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Chapter 2: Q1 (page 46)

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

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

02

Step 2. State the midpoint theorem.

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

03

Step 3. State the conclusion.

Considering the given diagram and the statement that if is the midpoint of BC炉, then BD炉鈮�DC炉.

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

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Most popular questions from this chapter

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

a2>9if a>3.

Copy everything shown and write a two-column proof.

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m鈭�3=m鈭�4;

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Copy everything shown and supply missing statements and reasons.

Given:

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m鈭�2=m鈭�4

Prove: m鈭�ABC=m鈭�DEF

Proof:

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If points D, E, and F are collinear, then DE+EF=DF.
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