<p>G.CO.A.2 STUDENT NOTES & PRACTICE WS #3/#4 – geometrycommoncore.com 1</p><p>An ISOMETRIC TRANSFORMATION (RIGID MOTION) is a transformation that preserves the distances and/or angles between the pre-image and image.</p><p>In simpler words…. An isometric transformation maintains the shape and size of the pre-image.</p><p>Example #1 Example #2 Example #3 D I L' C' J I' L B' J' C E E' D' F F' M M' B H K' H' K</p><p>Rotate (Turn) Translate (Slide) Reflection (Flip)</p><p>Rotations, Translations and Reflections are examples of isometric transformations.</p><p>A NON-ISOMETRIC TRANSFORMATION (NON-RIGID MOTION) is a transformation that does not preserve the distances and angles between the pre-image and image.</p><p>Example #1 Example #2 Example #3 C' F L M</p><p>C E K N D' G F' D L' M'</p><p>E' G' B B' K' N'</p><p>Dilation (Proportional) Stretch (Not Proportional) Stretch (Not Proportional)</p><p>Stretch – Where one dimension’s scale factor is different than the other dimension’s scale factor. Examples #2 and #3 represent stretches. A stretch definitely distorts the shape making it a NON-ISOMETRIC transformation.</p><p>Dilation – Where both dimension’s scale factors is the same. The shape is proportional, not identical. Dilation changes the size of the shape making it a NON-ISOMETRIC transformation.</p><p>There are many ways to distort a shape but these two are the most popular types.</p><p>1. Circle which of the following are isometric transformations? (there may be more than 1 answer)</p><p>Pre-Image a) Image b) Image c) Image 2. Use the previous example to determine which transformation took place, circle the answer.</p><p>Pre-Image a) Reflection b) Reflection c) Reflection Translation Translation Translation Rotation Rotation Rotation Dilation Dilation Dilation Stretch Stretch Stretch Other Other Other</p><p>3. Circle which of the following are isometric transformations? (there may be more than 1 answer)</p><p>Pre-Image a) Image b) Image c) Image</p><p>4. Use the previous example to determine which transformation took place, circle the answer.</p><p>Pre-Image a) Reflection b) Reflection c) Reflection Translation Translation Translation Rotation Rotation Rotation Dilation Dilation Dilation Stretch Stretch Stretch Other Other Other</p><p>5. Determine the coordinates of the image, plot the image and determine if it is an isometric transformation or not. PRE-IMAGE Transformation COORDINATES PLOT THE IMAGE a) Pre-Image Points Image Points B4 4 A (-1,1) A’ (_____,_____) 2 2 B (0,4) B’ (_____,_____) A -5 C5 -5 5 C (4,1) C’ (_____,_____) -2 Isometry? Yes or No -2 Coordinate Rule -4 -4 (x,y)  (x, -y) Transformation Type: ______</p><p>6. Determine the coordinates of the image, plot the image and determine if it is an isometric transformation or not. PRE-IMAGE Transformation COORDINATES PLOT THE IMAGE G.CO.A.2 STUDENT NOTES & PRACTICE WS #3/#4 – geometrycommoncore.com 3</p><p> a) Pre-Image Points Image Points 4B 4 A (0,0) A’ (_____,_____) 2 2 B (1,3) B’ (_____,_____) -5 A 5 C C (5,0) C’ (_____,_____) -5 5 -2 Isometry? Yes or No -2 Coordinate Rule -4 -4 (x,y)  (x, -2y) Transformation Type: ______</p>