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What transformation gives the same result as a rotation of 180 around the origin followed by a reflection over the y axis?
A rotation of 180 degrees around the origin followed by a reflection over the y-axis is equivalent to a single transformation: a reflection over the x-axis. This is because the 180-degree rotation negates both the x and y coordinates, and the subsequent reflection over the y-axis negates the x-coordinate again, resulting in a reflection over the x-axis.
What single transformation is equivalant to a reflection in the y axis followed by a reflection in the x axis followed by another reflection in the y axis?
reflection in the x-axis
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 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 do you reflect over the y?
To reflect a point or a shape over the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same. For example, if a point is located at (x, y), its reflection over the y-axis will be at (-x, y). This process effectively flips the shape or point horizontally across 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 does reflection over the x-axis mean?
(x,-y)
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.
What transformation gives the same result as a rotation of 180 around the origin followed by a reflection over the y axis?
A rotation of 180 degrees around the origin followed by a reflection over the y-axis is equivalent to a single transformation: a reflection over the x-axis. This is because the 180-degree rotation negates both the x and y coordinates, and the subsequent reflection over the y-axis negates the x-coordinate again, resulting in a reflection over the x-axis.
What single transformation is equivalant to a reflection in the y axis followed by a reflection in the x axis followed by another reflection in the y axis?
reflection in the x-axis
What are the coordinates of the reflection of (a b) over the y-axis?
They are (-a, b).
What transformation gives the same result as a rotation of 180 around the origin followed by a reflection over the x axis?
Reflection in the y-axis.
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 in Geometry?
Reflections are congruence transformations where the figure is reflected over the x-axis, y-axis, or over a line.
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.
Which graph shows a reflection across the x-axis?
y = -f(x) is a reflection of y = f(x) in the x axis.
What is a horizontal reflection?
a horizontal reflection is a reflection of the y axis. i.e (-fx)
