The x-coordinate changes.
Given only the coordinates of that point, one can infer that the point is located 10 units to the right of the y-axis and 40 units above the x-axis, on the familiar 2-dimensional Cartesian space.
The coordinates are (10, 5).
(-4,-2)
As the square is of 3units it. Will be (3,3).
It will move 6 units across the x axis then 2 units up parallel to the y axis on the coordinate plane.
To translate a figure in a coordinate plane, you add specific values to the x-coordinates and y-coordinates of each point of the figure. For example, if you want to translate a figure 3 units to the right and 2 units up, you would add 3 to each x-coordinate and 2 to each y-coordinate. The result will be the new coordinates of the translated figure, maintaining its shape and orientation.
To translate the point (x, y) m units left and n units up, you subtract m from the x-coordinate and add n to the y-coordinate. The new coordinates after the translation will be (x - m, y + n).
To translate the point (10, -60) 40 units down, you subtract 40 from the y-coordinate, resulting in -100. To translate it 30 units left, you subtract 30 from the x-coordinate, resulting in -20. Therefore, the new coordinates after the translation are (-20, -100).
Given only the coordinates of that point, one can infer that the point is located 10 units to the right of the y-axis and 40 units above the x-axis, on the familiar 2-dimensional Cartesian space.
To translate a triangle 3 units left and 2 units up, you would subtract 3 from the x-coordinates of each vertex and add 2 to the y-coordinates. For example, if a triangle has vertices at (x1, y1), (x2, y2), and (x3, y3), the new vertices after translation would be (x1 - 3, y1 + 2), (x2 - 3, y2 + 2), and (x3 - 3, y3 + 2). This process shifts the entire triangle to its new position on the coordinate plane.
The new coordinates are (3, -5).
The description "4 units down and 3 units right" refers to a movement in a coordinate plane. Starting from a given point, you would move vertically downward by 4 units and then horizontally to the right by 3 units. This would effectively change the coordinates of the point by decreasing the y-coordinate by 4 and increasing the x-coordinate by 3. The final position would be represented as (x + 3, y - 4) if starting from the point (x, y).
The coordinates of a square can be defined by the positions of its four corners (vertices) in a Cartesian coordinate system. For example, if a square is centered at the origin with a side length of 2 units, its vertices could be at the coordinates (1, 1), (1, -1), (-1, -1), and (-1, 1). The specific coordinates will vary based on the square's size and position in the coordinate plane.
Coordinates: R is (-6, 2) and T is (1, 2) Length of side RT is 7 units using the distance formula
Here's an example: In the coordinate plane, the point is translated to the point . Under the same translation, the points and are translated to and , respectively. What are the coordinates of and ? Any translation sends a point to a point . For the point in the problem, we have the following. So we have . Solving for and , we get and . So the translation is unit to the right and units up. See Figure 1. We can now find and . They come from the same translation: unit to the right and units up. The three points and their translations are shown in Figure 2.
On a graph, the distance above and below the x-axis is given by the y-coordinate. Each point has a distinct location on the graph given by (x,y) where x represents the horizontal placement of the point and y represents the vertical placement. As you move from one point to another on the graph, your coordinates change. For example as you go from the point (2, 5) to (6, 15) your x-values went from 2 to 6, meaning they changed by 4 units (the difference in the x-coordinates). The x-values are your horizontal placements, so the horizontal change was 4 units. The y-values, are your vertical placements. They went from 5 to 15, a difference of 10 units, so the Vertical Change is 10 units. Put simply, the vertical change is the difference in the y-coordinates.
A point plotted with the coordinates (3, 10) represents a specific location on a Cartesian coordinate system, where the first number (3) indicates the x-coordinate and the second number (10) indicates the y-coordinate. This means the point is located 3 units along the x-axis and 10 units up along the y-axis. It provides a precise reference for identifying positions in two-dimensional space.