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Reflecting points across the x-axis involves flipping them vertically, meaning that if a point has coordinates (x, y), its reflection will be at (x, -y). Conversely, reflecting points across the y-axis involves flipping them horizontally, resulting in the coordinates changing from (x, y) to (-x, y). These transformations change the position of points in a Cartesian coordinate system while preserving their distance from the axes.
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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).
Can a point at (04) be reflected across the y-axis?
Yes, a point at (0, 4) can be reflected across the y-axis. When reflecting a point across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Therefore, the reflection of the point (0, 4) across the y-axis is still (0, 4), as the x-coordinate is already zero.
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.
Which transformation will be equivalent to rotating a figure 90 counterclockwise?
An equivalent transformation to rotating a figure 90 degrees counterclockwise can be achieved by reflecting the figure across the line (y = x) and then reflecting it across the x-axis. This combination of reflections results in the same final orientation as the 90-degree counterclockwise rotation.
Reflection across the x-axis?
In transformations a reflection across the x axis produces a mirror image
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).
Can a point at (04) be reflected across the y-axis?
Yes, a point at (0, 4) can be reflected across the y-axis. When reflecting a point across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Therefore, the reflection of the point (0, 4) across the y-axis is still (0, 4), as the x-coordinate is already zero.
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.
When reflecting something over the x Axis but there are points already there what can be done if there is a zero for the y coordinate?
Point with y = 0 do not move.
Which transformation will be equivalent to rotating a figure 90 counterclockwise?
An equivalent transformation to rotating a figure 90 degrees counterclockwise can be achieved by reflecting the figure across the line (y = x) and then reflecting it across the x-axis. This combination of reflections results in the same final orientation as the 90-degree counterclockwise rotation.
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)
Reflection across the x-axis?
In transformations a reflection across the x axis produces a mirror image
Do you start putting points on the x axis or the y axis?
y-axis
Where is the x axis and the y axis?
The x-axis runs horizontally across the graph and the y-axis runs vertically on it.
What is the abscissa of all points on x axis is?
The abscissa of all points on the x-axis is the x-coordinate, which can take any real number value. Since points on the x-axis have a y-coordinate of zero, the abscissa represents their position along the horizontal axis. Therefore, for any point on the x-axis, the abscissa is simply the x-value of that point.
What does Rx0 mean?
If it is Rx=0, it means you are reflecting your set of coordinates and reflect it across the x-axis when x=0. So it pretty much is saying reflect it over the y-axi
How doe the reflection across the x axis change the coordinates pf a point?
If your points are (p,f), they become (p,-f).
