Question

State which postulate, definition, or theorem justifies the statement about the diagram.

If D is the midpoint of $\overline{BC}$, then $\overline{BD}\cong \overline{DC}$.

Short answer

The midpoint theorem justifies the statement about the diagram.

Step-by-step solution

Step 1. Observe the given diagram.

The diagram constitutes of a triangle ABC and D is the midpoint of BC.

Step 2. State the midpoint theorem.

The theorem states that if D is the midpoint of BC, then BD is equal to DC.

Step 3. State the conclusion.

Considering the given diagram and the statement that if is the midpoint of $\overline{BC}$, then $\overline{BD}\cong \overline{DC}$.

Therefore, the statement about the diagram is justified by the midpoint theorem.