Geometry U1S2: Transformations What is a Translation? Name: _______________________________________________ Date: _____________________ Hour: 1A 4A 1B 2B 4B Part I: Using the stated rule [1] fill in the table, [2] plot the found points on the graph, [3] then make an observation regarding the relationship of the given pre-­‐image (shape from the coordinates given) and the resulting image (shape from the coordinates you found). Table Graph Observation How do the pre-­‐image and image Pre-­‐Image Rule: ∆𝑨𝑩𝑪 (x,y) à (x-­‐8,y) Image ∆𝑨′𝑩′𝑪′ A(8,9) B(2,0) C(9,4) Pre-­‐Image ∆𝑨𝑩𝑪 Rule: (x,y) à (x,y-­‐7) relate (if at all)? Provide specific evidence or an explanation showing why you are correct. A(-­‐1,8) B(4,3) C(-­‐8,2) Image ∆𝑨′𝑩′𝑪′ Pre-­‐Image ∆𝑨𝑩𝑪 Rule: (x,y) à(x+5,y+7) A(-­‐8,4) B(-­‐2,1) C(3,9) Image ∆𝑨′𝑩′𝑪′ How do the pre-­‐image and image relate (if at all)? Provide specific evidence or an explanation showing why you are correct. How do the pre-­‐image and image relate (if at all)? Provide specific evidence or an explanation showing why you are correct. Geometry U1S2: Transformations What is a Translation? Part II: Important Vocabulary! Vocabulary Term Definition Translation Vector Diagram/Special Notes Part III: Use your Intuition! Below are some potential translations. Determine whether each image represents a translation of the pre-­‐image. If yes, sketch the vector and explain why you think you are correct. If no, provide a specific reason why not. Diagram Translation? Explanation! YES NO YES NO YES NO Reflect: For each of the translations, connect A to A’, B to B’, and C to C’. What do you notice about those three segments? Geometry U1S2: Transformations What is a Translation? Part IV: Your Turn! Given the Pre-­‐Image or Pre-­‐Image Points and the vector of translation, sketch and label the image points as a translation. Label the diagram and provide an explanation of how you know the points were actually translated. Diagram Explanation Reflect: [1] Go back to the diagrams above and connect each pre-­‐image point to its corresponding image point. If you made a perfect drawing, what should match about each of the connector segments? [2] Rachel thinks that when a person is walking, it is approximately the same as a translation. Do you agree with her? Justify your answer with relevant mathematical vocabulary. Geometry Homework
U1S2: Transformations What is a Translation? 1a) Consider the three images above, which of them represent a translation?
1b) What parts of the diagram are important to consider when making your decision?
Use the given information to do the following translations.
Translate 4 units to the right and 3 units down