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

If D is the midpoint of AB, then AD=12AB.

Short Answer

Expert verified

The name of the theorem which justifies the statement about the given diagram is midpoint theorem.

Step by step solution

01

Step 1. Observe the given diagram.

The given diagram is:

02

Step 2. Write the midpoint theorem.

The midpoint theorem states that if a point B is the midpoint of AC, then AB=12AC.

03

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

From the given diagram it can be noticed that the point D is the midpoint of AB, therefore AD=12AB.

Therefore, the name of the theorem that justifies the statement about the given diagram is midpoint theorem.

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