The problem shows a diagram of quadrilateral ABCD with certain information provided. Based on the diagram:

• The notation $m \angle DAB = 90^\circ$ indicates that angle DAB is a right angle, which is visually represented by the small square at vertex A.
• The diagonals $AC$ and $BD$ intersect at a point, and we must assess the given options.

Let’s go over the options one by one:

A) $m \angle DAB = 90^\circ$: This is true based on the small square at angle A, indicating it is a right angle.

B) $m \angle ABC = 90^\circ$: There is no indication of a right angle at $\angle ABC$, so this is likely false based on the given diagram.

C) $\angle DAC \cong \angle BCA$: These angles are formed by the intersection of the diagonals, and they appear to be congruent by the symmetry of the diagram. This seems true.

D) $\angle ABD \cong \angle CDB$: The angle pairs $\angle ABD$ and $\angle CDB$ are formed at the intersection of the diagonals, and they seem congruent by the properties of intersecting diagonals in a rectangle (or another symmetric quadrilateral). This also appears to be true.

Conclusion:

The two statements that must be true are:

1. A) $m \angle DAB = 90^\circ$
2. D) $\angle ABD \cong \angle CDB$

Would you like more detailed explanations for these conclusions, or have any further questions? Here are some related questions you may find useful:

1. How do you determine if diagonals of a quadrilateral are congruent?
2. What is the definition of a rectangle, and how do its properties apply here?
3. Can you explain the properties of angles formed by intersecting diagonals in a quadrilateral?
4. How do the properties of similar triangles apply to this problem?
5. What is the significance of congruent angles in a geometric figure like this?

Tip: When analyzing quadrilaterals with intersecting diagonals, look for symmetry and congruent angle pairs to help determine relationships between different angles.