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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 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.
What is a transformation gives the same result as a rotation of 180 around the origin followed by a reflection over the y axis?
A transformation that yields the same result as a rotation of 180 degrees around the origin followed by a reflection over the y-axis is a reflection over the x-axis. When you rotate a point 180 degrees around the origin, its coordinates change to their negatives, and reflecting that result over the y-axis switches the sign of the x-coordinate again, effectively mirroring it across the x-axis. Thus, the combined effect is equivalent to just reflecting over the x-axis.
What is a math reflection?
A reflection in math is when a shape is flipped over the x or y axis by counting how many units the points are away from the axis and putting the point on the other side the same distance away. Shapes which are reflections are labeled with a '. Example: Shape ABC was reflected over the x axis to create shape A'B'C'.
What is the line over which a figure is reflected?
It is the axis of reflection.
