s:
Translations are the process of moving around all of the coordinates that make up a shape. All the points move the same distance in the same direction. The transformation is isometric which means that it does not change in shape or sides. If the pre-image moves either right or up the coordination would be adding. If the pre-image moves either left or down the image would be subtraction.
The picture to the right is an example of translation. The answer to the question at the bottom would be (x,y)- (x+7, y +11). The pre-image of J is (-3,-8) and Translates to J’ (4, 3). To figure out the answer you have to figure out the difference between before and after translation. To start, x-coordinate of j and j’ is 4 and (-3). Next, subtract 4-(-3) …show more content…
Since the question asks to move the point 90 degrees clockwise switch the x and y and multiple x by –x. Making the answer, (-7, 0)
In this problem the question asks to rotate around the graph 180 degrees. To find out the answer, multiply (2, 2) by (-x, -y) which makes the answer (-2 ,-2).
Dilations:
Lastly, for dilation the problem is either makes it bigger or smaller. If it’s more than 1 then it would be bigger than the pre-image. If it’s smaller than 1 then it would be smaller than the pre-image. For the example below the starting point is at the origin. The shapes are non-isometric, since the shape can be enlarged or reduced in size. The formula for dilation is (x*k, y*k).
To figure out the answer first, you have to find out the pre-image shape coordinates. K is (-4, -8), L is(8, -8), M is(8, 8), and N is(-4, 8). For both the x and y multiply each by ¼ get the answer of K’ (-1, -2), L’ (2, -2), M’ (2,2), and N’ (-1, 2).
Example #1: The problem above gets bigger since the scale factor is 2 which is larger than 1. So the answer would be A(1, -3) A’(2, -6), B(5, -2), B’(10, -4), C(1, 4), C’(2,8), D(-3, -2), D’(-6, -4).
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Translations are the process of moving around all of the coordinates that make up a shape. All the points move the same distance in the same direction. The transformation is isometric which means that it does not change in shape or sides. If the pre-image moves either right or up the coordination would be adding. If the pre-image moves either left or down the image would be subtraction.
The picture to the right is an example of translation. The answer to the question at the bottom would be (x,y)- (x+7, y +11). The pre-image of J is (-3,-8) and Translates to J’ (4, 3). To figure out the answer you have to figure out the difference between before and after translation. To start, x-coordinate of j and j’ is 4 and (-3). Next, subtract 4-(-3) …show more content…
Since the question asks to move the point 90 degrees clockwise switch the x and y and multiple x by –x. Making the answer, (-7, 0)
In this problem the question asks to rotate around the graph 180 degrees. To find out the answer, multiply (2, 2) by (-x, -y) which makes the answer (-2 ,-2).
Dilations:
Lastly, for dilation the problem is either makes it bigger or smaller. If it’s more than 1 then it would be bigger than the pre-image. If it’s smaller than 1 then it would be smaller than the pre-image. For the example below the starting point is at the origin. The shapes are non-isometric, since the shape can be enlarged or reduced in size. The formula for dilation is (x*k, y*k).
To figure out the answer first, you have to find out the pre-image shape coordinates. K is (-4, -8), L is(8, -8), M is(8, 8), and N is(-4, 8). For both the x and y multiply each by ¼ get the answer of K’ (-1, -2), L’ (2, -2), M’ (2,2), and N’ (-1, 2).
Example #1: The problem above gets bigger since the scale factor is 2 which is larger than 1. So the answer would be A(1, -3) A’(2, -6), B(5, -2), B’(10, -4), C(1, 4), C’(2,8), D(-3, -2), D’(-6, -4).
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