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
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.
It will move but won't change shape or size
A. 8.54 units B. 7.28 units C. 3.61 units D. 12.04 units
They are (a, b-4).
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).
A function that translates a point ((x, y)) to the right by (a) units and up by (b) units can be expressed as (f(x, y) = (x + a, y + b)). This means you simply add (a) to the x-coordinate and (b) to the y-coordinate of the original point. In function notation, if (f(x, y)) represents the original point, the translated point can be represented as (f'(x, y) = (x + a, y + b)).
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).
To find the new point, start at (-2, -4) and move 10 units to the right, which adds 10 to the x-coordinate, resulting in 8. Then, move 7 units up, adding 7 to the y-coordinate, resulting in 3. Therefore, the new point is (8, 3).
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.
6
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.
Translation down 3 units refers to the movement of a geometric figure or point in a downward direction along the vertical axis by three units. This means that every point of the figure or point is shifted straight down, reducing its y-coordinate by 3. For example, if a point originally at (x, y) is translated down 3 units, its new position will be (x, y - 3).
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
(5,3)