Let's solve Puzzle #5 step-by-step.

Step 1: Reflect Point 2 over the line $y = x$

• Original Point 2: $(-2, 2)$
• Reflection over $y = x$: Swap the coordinates, so it becomes $(2, -2)$.

Step 2: Rotate Point 3 by 90° clockwise around the origin

• Original Point 3: $(-2, 3)$
• 90° clockwise rotation formula: $(x, y)$ becomes $(y, -x)$.
• Applying this: $(-2, 3)$ becomes $(3, 2)$.

Step 3: Rotate Point 1 by 180° around the origin

• Original Point 1: $(0, 2)$
• 180° rotation formula: $(x, y)$ becomes $(-x, -y)$.
• Applying this: $(0, 2)$ becomes $(0, -2)$.

Step 4: Dilate Point 4 by a scale factor of 3 from the origin

• Original Point 4: $(1, -1)$
• Dilation by scale factor 3: Multiply both coordinates by 3.
• Applying this: $(1, -1)$ becomes $(3, -3)$.

Summary of transformed points:

1. Point 2 after reflection: $(2, -2)$
2. Point 3 after rotation: $(3, 2)$
3. Point 1 after rotation: $(0, -2)$
4. Point 4 after dilation: $(3, -3)$

Answer choices:

Now, let's match these transformed points with the options:

• A: $(2, -3)$
• B: $(6, -1)$
• C: $(5, 1)$
• D: $(2, 5)$
• E: $(-2, -3)$
• F: $(3, 6)$
• G: $(6, 1)$
• H: $(1, -5)$
• I: $(5, -6)$

Matching the points to the answer choices:

• $(2, -2)$ doesn't directly match any option.
• $(3, 2)$ matches option F.
• $(0, -2)$ doesn't directly match any option.
• $(3, -3)$ doesn't directly match any option.

Based on this, F is part of the answer, but we would need to review the process to fully match the correct points.