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Chapter 2: Q3 (page 46)

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

If AD鈫� bisects 鈭�BAC, then 鈭�1鈮�鈭�2 .

Short Answer

Expert verified

The angle bisector 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 AD鈫� bisects 鈭�BAC.

02

Step 2. State the angle bisector theorem.

The theorem states that if a line bisects an angle of a triangle, then that line divides the opposite side of that angle into two segments proportional to other two sides of the triangle.

03

Step 3. State the conclusion.

Considering the given diagram and the statement: 鈥渋f AD鈫�bisects 鈭�BAC, then 鈭�1鈮�鈭�2.

Therefore, the statement about the diagram is justified by the angle bisector theorem.

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