Question

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

Explanation:

Step1: Analyze vertical movement

The y - coordinate of the lowest - point of Figure G is around - 8 and of Figure H is around 2. The vertical shift is \(2-(-8)=10\) units up.

Step2: Analyze horizontal movement

The x - coordinate of the left - most point of Figure G is around - 9 and of Figure H is around 6. The horizontal shift is \(6 - (-9)=15\) units to the right.

Step3: Determine rotation

The orientation of the two figures is the same, so no rotation is needed.

Step4: Determine reflection

There is no reflection as the figures have the same orientation in terms of left - right and up - down.

Answer:

A translation 15 units to the right and 10 units up.