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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).
If abc is reflected across the y-axis what are the coordinates of a?
If point ( a ) has coordinates ((x, y)), its reflection across the y-axis would change the x-coordinate to its negative, resulting in the new coordinates ((-x, y)). Therefore, the coordinates of point ( a ) after reflection across the y-axis would be ((-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).
How do you determine the coordinates of a point after a reflection in the you axis?
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.
What is the reflection of point P-1 6 across the line y x?
To find the reflection of point P(-1, 6) across the line y = x, you swap the x and y coordinates of the point. Therefore, the reflection of P(-1, 6) is P'(6, -1).
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.
How do you do the reflection across yx?
To reflect a point across the line ( y = x ), swap its x and y coordinates. For example, if the original point is ( (a, b) ), the reflected point will be ( (b, a) ). This transformation can also be applied to entire shapes by swapping the coordinates of each vertex.
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).
How do you determine the coordinates of a point after a reflection in the y-axis?
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 example, if the original point is represented as (x, y), the reflected point will be (-x, y). This transformation effectively flips the point across the y-axis.
XYZ is relected across the line x 3. What is the reflection image of Z?
To determine the reflection of point Z across the line x = 3, you need to find the horizontal distance from Z to the line. If Z has coordinates (x, y), the reflected point Z' will have coordinates (6 - x, y), as it will be the same distance from the line x = 3 on the opposite side. Thus, the reflection image of Z is Z' at the coordinates (6 - x, y).
