Geometry

Question Analysis:
This problem involves a sequence of three geometric transformations, including reflection, rotation, and translation.
The main focus is on applying each transformation correctly to find the final coordinates.

Key Concept Explanation:
A point (x, y) reflected over y = x swaps the coordinates:(x, y) → (y, x).
A point (x, y) after a 90° counterclockwise rotation becomes (−y, x).
Translation: Add or subtract units to x and y based on the direction of movement

Step-by-Step Solution:
Start with point C(2, 3)
Reflection over the line y = x: The point C(2, 3) becomes (3, 2).
Rotation of 90° counterclockwise about the origin: The point (3, 2) rotates to (−2, 3).
Translation 2 units to the left and 1 unit up:
Moving 2 units to the left and 1 unit up gives: (−2−2, 3+1)=(−4, 4).

Common Mistakes:
Misapplying the rotation rule: (−y, x) instead of swapping coordinates.
Confusing translation d...