Below is a translation moving quadrilateral [math]ABCD[/math] to quadrilateral [math]A'B'C'D'[/math].[br][br]You can change how the quadrilateral is translated by changing the vector describing the translation's direction and distance. You can also change the original quadrilateral if you wish.[br][br]Experiment with it for a bit...
Under what conditions are the corresponding line segments in an image and its pre-image parallel after the translation? That is, which word best completes this statement?[br][br][i]After a translation, corresponding line segments in an image and its pre-image are [never, sometimes, [i]always[/i]] parallel[/i]
Give a reason for your answer. If you choose "[i]sometimes[/i]", be very clear in your explanation how to tell when the corresponding line segments before and after the translation are parallel and when they are not.
Below is a rotation moving quadrilateral [math]ABCD[/math] to Quadrilateral [math]A'B'C'D'[/math].[br][br]You can change how the quadrilateral is rotated by changing the center and the angle of rotation. You can also change the original quadrilateral if you wish.[br][br]Experiment with it for a bit...
Under what conditions are the corresponding line segments in an image and its pre‐image parallel [br]after a rotation? That is, which word best completes this statement?[br][br][i]After a rotation, corresponding line segments in an image and its pre-image are [never, [br]sometimes, always] parallel. [/i]
Give reasons for your answer. If you choose “[i]sometimes[/i]”, be very clear in your explanation how to [br]tell when the corresponding line segments before and after the rotation are parallel and when they [br]are not.
Below is a reflection moving quadrilateral [math]ABCD[/math] to Quadrilateral [math]A'B'C'D'[/math].[br][br]You can change how the quadrilateral is reflected by changing the line of reflection. You can also change the original quadrilateral if you wish.[br][br]Experiment with it for a bit...
Under what conditions are the corresponding line segments in an image and its pre‐image parallel [br]after a reflection? That is, which word best completes this statement?[br][br][i]After a reflection, corresponding line segments in an image and its pre-image are [never, [br]sometimes, always] parallel.[/i]
Give reasons for your answer. If you choose “[i]sometimes[/i]” be very clear in your explanation how to [br]tell when the corresponding line segments before and after the reflection are parallel and when [br]they are not.