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  Notes: 7.4 Translations A Translation or glide is a transformation where all of the points of a figure are moved the same distance in the same direction. Example 1: Plot the segment ̅̅̅̅ , ( ) and ( ) . Then draw the image after the translation ( ) ( ) . Example 2: Plot the triangle ( ) , ( ) , and ( ) . Then draw the image after the translation ( ) ( ) . Translations in the coordinate plane can be described by the following notation: ( ) ( ) P P Q Q’ ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) P Q P’ Q’ B’ A’ C B A ( ) ( ) ( ) ( ) (
  
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  Unformatted text preview: ) ( ) ( ) ( ) You will finish this problem in your homework. When two or more transformations are combined to produce a single transformation, the result is called a Composition of the transformation. Example 3: Graph . Sketch the image of after the given 2 compositions. ( ) , ( ) , ( ) Translation: ( ) ( ) Reflection: in the -axis Step 1: Plot triangle ABC. Step 2: Write the new triangle using the translation. Step 3: Using the new triangle from step 2, reflect the triangle in the x-axis. • • • • • B A C C’ ( ) ( ) ( ) ( ) ( ) A’ B’ • • Translation • • Use the purple image and reflect triangle over the x-axis. B’’ C’’ A’’ Reflection...
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