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What kind of correspondence there is between the points in the coordinate plane?
There are infinitely many possible correspondences between points in the coordinate plane. Some examples: Every point with coordinates (x+1, y) is one unit to the right of the point at (x, y). Every point with coordinates (x, y+1) is one unit up from the point at (x, y). Every point with coordinates (x, -y) is the reflection, in the y-axis of the point at (x, y).
What coordinates will a point xy rotated 180 about the origin have?
When a point with coordinates (x, y) is rotated 180 degrees about the origin, its new coordinates become (-x, -y). This transformation reflects the point across both the x-axis and y-axis, effectively reversing its position. Thus, if you start with the point (x, y), after the rotation, it will be located at (-x, -y).
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 midpoint B on AC?
The midpoint B on line segment AC is the point that divides the segment into two equal lengths. To find the coordinates of B, you can use the midpoint formula: B = ((x₁ + x₂)/2, (y₁ + y₂)/2), where (x₁, y₁) are the coordinates of point A and (x₂, y₂) are the coordinates of point C. This point B represents the average of the coordinates of points A and C.
How are the coordinates of a point affected by a reflection of the point over the x-axis?
When a point with coordinates ((x, y)) is reflected over the x-axis, its x-coordinate remains the same while the y-coordinate changes sign. Thus, the new coordinates of the reflected point become ((x, -y)). This transformation effectively flips the point vertically, moving it to the opposite side of the x-axis.
Describe how to find the coordinates of the image of a point after a 270 degree rotation?
Point A has coordinates (x,y). Point B (Point A rotated 270°) has coordinates (y,-x). Point C (horizontal image of Point B) has coordinates (-y,-x).
What is the coordinates for y equals x y equals -x plus 2?
The coordinates of the point of intersection is (1,1).
What kind of correspondence there is between the points in the coordinate plane?
There are infinitely many possible correspondences between points in the coordinate plane. Some examples: Every point with coordinates (x+1, y) is one unit to the right of the point at (x, y). Every point with coordinates (x, y+1) is one unit up from the point at (x, y). Every point with coordinates (x, -y) is the reflection, in the y-axis of the point at (x, y).
What coordinates will a point xy rotated 180 about the origin have?
When a point with coordinates (x, y) is rotated 180 degrees about the origin, its new coordinates become (-x, -y). This transformation reflects the point across both the x-axis and y-axis, effectively reversing its position. Thus, if you start with the point (x, y), after the rotation, it will be located at (-x, -y).
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 midpoint B on AC?
The midpoint B on line segment AC is the point that divides the segment into two equal lengths. To find the coordinates of B, you can use the midpoint formula: B = ((x₁ + x₂)/2, (y₁ + y₂)/2), where (x₁, y₁) are the coordinates of point A and (x₂, y₂) are the coordinates of point C. This point B represents the average of the coordinates of points A and C.
How are the coordinates of a point affected by a reflection of the point over the x-axis?
When a point with coordinates ((x, y)) is reflected over the x-axis, its x-coordinate remains the same while the y-coordinate changes sign. Thus, the new coordinates of the reflected point become ((x, -y)). This transformation effectively flips the point vertically, moving it to the opposite side of the x-axis.
How does reflection across the y-axis change the coordinates of the orignal point?
y' = y, x' = -x.
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 reflect a figure across the y axis?
Replace each point with coordinates (x, y) by (-x, y).
How do you calculate the midpoint of a pair of coordinates in maths?
The average of the x coordinates of the point(s) is the x coordinate of the mid point, The average of the y coordinates of the point(s) is the y coordinate of the mid point, and so on, through 3, 4 dimensions, etc.
What Ida a point on both the x and y axis?
A point on both the x and y axes is the origin, which is represented by the coordinates (0, 0). This point is where the two axes intersect, and it serves as a reference point for defining positions in a two-dimensional Cartesian coordinate system. Any point with coordinates (x, 0) lies on the x-axis, while points with coordinates (0, y) lie on the y-axis.
