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Geometric Transformations 101: Polygon Translations

Discover the art of graphing translations of polygons on a coordinate plane. Learn about different geometric transformations, including translations which involve sliding figures horizontally, vertically, or both. Practice graphing translations, finding coordinates, and naming translations with ordered pairs. Explore real-life scenarios involving translations in classrooms and convention settings. Dive into examples of translating triangles, trapezoids, and more to hone your skills. Plus, master the technique of connecting plotted points to visualize translated images accurately.

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Geometric Transformations 101: Polygon Translations

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  1. Transparency 8 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 8-3b Objective Graph translations of polygons on a coordinate plane

  4. Example 8-3b Vocabulary Transformation A movement of a geometric figure

  5. Example 8-3b Vocabulary Translation One type of transformation where a geometric figure is slid horizontally, vertically, or both

  6. Lesson 8 Contents Example 1Graph a Translation Example 2Find Coordinates of a Translation Example 3Naming Translations with Ordered Pairs

  7. Example 8-1a Translate ABC 5 units left and 1 unit up. Copy ABC The translation is 5 units left and 1 unit up B Note: Do not draw the arrows A’ A C Begin with A and move it 5 units left then 1 unit up Label A’ 1/3

  8. Example 8-1a Translate ABC 5 units left and 1 unit up. Translate B and move it 5 units left then 1 unit up B’ B Label B’ A’ C’ Translate C and move it 5 units left then 1 unit up A C Label C’ 1/3

  9. Example 8-1a Translate ABC 5 units left and 1 unit up. Connect the dots in order B’ B A’ C’ A C Answer: 1/3

  10. Example 8-1b Translate DEF 3 units left and 2 units down. Answer: 1/3

  11. Example 8-2a Trapezoid GHIJ has vertices G(–4, 1), H(–4, 3), I(–2, 3), and J(–1, 1). Find the vertices of trapezoid GHIJafter a translation of 5 units right and 3 units down. Then graph the figure and its translated image. Plot the 4 coordinates H I Label G G(-4, 1) H(-4, 3) Label H G J I(-2, 3) Label I J(-1, 1) Label J Connect the dots in order that was plotted 2/3

  12. Example 8-2a Trapezoid GHIJ has vertices G(–4, 1), H(–4, 3), I(–2, 3), and J(–1, 1). Find the vertices of trapezoid GHIJafter a translation of 5 units right and 3 units down. Then graph the figure and its translated image. The translation is 5 units right and 3 units down H I Note: Do not draw the arrows G J Begin with G and move it 5 units right then 3 units down G’ Label G’ 2/3

  13. Example 8-2a Trapezoid GHIJ has vertices G(–4, 1), H(–4, 3), I(–2, 3), and J(–1, 1). Find the vertices of trapezoid GHIJafter a translation of 5 units right and 3 units down. Then graph the figure and its translated image. Translate H and move it 5 units right then 3 units down H I G J Label H’ H’ I’ Translate I and move it 5 units right then 3 units down G’ Label I’ 2/3

  14. Example 8-2a Trapezoid GHIJ has vertices G(–4, 1), H(–4, 3), I(–2, 3), and J(–1, 1). Find the vertices of trapezoid GHIJafter a translation of 5 units right and 3 units down. Then graph the figure and its translated image. Translate J and move it 5 units right then 3 units down H I G J Label J’ H’ I’ Connect the new lines in order J’ G’ Answer: 2/3

  15. Example 8-2b Triangle MNO has vertices M(–5, –3), N(–7, 0), and O(–2, 3). Find the vertices of triangle MNO after a translation of 6 units right and 3 units up. Then graph the figure and its translated image. Answer: 2/3

  16. Example 8-3a CLASSROOMS The squares below represent desks in a classroom. Ana is seated at the square marked X. She is moved to the seat marked Y. Describe this translation as an ordered pair. Right 2 is +2 Up 2 is a +2 Answer: Y (2, 2) 3/3

  17. Example 8-3b * CONVENTIONThe squares below represent booths at a convention center. The Sail Maker Company was located at the booth marked X last year. This year they have been moved to the booth marked Y. Describe this translation as an ordered pair. Answer: Y (–3, –3) 3/3

  18. End of Lesson 8 Assignment

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