Analyze the image and identify the mathematical problems presented.

Mathematical Problems Identified:

The image displays two geometry problems, each involving triangles and questioning the congruence of certain triangles.

• Problem 1: Features two triangles, ABC and DBC, with markings indicating a right angle at A and D, and possibly equal lengths for AB and DB, and AC and DC. It asks if triangle DBC is congruent to triangle ACB.
• Problem 2: Shows a quadrilateral ABCD with diagonals AC and BD intersecting. Markings indicate right angles at A and C, and possibly equal lengths for AB and CD, and BC and AD. It asks if triangle ABD is congruent to triangle CDB.