Question

notah draws figure x in the coordinate plane. then he performs a sequence of transformations on figure x to form figure y.
a. what sequence of transformations could notah have performed to map figure x onto figure y?
b. what is another sequence of transformations notah could have performed to map figure x onto figure y?

Explanation:

Step1: Analyze possible translations

One possible sequence is a translation. If we assume the figure X is moved down and to the left to form figure Y. For example, if we consider the vertices of the figures, we can move each point of figure X a certain number of units down and to the left.

Step2: Consider rotation - translation combination

Another sequence could be a rotation followed by a translation. First, rotate figure X around a certain point (like the origin or a vertex) by a specific angle (e.g., 90 - degree clock - wise or counter - clockwise) and then translate the rotated figure to the position of figure Y.

Answer:

a. A translation down and to the left.
b. A rotation around a point followed by a translation.