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- Example: Find the center of dilation if dilating (3, −7) by a factor 3 results in (9, −3). Let (𝑥, 𝑦) be the center of dilation. Then we have 𝑥 = (3 ∙ 3 − 9)∕ (3 − 1) = 0 𝑦 = (3 ∙ (−7) − (−3))∕ (3 − 1) = −9 So, the center of dilation is (0, −9)
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Learn how to find the center of dilation, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills.
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Example: Find the center of dilation if dilating (3, −7) by a factor 3 results in (9, −3). Let (𝑥, 𝑦) be the center of dilation. Then we have 𝑥 = (3 ∙ 3 − 9)∕(3 − 1) = 0 𝑦 = (3 ∙ (−7) − (−3))∕(3 − 1) = −9 So, the center of dilation is (0, −9)
- 3 min
- The dilation is from N to N' the only way to get there is to "expand" the triangle not "shrink" it
- It is a point where a dilation is based off of. For example: if a center of dilation is the center of a circle with radius 5 and is under a dilatio...
- If you draw an imaginary line from each of the corresponding points of the two figures. The center would be the point that all the lines converge at.
- The triangle isn't shrinking. Instead, it is growing. So the obvious answer is point D because the scale factor is greater *than* 1. Also remember...
Dilation math is used to expand and contract two-dimensional or three-dimensional figures in geometry. Let us learn more about the scale factor center of dilation, and how to calculate scale factor, with the help of examples, and FAQs.
Solved Examples on Dilation in Geometry. Example 1: A triangle ABC with AB = 6, BC = 8, and CA = 10, is dilated by a scale factor of 2 with the center of dilation at the origin. Find the lengths of the corresponding sides in the dilated triangle.
Dilations are a way to stretch or shrink shapes around a point called the center of dilation. The amount we stretch or shrink is called the scale factor. If the scale factor is greater than 1, the shape stretches. If it's between 0 and 1, the shape shrinks.
- 3 min
Jan 21, 2020 · With 13 worked examples, you'll learn how to apply Dilation Rules to solve for missing variables and create enlargements or reductions using scale factors.
Plot the new points to get the dilated shape. Explore this lesson to learn the definitions of dilation, scale factor, and center of dilation. Use our step-by-step calculator and example problems to learn how to perform dilations on a graph.
