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Understanding Translations: Sketching and Graphing Parallelograms

This lesson focuses on the concept of translations in geometry, specifically how to graph the translation of parallelograms. Students will learn to sketch a parallelogram on a coordinate grid, perform transformations by translating the shape, and find the new coordinates of the vertices. Through examples, students will practice graphing a given parallelogram and its translated image, enhancing their understanding of transformations. The lesson concludes with practical exercises, encouraging students to apply their knowledge in solving translation problems.

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Understanding Translations: Sketching and Graphing Parallelograms

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 13–5) Main Idea and Vocabulary Key Concept: Translation Example 1: Sketch a Translation Lesson Menu

  3. I will sketch translations on a coordinate grid. • transformation • image • translation Main Idea/Vocabulary

  4. KC

  5. Sketch a Translation Parallelogram ABCD has vertices at A(6, 4), B(5, 2), C(8, 2), and D(9, 4). Graph parallelogram ABCD and its translation image 4 units to the left and 3 units up. Graph and then write the ordered pairs for the new vertices. Example 1

  6. A D C B Sketch a Translation Step 1 Graph the original parallelogram. Step 2 Graph the translated image. A D A D C B C B Example 1

  7. Sketch a Translation Answer: The new vertices are at A(2, 7), B(1, 5), C(4, 5), and D(5, 7). Example 1

  8. A B C D Parallelogram FGHJ has vertices at F(1, 1), G(2, 3), H(3, 1), and J(4, 3). Which shows the new ordered pairs when FGHJ is translated 2 units up and 2 units right? A.F(1, 1), G(2, 3), H(3, 1), and J(4, 3) B.F(2, 2), G(4, 6), H(6, 3), and J(8, 6) C.F(3, 3), G(4, 5), H(5, 3), and J(6, 5) D.F(3, 1), G(4, 3), H(5, 1), and J(6, 3) Example 1

  9. End of the Lesson End Lesson

  10. Five-Minute Check (over Lesson 13–5) Image Bank Math Tool Chest Identify Angles Resources

  11. Use any strategy to solve. Jared runs laps at the track three times a week. On Mondays he runs as many laps as on Wednesdays and as many laps as he runs on Fridays. If he runs 24 laps on Fridays, how many laps does he run on Mondays and Wednesdays? 2 3 1 2 (over Lesson 13–5) Five Minute Check 1

  12. A B C D (over Lesson 13–5) • 12 laps on Wednesdays; 18 laps on Monday • 16 laps on Mondays; 13 laps on Wednesdays • 12 laps on Mondays; 18 laps on Wednesdays • 13 laps on Mondays; 16 laps on Wednesdays Five Minute Check 2

  13. End of Custom Shows

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