular to the y-axis in a plane Cartesian coordinate system.

Yes., and their being along the coordinate axes does not change the answer.Consider the vectors: i, -i and j where i is the unit vector along the x axis and j along the y axis. The resultant of the three is j.

No. Glide reflection is a combination of an ordinary reflection and a slide along the line of reflection. A two reflections across two vertical lines is a translation without any reflection or rotation.

Angle of reflection

In the system of Cartesian coordinates in geometry, the x-coordinate is the location in the horizontal direction (nominally left and right) while the y-coordinate is in the vertical direction (up and down). The line along which x values are measured is the x-axis. An x-coordinate to the left of center (zero) is negative, and to the right is positive. (In three dimensions, the x and y form a horizontal plane and the z coordinate is measured along the vertical axis.)

A glide reflection is a combination of a reflection in a line and a translation along that line. This can be done in either order. A rotational transformation is a rotation around a fixed point or axis.

The horizontal value in a pair of coordinates: how far along the point is.

Not a coordinate but a pair (or larger set) of coordinates.These are ordered sets of numbers that give the distance of the point, from the origin, along each of the axes in multidimensional space.

Focusing.

A glide reflection is a combination of translation along some line and reflection in the line. Human footprints are a good example. Glide symmetry is another way to refer to it.

The x and y displacement from the origin along standard orthogonal axes