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How to find the scale factor of a dilation of a circle

Lesson slides for 'Draw an image of a dilation with a negative scale factor' In this lesson you will learn how to draw an image of dilation with a negative scale factor by using the center of dilation at the origin on the coordinate plane. (Slides used in the main video lesson in PowerPoint format.) Understand properties of dilations. a. Verify the properties that result from that dilations given by a center and a scale factor. b. Verify that a dilation produces an image that is similar to the pre-image. KY.HS.G.10 Apply the properties of similarity transformations to establish the AA criterion for two triangles to be similar. KY.HS.G.11 Comprehensive National Football League news, scores, standings, fantasy games, rumors, and more To answer this problem, we remember that the scale factor for a dilation can be calculated by comparing corresponding lengths on the object and its image. We can divide any length on the image, which we can think of as a new length, by the corresponding length on the object, which we can think of as an original length.Find the scale factor. Classify the dilation as an enlargement or a reduction. A. scale factor The fraction is 1 over 3.; reduction B. scale factor 4; enlargement C. scale factor 3; enlargement D. math. line y=3x-1 is transformed by a dilation with a scale factor of 2 and centered at (3,8). 1) Write the ratio of point A to point B that expresses the distance of point along the segment ­­write as PART to WHOLE 2) Calculate the Rise & Run from point A to point B 3) Find the value of the Rise and Run using the ratio that partitions the segment! 4) Locate the point P that corresponds to the Rise and Run. Comprehensive National Football League news, scores, standings, fantasy games, rumors, and more Scale Factor Notes: Explore Video The notes portion of the lesson gives students an opportunity to get a grasp on what scale factor is, and why it is acceptable to drop the units when using scale factor. Additionally, students get an opportunity to work out problems involving scale factor. mapped to circle B by a dilation with center (0, 6) and scale factor 3. So circle A and circle B are similar. B. Circle C with center (0, –3) and radius 2 is similar to circle D with center (5, 1) and radius 5. The scale factor 0.25 is less than 1, so the dilation is a(n) enlargement / reduction . 20. Image length 5 scale factor ∙ original length, so image height 5 ? , or cm. Know Need Plan Coordinates of vertices: P(2, 0), Z( , ), and G( , ) Center of dilation: ( , ) Scale factor: Coordinates of the images of the vertices Substitute the coordinates The amount of scaling is given by the scale factor (greater than zero) If the scale factor is less than 1, the figure is reduced and it is sometimes called a contraction If the scale factor is... State the translation rule and the scale factor of dilation. Question 20 options: A) To obtain C′, circle C is translated to the right three units and down two units and is dilated with a scale factor of one. B) To obtain C′, circle C is translated to the right three units and down two units and is dilated with a scale factor of two. dilation is called an enlargement. If the scale factor is less than 1, the new figure is smaller than the original figure.This type of dilation is called a reduction.Any dilation of a figure results in changes to the perimeter and area of the figure. Effect of Dilation on Perimeter Whenever a figure is dilated by a scale factor, the perimeter ... The scale factor 0.25 is less than 1, so the dilation is a(n) enlargement / reduction . 20. Image length 5 scale factor ∙ original length, so image height 5 ? , or cm. Know Need Plan Coordinates of vertices: P(2, 0), Z( , ), and G( , ) Center of dilation: ( , ) Scale factor: Coordinates of the images of the vertices Substitute the coordinates This video shows show to dilate a triangle on the coordinate plane by a scale factor of 1/2 and by a scale factor of 2/3. Graph the image of the given triangle under a dilation with a scale factor of −2 and center of dilation (0, 0) . to graph the triangle, select the "polygon" tool and draw the triangle by plotting each vertex in order until it lands back on the first vertex. do not retrace any sides. you may use the "move" tool to move your image if you needed. Circle M can be mapped onto circle N by a reflection across _____ and a dilation about the center of circle M by a scale factor of _____ 7. A translation is applied to ∆ & 1 ) to create ∆ &′ 1′ )′. Let the statement ( T, U)→( =, >) describe the translation. Definition of Scale Factor in the Definitions.net dictionary. Meaning of Scale Factor. What does Scale Factor mean? Information and translations of Scale Factor in the most comprehensive dictionary definitions resource on the web. Dilations worksheet Name _____ Determine if the following scale factor would create an enlargement, reduction, or isometric figure. 11. 3.5 12. 2/5 13. 0.6 14. 1 15. 4/3 16. 5/8. Given the point and its image, determine the scale factor. 17. A(3,6) A’(4.5, 9) 18. G’(3,6) G(1.5,3) 19. B(2,5) B’(1,2.5) 20.

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For example, a dilation with scale factor 3 / 2 and center point P maps each point X to an image point X’, so that PX’ = 3 / 2 PX. Then two geometric figures are similar, with scale factor k if there is some composite of dilation and rigid motion transformations that maps one figure exactly on top of the other. The scaling is uniform if and only if the scaling factors are equal (v x = v y = v z). If all except one of the scale factors are equal to 1, we have directional scaling. In the case where v x = v y = v z = k, the scaling is also called an enlargement or dilation by a factor k, increasing the area by a factor of k 2 and the volume by a factor ... image of line p after a dilation with center at the origin and a scale factor of 2. Graph line m by selecting two points on the coordinate plane. A line will be drawn through the points. 6.7 Dilations Worksheet Name _____ State whether a dilation with the given scale factor is a reduction or an enlargement. 1. k = 3 2. k = 3. k = 4. k = 0.93 Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement. Then find its scale factor. 5. 6. The amount of scaling is given by the scale factor (greater than zero) If the scale factor is less than 1, the figure is reduced and it is sometimes called a contraction If the scale factor is... Comprehensive National Football League news, scores, standings, fantasy games, rumors, and more So in our original N, we have this side here, it has a length of two, and then once we dilated it by, and used that scale factor, the corresponding side has a length of four. So we went from two to four. So we can figure out our scale factor, scale factor is equal to two. Two times two is equal to four. 2a. Geometry B Exam Review. The following formulas will be provided in the examination booklet: MCPS © 2012–2013 2. Formulas for Volume (V) and Surface Area (SA) VBh area of base height. SA B Ph 2 2 area of base + perimeter height . VBh rh area of base height = 2. SA B Ch r rh 2 2 base circumference height 2 2 2 11 area of base height 33. Jun 11, 2014 · Dilation - the description of a dilation includes the scale factor and the center of the dilation; Dilation - definition with a good drawing to illustrate dilation from Wolfram MathWorld; Dilation of a Polygon - adjust the slider to change the scale factor ; How to Perform Dilations - Math Warehouse provides three clickable animations ...