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What is the line over which a figure is reflected?
It is the axis of reflection.
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.
What are the coordinates of the reflection of (a b) over the y-axis?
They are (-a, b).
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 transformation is equivalent to reflection over a point geometry?
Reflection over a point is equivalent to enlargement with the same point as the focus of enlargement and a scale factor of -1.
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 reflection of a point that is reflected over the x- axis and then over the x- axis?
It will be where it was, to start with.
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.
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 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.
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.
Will the distance between a point with a whole number coordinates and its reflection over the X axis always be even?
Yes, it will.
What is a reflection across the x-axis?
A reflection across the x-axis is a transformation that flips a point or shape over the x-axis. For a point with coordinates (x, y), its reflection will be (x, -y), meaning the y-coordinate changes sign while the x-coordinate remains the same. This transformation creates a mirror image of the original point or shape below the x-axis. It is commonly used in geometry and can be applied to entire figures as well.
Triangle 2 is a reflection over the x-axis of triangle 1. Point A of triangle 1 is (-6 -1). What would be the coordinates of point A'?
To find the coordinates of point A' of triangle 2, which is a reflection of point A over the x-axis, you need to change the sign of the y-coordinate while keeping the x-coordinate the same. Since point A is at (-6, -1), the reflected point A' will have coordinates (-6, 1).
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 are the coordinates of point A when the shape is reflected over the y-axis?
If a point is reflected about the y-axis then the y co-ordinate remains unchanged but the x co-ordinate changes its sign. Examples : (3,7) after reflection becomes (-3,7) (-2, 5) after reflection becomes (2,5)
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.
