Chapter 2: Q5 (page 46)

State which definition, postulate, or theorem justifies the statement about the diagram.
If $\bar{B D} ≅ \bar{D C}$ , then D is the midpoint of $\bar{B C}$ .

Short Answer

Expert verified

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 it is given that $\bar{B D} ≅ \bar{D C}$ .

Step 2. State the midpoint theorem.

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

Step 3. State the conclusion.

Considering the given diagram and the statement “if $\bar{B D} ≅ \bar{D C}$ , then D is the midpoint of $\bar{B C}$ ”

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

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State which definition, postulate, or theorem justifies the statement about the diagram.
If $\bar{B D} ≅ \bar{D C}$ , then D is the midpoint of $\bar{B C}$ .

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. State the midpoint theorem.

Step 3. State the conclusion.

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State which definition, postulate, or theorem justifies the statement about the diagram.If BD¯≅DC¯, then D is the midpoint of BC¯.

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. State the midpoint theorem.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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State which definition, postulate, or theorem justifies the statement about the diagram.
If $\bar{B D} ≅ \bar{D C}$ , then D is the midpoint of $\bar{B C}$ .