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How does reflection across the y-axis change the coordinates of the orignal point?
y' = y, x' = -x.
What is the reflection image of P 0 0 after two reflections first across x -3 and then across y -3?
Each reflection produces a mirror image.=================================Answer #2:With the initial point at (0, 0) ... the origin of coordinates ...-- the first reflection, across x = -3, moves the point to (-6, 0), and-- the second reflection, around y = -3, moves it to (-6, -6) .
Will the distance between a point with whole number coordinates and its reflection over the x-axis always be an even number?
Yes. Suppose the point is P = (x, y). Its reflection, in the x-axis is Q = (x, -y) and then |PQ| = 2y.
How do you determine the coordinates of a point after a reflection in the x-axis?
The points after reflection will follow points equal but different direction, to the path followed before the reflection. So, if the line would cover 3.5 on the x and 5 on the y; it will reflect symmetrically giving you the formula to get your answer.
How do you reflect a figure across the y axis?
Replace each point with coordinates (x, y) by (-x, y).
What is the rule for a reflection across the origin?
To reflect a point across the origin, you simply change the sign of both the x- and y-coordinates of the point. This transformation involves multiplying the coordinates by -1.
How does reflection across the y-axis change the coordinates of the orignal point?
y' = y, x' = -x.
How doe the reflection across the x axis change the coordinates pf a point?
If your points are (p,f), they become (p,-f).
When you reflect a figure across the x axis do the x-coordinates change or remain the same?
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).
What is the reflection of you across the y axis?
The reflection of a point or shape across the y-axis involves changing the sign of the x-coordinates while keeping the y-coordinates the same. For example, if you have a point (x, y), its reflection across the y-axis would be (-x, y). This transformation effectively flips the figure horizontally, creating a mirror image on the opposite side of the y-axis.
What does reflection over the y-axis mean?
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).
What is the reflection image of P 0 0 after two reflections first across x -3 and then across y -3?
Each reflection produces a mirror image.=================================Answer #2:With the initial point at (0, 0) ... the origin of coordinates ...-- the first reflection, across x = -3, moves the point to (-6, 0), and-- the second reflection, around y = -3, moves it to (-6, -6) .
How do you find the coordinates of a quadrilateral after reflecting it over the y axis?
If the coordinates of a point, before reflection, were (p, q) then after reflection, they will be (-p, q).
What is a definition of a reflection of a point P across the axis to the point P?
The reflection of a point ( P ) across an axis (such as the x-axis or y-axis) results in a new point ( P' ) that is equidistant from the axis but on the opposite side. For example, if ( P ) is at coordinates ( (x, y) ), its reflection across the x-axis would be ( P' ) at ( (x, -y) ). The distance between ( P ) and the axis remains the same, ensuring that the two points are symmetrical with respect to that axis.
What happens to the coordinates when a point is reflected over the y-axis?
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.
What is the reflection of point (-16) across the lines yx?
It is (6, -1).
A point P has coordinates (1, 4). What are its new coordinates after reflecting point P across the x-axis?
The answer is simple, it is: (-1, -4) EZ(Easy)
