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Chapter 2: Q5 (page 46)

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

If BD炉鈮�DC炉, then D is the midpoint of BC炉.

Short Answer

Expert verified

The Midpoint Theorem justifies the statement about the diagram.

Step by step solution

01

Step 1. Observe the given diagram.

The diagram constitutes of a triangle ABC and it is given that BD炉鈮�DC炉.

02

Step 2. State the midpoint theorem.

The theorem states that the line segment created by joining the midpoints of the triangle鈥檚 two sides is parallel and half the length of the third side of the triangle.

03

Step 3. State the conclusion.

Considering the given diagram and the statement 鈥渋f BD炉鈮�DC炉, then D is the midpoint of BC炉鈥�

Therefore, the statement about the diagram is justified by the Midpoint Theorem.

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