Reason 1: Given
The tick marks are visual indicators of congruent segments. The segments with single tick marks are the same length. The segments with the double tick marks are the same length.
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Reason 2: Vertical Angles
Any pair of vertical angles are congruent. Vertical angles are formed when you cross any two lines or line segments. They are the angles opposite one another (not adjacent to one another).
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Statement 3: [tex]\triangle ABC \cong \triangle DBE[/tex]
That translates to "Triangle ABC is congruent to triangle DBE"
This is using the side angle side (SAS) postulate as described in reason 3. The "side" portions are given in statement 1. The "angle" portions are a result of statement 2.
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Statement 4: Not sure
The reason why I put "not sure" is because it's not clear what the goal is. It seems like the instructions have been cut off (possibly on the previous page?). Please update the problem so I can revise this part of the answer.
Some possibilities may be...
angle BAC = angle BDE
angle BCA = angle BED
segment AC = segment ED
