2) Based on the markings, what can be concluded about triangle ADB and segment DH?

2) Analysis:

In the given figure, we see a triangle ADB and a segment DH, where H is a point on the side AB.

The markings indicate:

• DH is perpendicular to AB (indicated by the right angle symbol at H). This means DH is the altitude from vertex D to the base AB.
• AD = DB (indicated by single tick marks on segments AD and DB). This means triangle ADB is an isosceles triangle.

In an isosceles triangle, the altitude from the vertex angle to the base is also the median and the angle bisector.

Conclusions:

• Since triangle ADB is isosceles with AD = DB, and DH is the altitude, DH is also the median to the base AB. Therefore, AH = HB.
• DH is also the angle bisector of angle ADB.
• Triangle ADH is congruent to triangle BDH (Right Angle-Hypotenuse-Side congruence).

Conclusion: Triangle ADB is an isosceles triangle, and DH is its altitude, median, and angle bisector.