In the given picture there are 5 questions.
1. What are the name of the segments?
We have 3 points on a line we get 3 segment that are [tex]\bar{AB},\bar{AC}and \bar{BC}[/tex].
2.What are the names of a rays?
The names of the rays are[tex]\overrightarrow{AB},\overrightarrow{AC},\overrightarrow{CB},\overrightarrow{BA},\overrightarrow{BC}and \overrightarrow{CA}[/tex].
3. Name a pair of opposite rays.
The pair of opposite rays are [tex]\overrightarrow{CB},and \overrightarrow{CA}[/tex].
4. What is the intersection of plane AEF and plane HGF
[tex]\overrightarrow{EF}[/tex].
5. Name two planes that intersect [tex]\overline{CB}[/tex].
plane BFG and plane ADC.
1. Given there is a line with 3 points A,B and C.
The segment is the ends of a line segment are two. These endpoints are included, along with every point on the line that connects them. A segment's length can be measured, while a line's length cannot.
If there are 2 points on a line = 1 line segment; 3 points on a line = 3 segments.
We have 3 points on a line we get 3 segment that are [tex]\bar{AB},\bar{AC}and \bar{BC}[/tex].
2. Given there is a line with 3 points A,B and C.
A ray is a segment of a line with a single endpoint and unlimited length in a single direction. A ray cannot be measured in terms of length.
The names of the rays are
[tex]\overrightarrow{AB},\overrightarrow{AC},\overrightarrow{CB},\overrightarrow{BA},\overrightarrow{BC}and \overrightarrow{CA}[/tex].
3. Opposite rays are the two rays which has same end point that when kind of combined together create a straight line.
So, here we have an end point as C and the reason being is if my endpoint C i can have a ray go to right point B and it can go to the left point A.
If we choose the point A it can go to right point but not left and if we choose the point B it can go to left point but not right.
That's why the end point is C.
The pair of opposite rays are [tex]\overrightarrow{CB},and \overrightarrow{CA}[/tex].
4. the intersection of plane AEF and plane HGF is [tex]\overrightarrow{EF}[/tex].
5. the planes that intersect [tex]\overline{CB}[/tex].
plane BFG and plane ADC.
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