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Question
8 multiple choice 1 point the sides of △abc are __________. ○ ba, ca, cb ○ points a, b, and c ○ ab, ac, bc ○ ab, ac, bc 9 multiple choice 1 point which of the following statements about a bisector is true? ○ the line segments are always parallel ○ it creates two equal angles or line segments ○ the angles created are always obtuse ○ it creates two unequal angles or line segments
Step1: Recall triangle - side notation
In a triangle $\triangle ABC$, the sides are represented as line - segments $\overline{AB}$, $\overline{AC}$, and $\overline{BC}$. The first option with vectors $\overrightarrow{BA},\overrightarrow{CA},\overrightarrow{CB}$ represents directed line segments with a specific direction starting from the points $B$, $C$, and $C$ respectively. Points $A$, $B$, and $C$ are the vertices of the triangle, not the sides. The last option with the incorrect over - arrow notation is not the standard way to represent the sides of a triangle.
Step2: Recall the definition of a bisector
A bisector, whether it is an angle - bisector or a segment - bisector, divides an angle or a line segment into two equal parts. A bisector does not imply that the line segments are parallel. The angles created by a bisector are not always obtuse. A bisector creates two equal angles or line segments, not unequal ones.
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- C. $\overline{AB},\overline{AC},\overline{BC}$
- B. It creates two equal angles or line segments