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Dilations

Dilations.

chaeli
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Dilations

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  1. Dilations Dilations are what you use as a scale factor to enlarge or reduce a figure from its normal size so lets say I have a figure dimensions 3 by 6 and I wanted to dilate it by 2 I would multiply 3 by 2 to get 6 and 6 by 2 to get 12 so my new dimensions would be 6 by 12 compared to the original 3 by 6 you would find the scale factor of it usually.

  2. Translations • A translation is what is used in coordinate grids to slide the figure or point by a specific two set of numbers first one for the x axis and the second one for the y axis. So I have 3,5 and I wanted to translate it 3 units right and 5 units up right would make you count up the number line if you go left you count down so 3 plus 3 equals 6 and 5 plus 5 equals 10 so your new coordinates are 6,10.

  3. Reflections • Reflections is what is used to flip a figure in a coordinate grid or plane it is used to flip or reflect over the x or y axis. Like I want to reflect figure jklm over the y axis from quadrant 1 to quadrant 2 the dimensions answers will be -,+ but when you reflect across the y axis you would just got across to the next quadrant exactly to the right or left of the one you are in.

  4. Reduction 8 by 6 reduced by 1 / 2 would get you a 4 by 3 figure. Because in a reduction the scale factor has to be less than one so if 8 is reduced by one half to get 4 then 6 reduced by 1 / 2 will get you 3 so the new dimensions is 4 by 3. 8 4 6 6 3

  5. enlargement • In an enlargement it is totally different you would have a scale factor greater than 1 amd it will go from small to large so lets say we have a small figure dimensions 5 by 4 and we enlarge it by a scale factor of 3 you will have the scale factor greater than one and your answer will be a figure bigger than the one we already have . So the answer for those dimensions are 15 by 12. • 5 • 15 • 4 • 12

  6. Affected area of a changed 2D figure • Well when you have area being affected it would be say no to oreos you would set up a fraction new area over the original new / original so if your new area is 12 and the old was four it would be 12 / 4 then you would reduce it by 4 to get 3 / 1 you would write that answer as 3 / 1 times the size larger.

  7. Affected perimeter of a changed 2D figure • Perimeter would be the same way except you will be dealing with different sets vof numbers it is still say no to oreos new perimeter over original perimeter so lets say the new is 3and the original is 9 so 3 / 9 would have to be reduced by 3 to get you 1/3 and you would write in a complete sentence as it is 1/3 the size of.

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