Question

Write the name or statement of the definition, postulate, or theorem that justifies the statement about the diagram.

$AD+DB=AB$

Short answer

The name of the postulate which justifies the statement about the given diagram is segment addition postulate.

Step-by-step solution

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Write the segment addition postulate.

The segment addition postulate states that if the point lies between points A and B, then $\mathbf{AB}\mathbf{+}\mathbf{BC}\mathbf{=}\mathbf{AC}$.

Step 3. Write the name of the postulate that justifies the statement about the given diagram.

From the given diagram and the segment addition postulate, it can be noticed that $AD+DB=AB$.

Therefore, the name of the postulate that justifies the statement about the given diagram is the segment addition postulate.