Question

(a) Using Geometry Vocabulary, describe a sequence of transformations that maps

figure X onto figure Y.
(b) Write the Transformation Mapping Rule(s) for the sequence you described in part
(a).

Answer 1

Translate figure X
`\left[\begin{array}{ccc}1\\0\\\end{array}\right]`, reflect figure X in the y-axis to give figure Y.

Explanation:

It is very clear that shape X is being reflected in the y-axis to give shape Y. However, when reflecting shape X, it doesn't perfectly align with Y (it is off by 1 square).

So, we need to move shape X by 1 square so that when reflected in y-axis, it will align perfectly with shape Y. We can do this using a translation. We can see that if we move shape X one square to the right and no squares up or down, it will be reflected to give shape Y in the y-axis.

This leaves us with the column vector
`\left[\begin{array}{ccc}1\\0\\\end{array}\right]`. And our final step is to write about the reflection that we identified earlier.

So the final answer is : Translate figure X
`\left[\begin{array}{ccc}1\\0\\\end{array}\right]`, reflect figure X in the y-axis to give figure Y.