E1.4 Describe and perform translations, reflections, and rotations on a Cartesian plane, and predict the results of these transformations.
Activity: Performing and Predicting the Results of Translations, Reflections and Rotations in a Cartesian Plane
- In a Cartesian plane, draw the shape that has the following coordinates: A (-5, 5), B (-5, 9) and C (-8, 5). Before making a translation of (x+3, y-4), predict the result of this transformation. Record your data in the following table.
|
Original Shape |
Image |
|
A (-5, 5) |
|
|
B (-5, 9) |
|
|
C (-8, 5) |
Describe the effect of this translation on the coordinates of the image.
- Before you make the triangle A'B'C' reflect about the y-axis, make predictions about the result of this transformation. Describe the effect of this reflection on the coordinates of the image.
- In a new Cartesian plane, draw the same original shape as in the beginning of the activity. Before rotating it clockwise 90° about the origin, make predictions about the result of this transformation. Describe the effect of this rotation on the coordinates of the image.
Source: translated from En avant, les maths!, 7e année, ML, Sens de l’espace, p. 17.
Note: This activity can be done using coding software.