In a rectangle `A B C D ,` prove that ` A C Bcong C A Ddot`

Explanation

To prove that triangle \( ACB \cong CAD \) in rectangle \( ABCD \), we will use the Angle-Angle-Side (AAS) congruence criterion. Here’s the step-by-step solution:

### Step 1: Identify the Angles and Sides
In rectangle \( ABCD \):
- \( \angle CAB \) and \( \angle DCA \) are alternate interior angles.
- \( \angle CBA \) and \( \angle ABC \) are both right angles (90 degrees).

### Step 2: Establish Angle Relationships
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