IM Geo.1.12 Lesson: Defining Translations
What do you notice? What do you wonder?
After a translation, the image of V is W.
Find at least 3 other points that are taken to a labeled point by that translation.
Write at least 1 conjecture about translations.
In a new translation, the image of V is Z.
Find at least 3 other points that are taken to a labeled point by the new translation.
Are your conjectures still true for the new translation?
Translate triangle by the directed line segment from to . What is the relationship between line and line ? Explain your reasoning.
How does the length of segment compare to the length of segment '? Explain your reasoning.
Translate segment by directed line segment w. Label the new endpoints and . Connect to and to What kind of shape did you draw? Explain your reasoning.
What properties does it have? Explain your reasoning.
On triangle in the task, use a straightedge and compass to construct the line which passes through and is perpendicular to . Label it . Then, construct the perpendicular bisector of and label it . Draw the reflection of across the line . Since the label is used already, label it instead. What is the reflection of across the line ?
Explain why this is cool.