Assuming standard notation of (x,y),
(5,2) translated 4 down (ie x-4) and 1 left (ie y-1)
5-4=1
2-1=1
(1,1) is the new coordinate
4
They are (a, b-4).
3.61 units
YES From your start point draw a line 5 units up, from this point draw a line 5 units across, from this point draw a line 5 units down, from this point draw a line 5 units back to the start. You have drawn a square with a total perimeter length of 20 units and a area of 25 square units.
A. 8.54 units B. 7.28 units C. 3.61 units D. 12.04 units
It will move but won't change shape or size
They are (a, b-4).
6
Compare it's position to the origin. The x coordinate is the number of units to the right of the origin. (If it is to the left of the origin the x coordinate is negative.) The y coordinate is the number of units above the origin. (If it is below, the y coordinate is negative.) The point is denoted (x,y) with the x coordinate in place of the x and the y coordinate in place of the y.
28
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.
(5,3)
That depends on the direction of the point in reference to the original coordinate. If the new point is 5 units to the right of (1,3), then the point is (6,3). If the point is 5 units left of (1,3), then the point is (-4,3). And so on.
(2,1)
On the 2-dimensional coordinate plane it is a point that is on the y-axis, two units of length away from the origin.
It will move 6 units across the x axis then 2 units up parallel to the y axis on the coordinate plane.
The x coordinate will be -5, so any point (-5,y) will satisfy this.
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.