.
5
Example: if you have a point with the coordinates (2,4), a reflection over the y-axis will result in the point with coordinates (-2,4).
Reflecting the the x-axis (line y=0) leaves the x-coordinate unchanged and negates the y-coordinate: (x, y) -> (x, -y) For example: (1, 2) -> (1, -2) (3, -4) -> (3, 4)
No. It changes by double the (perpendicular) distance from the point to the line.
It remains a vertical asymptote. Instead on going towards y = + infinity it will go towards y = - infinity and conversely.
It will be where it was, to start with.
me no no
The point (5,3) is reflected to (-5, 3)
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.
The location of point A depends on the centre of rotation (at the last stage). Since this is not specified, it is not possible to answer the question.centre of
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.
5
If a point is reflected about the y-axis then the y co-ordinate remains unchanged but the x co-ordinate changes its sign. Examples : (3,7) after reflection becomes (-3,7) (-2, 5) after reflection becomes (2,5)
It is the axis of reflection.
To reflect a point across the x-axis, you simply change the sign of its y-coordinate while keeping the x-coordinate the same. For example, if the original point is (x, y), the reflected point will be (x, -y). This transformation flips the point vertically over the x-axis.
Reflections are congruence transformations where the figure is reflected over the x-axis, y-axis, or over a line.
The axis over which a design is reflected is typically a line or a point that serves as a mirror, allowing for the symmetrical duplication of shapes or elements on either side. This axis can be vertical, horizontal, or diagonal, depending on the desired effect in the design. The reflection creates a balanced and harmonious aesthetic, often enhancing the visual appeal of the composition.