Question

for all of the problems on this test, you must show evide if you need to round an answer, round to the nearest 0.1. sc 1: i can use terminology and symbols to analyze points, lines, line segments, rays, angles, and planes. 1a) using correct symbol notation, name the following from the diagram below: i) 2 rays that do not have the same endpoint. ii) 2 line segments that are exactly the same. iii) 2 lines that intersect and do not contain point f. 1b) using correct symbol notation, name the following from the diagram above: i) 2 angles that are not adjacent. ii) 2 angles that are a linear pair. iii) 2 adjacent angles that are not a linear pair.

Explanation:

Step1: Recall ray notation

A ray is named with its endpoint first. For two rays with different endpoints from the diagram, we can choose $\overrightarrow{OA}$ and $\overrightarrow{OE}$.

Step2: Recall line - segment notation

Line - segments are named by their two endpoints. Congruent line - segments (exactly the same) can be $\overline{AO}$ and $\overline{OB}$ (assuming equal length visually, if we consider them as such in the context of the problem).

Step3: Recall line notation

Lines are named by two points on the line. Two lines that intersect and do not contain point F are $\overleftrightarrow{AC}$ and $\overleftrightarrow{ED}$.

Step4: Recall angle - non - adjacent notation

Non - adjacent angles are angles that do not share a common side and a common vertex in a particular way. $\angle AOC$ and $\angle DOE$ are non - adjacent.

Step5: Recall linear - pair angle notation

A linear pair of angles are adjacent angles whose non - common sides are opposite rays. $\angle AOB$ and $\angle BOC$ form a linear pair.

Step6: Recall adjacent non - linear - pair angle notation

Adjacent non - linear - pair angles share a common side and a common vertex but their non - common sides are not opposite rays. $\angle AOC$ and $\angle COE$ are adjacent non - linear - pair angles.

Answer:

1a)
i) $\overrightarrow{OA}$, $\overrightarrow{OE}$
ii) $\overline{AO}$, $\overline{OB}$
iii) $\overleftrightarrow{AC}$, $\overleftrightarrow{ED}$
1b)
i) $\angle AOC$, $\angle DOE$
ii) $\angle AOB$, $\angle BOC$
iii) $\angle AOC$, $\angle COE$