Question

8 draw a figure and an image of that figure in such a way that any of the three transformations (a single translation, a single reflection, or a single rotation) could be used to obtain it. grade 8 - lesson 2

Explanation:

Step1: Choose a simple figure

Let's choose a square with vertices at (0,0), (0,1), (1,1), (1,0).

Step2: Consider translation

If we translate the square 2 units to the right, the new vertices will be (2,0), (2,1), (3,1), (3,0).

Step3: Consider reflection

If we reflect the original square across the y - axis, the new vertices will be (0,0), (0,1), (- 1,1), (- 1,0).

Step4: Consider rotation

If we rotate the original square 180 degrees about the origin, the new vertices will be (0,0), (0, - 1), (- 1, - 1), (- 1,0).

Answer:

Draw a square with vertices (0,0), (0,1), (1,1), (1,0) and its translated, reflected and rotated versions as described above.