To provide a precise answer, I need the specific coordinates of point x and point z. Generally, the coordinates that are the same will have identical values in both points, while the different coordinates will show variations in at least one dimension (x, y, or z). Please provide the coordinates for a more detailed comparison.
When a point with coordinates ((x, y)) is reflected over the x-axis, its x-coordinate remains the same while the y-coordinate changes sign. Thus, the new coordinates of the reflected point become ((x, -y)). This transformation effectively flips the point vertically, moving it to the opposite side of the x-axis.
When you reflect a figure across the x-axis, the x-coordinates of the points remain the same, while the y-coordinates change sign. This means that if a point is at (x, y), its reflection across the x-axis will be at (x, -y).
To determine the coordinates after a reflection in the x-axis, you keep the x-coordinate the same and negate the y-coordinate. For example, if a point has coordinates (x, y), its reflection in the x-axis will be (x, -y). This means that any point above the x-axis will move to an equivalent position below it, and vice versa.
When a point is reflected over the y-axis, the x-coordinate changes its sign while the y-coordinate remains the same. For example, if a point has the coordinates (x, y), after reflection over the y-axis, its new coordinates will be (-x, y). This transformation effectively mirrors the point across the y-axis.
When a point with coordinates ((x, y)) is reflected over the x-axis, its new coordinates become ((x, -y)). This means that the x-coordinate remains the same while the y-coordinate changes its sign. For example, if the original point is ((3, 4)), its reflection over the x-axis would be ((3, -4)).
Some of them but not all. For example, uniqueness. The rectangular coordinates (x, y) represent a different point if either x or y is changed. This is also true for polar coordinate (r, a) but only if r > 0. For r = 0 the coordinates represent the same point, whatever a is. Thus (x, y) has a 1-to-1 mapping onto the plane but the polar coordinates don't.
When a point with coordinates ((x, y)) is reflected over the x-axis, its x-coordinate remains the same while the y-coordinate changes sign. Thus, the new coordinates of the reflected point become ((x, -y)). This transformation effectively flips the point vertically, moving it to the opposite side of the x-axis.
When you reflect a figure across the x-axis, the x-coordinates of the points remain the same, while the y-coordinates change sign. This means that if a point is at (x, y), its reflection across the x-axis will be at (x, -y).
Point A has coordinates (x,y). Point B (Point A rotated 270°) has coordinates (y,-x). Point C (horizontal image of Point B) has coordinates (-y,-x).
The x-axis is a part of a graph that provides a reference for the x-coordinates of points.The coordinates of a point are shown as (x,y) with x being the x-coordinate. The x-coordinate is plotted in reference to the x-axis.So in summary they are not the same but related.
To determine the coordinates after a reflection in the x-axis, you keep the x-coordinate the same and negate the y-coordinate. For example, if a point has coordinates (x, y), its reflection in the x-axis will be (x, -y). This means that any point above the x-axis will move to an equivalent position below it, and vice versa.
When a point is reflected over the y-axis, the x-coordinate changes its sign while the y-coordinate remains the same. For example, if a point has the coordinates (x, y), after reflection over the y-axis, its new coordinates will be (-x, y). This transformation effectively mirrors the point across the y-axis.
We assume that the ambient space is equipped with the standard Cartesian coordinate system and specify points by their Cartesian coordinates.The Cartesian coordinates of a point in the plane are a pair (x,y).The homogeneous coordinates of a point in the plane are a triple (x,y,w) with w!=0. The Cartesian coordinates of a point with homogeneous coordinates (x,y,w) are (x/w,y/w).Remark: We notice that the homogeneous coordinates of a point are not unique. Two triples that are multiples of each other specify the same point.The Cartesian coordinates of a point are of type double in the floating point kernel and of type rational in the rational kernel. The homogeneous coordinates of a point in the rational kernel are of type integer. Points in the floating point kernel are stored by their Cartesian coordinates.For points in the rational kernel it is more efficient to store them by their homogeneous coordinates, i.e., to use the same denominator for x- and y-coordinate.For compatibility also points in the floating point kernel have homogeneous coordinates (x,y,1.0). These homogeneous coordinates are of type double.
When a point with coordinates ((x, y)) is reflected over the x-axis, its new coordinates become ((x, -y)). This means that the x-coordinate remains the same while the y-coordinate changes its sign. For example, if the original point is ((3, 4)), its reflection over the x-axis would be ((3, -4)).
Substitute the x coordinate into the equation for x and calculate y. If the formla gives the same y value as the coordinates, the point is on the line. If it is diffent, it is not on the line.
To determine the coordinates of a point after a reflection in the y-axis, you simply negate the x-coordinate while keeping the y-coordinate the same. For a point with coordinates ((x, y)), its reflection across the y-axis will be at ((-x, y)). This transformation effectively flips the point over the y-axis, maintaining its vertical position but reversing its horizontal position.
The x co-ordinate of each point on a vertical line is the same. So pick two points with the same x coordinates and with y-coordinates as far apart as the scale allows and join them.