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Marcus Rivera

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Q: What is the image point of (0,4) after a translation right 2 units and down 3 units?
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What is the image point of (8,−2)(8,-2)(8,−2) after a translation right 5 units and up 2 units?

If you we're at the point (8,-2) and you went 5 units right and 2 units up, you'd be at (13,0).


What are the coordinates of the point (12) after a translation right 9 units and up 3 units?

The coordinates are (10, 5).


How to translate the coordinates of a point?

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.


Which sequence of transformation produces an image that is not congruent to the original figure?

A translation of 4 units to the right followed by a dilation of a factor of 2


What is the translation of a point z to a two units to the right of z?

(z,z+2) or (z+2,z)


What translation moves a triangle 4 units to the right and 8 units up?

the translation of 2 is the one that triangle moves by 4 units right and 8 units up


Translate 4 units right and 5 units down?

Translating a point 4 units to the right means adding 4 to the x-coordinate, and translating it 5 units down means subtracting 5 from the y-coordinate. So, if the original point is (x, y), the new point after the translation would be (x+4, y-5). This transformation is a type of rigid transformation known as a translation, which moves the entire figure without changing its size or shape.


Point (a b) is translated 4 units down. What are the coordinates of the image of (a b)?

They are (a, b-4).


What are the coordinates of a point two units to the right of the y-axis and three units above x-axis?

The coordinates of a point two units to the right of the y-axis and three units above the x-axis would be (2,3).


Which rule describes a translation that is 8 units to the right and 2 units up?

(x,y) > (x + 8, y + 2)


What rule describes a translation that is 3 units to the right and 5 units down?

For this translation, you need to replace every occurence of "x" with "x-3", and every occurence of "y" with "y+5".


Which point is 5 units from (1 3) on a coordinate plane?

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.