Question

determine a series of transformations that would map figure h onto figure i.

Explanation:

Step1: Analyze vertical movement

Count the number of units from the lowest - point of Figure H to the lowest - point of Figure I in the y - direction. Figure H is 13 units below Figure I vertically. So, a translation 13 units up is needed.

Step2: Analyze horizontal movement

Count the number of units from a reference point (e.g., the left - most vertex) of Figure H to the corresponding point of Figure I in the x - direction. Figure H is 2 units to the right of Figure I horizontally. So, a translation 2 units to the left is needed.

Step3: Analyze rotation

The orientation of Figure H needs to be changed to match Figure I. A 90 - degree counter - clockwise rotation about a point (for simplicity, we can assume rotation about the origin) will change the orientation.

Answer:

A 90 - degree counter - clockwise rotation about the origin, followed by a translation 2 units to the left and 13 units up.