98 Transformation Geometry Dilations

Transformation Geometry Dilations What is a Dilation?  Dilation is a transformation that produces a figure similar to the original by proportionally shrinking or stretching the figure Dilated PowerPoint Slide Proportionally Let’s take a look… And, of course, increasing the circle increases the diameter  When a figure is dilated, it must be proportionally largera or smaller So, we always have circle with a than thediameter original We are just certain Decreasingchanging the size of the circle the size or scale We have a circle with a decreases the diameter certain diameter  Same shape, Different scale Which of these are dilations?? A HINT: SAME SHAPE, DIFFERENT SIZE D C Scale Factor and Center of Dilation When we describe dilations we use the terms scale factor and center of dilation   Scale factor Center of Dilation Here we have Igor He is feet tall and the greatest width across his body is feet He wishes he were feet tall with a width of feet His center of dilation would be where the length and greatest width of body intersect Hehis wishes he were larger by a scale factor of Scale Factor   If the scale factor is larger than 1, the figure is enlarged If the scale factor is between and 0, the figure is reduced in size Scale factor > < Scale Factor < Are the following enlarged or reduced?? C A Scale factor of 1.5 D Scale factor of 0.75 Scale factor of 1/5 Scale factor of The Object and the Image B’    The original figure is called the object and the new figure is called the image The object is labeled with letters The image may be labeled with the same letters followed by the prime symbol Image C’ A’ B Object A C Dilations Used Everyday Remember   Dilations are enlargements or reductions What are some things that you would not mind dilating to make larger or smaller? Practice Dilation Quiz ... shape, Different scale Which of these are dilations? ? A HINT: SAME SHAPE, DIFFERENT SIZE D C Scale Factor and Center of Dilation When we describe dilations we use the terms scale factor and... labeled with the same letters followed by the prime symbol Image C’ A’ B Object A C Dilations Used Everyday Remember   Dilations are enlargements or reductions What are some things that you would...What is a Dilation?  Dilation is a transformation that produces a figure similar to the original by proportionally shrinking or stretching