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How do you determine the coordinates after a reflection in the x axi?
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.
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 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 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 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.
How do you determine the coordinates after a reflection in the x axi?
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.
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 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 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 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.
How does reflection across the y-axis change the coordinates of the orignal point?
y' = y, x' = -x.
How does a reflection across the y axis change the coordinates of a point?
Reflection across the y-axis changes the sign of the x - coordinate only, that is, (x, y) becomes (-x, y).
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.
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.
Will the distance between a point with a whole number coordinates and its reflection over the X axis always be even?
Yes, it will.
How are the coordinates of a point affected by a reflection of the point over the x-axis?
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.
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.
