The coordinates must be as follows:
First quadrant: positive, positive
Second quadrant: negative, positive
Third quadrant: negative, negative
Fourth quadrant: positive, negative
To determine the coordinates of the image produced by a composition of transformations applied to a point, you need to sequentially apply each transformation to the original coordinates. Start with the initial point's coordinates and use the rules for each transformation (such as translation, rotation, or reflection) to find the new position. After applying all transformations in the specified order, you will arrive at the final coordinates of the image. If specific transformations are provided, please share them for a more detailed answer.
To reflect a point across the line ( y = x ), swap its x and y coordinates. For example, if the original point is ( (a, b) ), the reflected point will be ( (b, a) ). This transformation can also be applied to entire shapes by swapping the coordinates of each vertex.
A rectangular coordinate grid consists of two perpendicular lines, the x-axis (horizontal) and the y-axis (vertical), which intersect at the origin (0,0). Each point on the grid is defined by an ordered pair of numbers (x, y), representing its horizontal and vertical positions, respectively. The grid divides the plane into four quadrants, each with distinct signs for x and y coordinates. Additionally, the distance between points can be calculated using the Pythagorean theorem based on their coordinates.
In coordinate geometry, each point in the plane is identified by an ordered pair, (x,y) which are known as the coordinates of the point. The equation of any straight line in the coordinate plane can be written in the form y = mx + c so that the coordinates of each point on the line satisfies this equation (and the coordinates of a point outside the line doed not satisfies it). The equation in this form is known as the slope-intercept form. m is the slope and c is the intercept.
If you mean points of: (3, -2) (-3, -2) (-4, 3) and (2, 3) then it graphs out as a parallelogram occupying all 4 quadrants.
2
two
2
The coordinates of the point satisfy each of the equations.
In a two-axis system, each point has coordinates that specify its position in relation to the two axes. The horizontal axis is typically labeled x, and the vertical axis is labeled y. The coordinates of a point are written as (x, y).
Correct.
So that when discussing a number of points, the coordinates of each point can be clearly distinguished from one another.
To determine the coordinates of the image produced by a composition of transformations applied to a point, you need to sequentially apply each transformation to the original coordinates. Start with the initial point's coordinates and use the rules for each transformation (such as translation, rotation, or reflection) to find the new position. After applying all transformations in the specified order, you will arrive at the final coordinates of the image. If specific transformations are provided, please share them for a more detailed answer.
The coordinates of a point in the n-space are ordered sets of n numbers, each of which measures the distance of the point from the origin along the n-axes in a given order.
The x and y axes on the Cartesian plane intersect each other at right angles at the point of origin whose coordinates are at (0, 0)
The x and y axes on the Cartesian plane intersect each other at right angles at the point of origin whose coordinates are at (0, 0)
There are 2 coordinate in a two axis. system.