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How do you reflect across the x axis?
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.
In a reflection along the x axis a given coordinate 2 -1 transforms itself into?
In a reflection along the x-axis, the y-coordinate of a point changes sign while the x-coordinate remains the same. Therefore, the coordinate ( (2, -1) ) transforms into ( (2, 1) ).
What conjecture can you make about the location of a point when the sign of the x-coordinate is changed?
It will be at exactly the same distance from the y-axis, but on the other side of it.
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 point of (1-2?
The reflection point of a point across the x-axis can be found by changing the sign of the y-coordinate. For the point (1, -2), its reflection across the x-axis is (1, 2) because the x-coordinate remains the same while the y-coordinate changes from -2 to 2.
What is the rule for finding the reflection of a point over the axis?
For a reflection over the x axis, leave the x coordinate unchanged and change the sign of the y coordinate.For a reflection over the y axis, leave the y coordinate unchanged and change the sign of the x coordinate.
How do you reflect across the x axis?
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.
In a reflection along the x axis a given coordinate 2 -1 transforms itself into?
In a reflection along the x-axis, the y-coordinate of a point changes sign while the x-coordinate remains the same. Therefore, the coordinate ( (2, -1) ) transforms into ( (2, 1) ).
What conjecture can you make about the location of a point when the sign of the x-coordinate is changed?
It will be at exactly the same distance from the y-axis, but on the other side of it.
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 point of (1-2?
The reflection point of a point across the x-axis can be found by changing the sign of the y-coordinate. For the point (1, -2), its reflection across the x-axis is (1, 2) because the x-coordinate remains the same while the y-coordinate changes from -2 to 2.
What is the reflection of (-1-5) across y axis?
The reflection of a point across the y-axis involves changing the sign of the x-coordinate while keeping the y-coordinate the same. In this case, the point (-1, -5) will reflect to (1, -5) across the y-axis. This is because the x-coordinate changes from -1 to 1, while the y-coordinate remains -5.
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 the rule for a 270 degree counter clockwise rotation?
A 270-degree counterclockwise rotation around the origin in a Cartesian coordinate system transforms a point ((x, y)) to the new coordinates ((y, -x)). This means the x-coordinate becomes the y-coordinate, and the y-coordinate changes its sign and becomes the new x-coordinate. Essentially, it rotates the point three-quarters of the way around the origin.
How do you reflect over the x axis when a point is over the x axis already?
Reflecting a point over the x-axis involves changing the sign of the y-coordinate while keeping the x-coordinate the same. If a point is already located over the x-axis, its y-coordinate is positive. When reflecting this point over the x-axis, the positive y-coordinate becomes negative, resulting in the point being located below the x-axis.
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 can you reflect figures in the x-axis and y-axis?
For a given coordinate pair. A reflection in the y-axis is making the 'x' term negative. e.g. ( a,b,) ' (-a, b). Similarly for a reflection in the x-axis is making the 'y' term negative. e/.g. ( c,d) ; ( c,-d).
