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i can describe a point, line, and plane, & define and name segments and…

Question

i can describe a point, line, and plane, & define and name segments and rays. use the figure to answer questions #1 - #5. use symbols when necessary. 1. a line containing point l. ______ 2. another name for line b. ____ 3. a plane containing point g. ____ 4. an example of 3 non - collinear points. ____ 5. 3 segments containing point k. ______

Explanation:

Step1: Identify line for point L

Lines are named by two points on the line. $\overleftrightarrow{JL}$ contains $L$.

Step2: Rename line b

If line $b$ passes through $K$ and $I$, it can be named $\overleftrightarrow{KI}$.

Step3: Find plane for point G

Point $G$ lies in plane $a$.

Step4: Find non - collinear points

Non - collinear points do not lie on the same line. $G$, $H$, $L$ meet this criterion.

Step5: Find segments with point K

Segments are parts of lines between two endpoints. $\overline{JK}$, $\overline{KL}$, $\overline{KI}$ contain $K$.

Answer:

  1. $\overleftrightarrow{JL}$ (assuming the line passing through $J$ and $L$ also contains $L$)
  2. $\overleftrightarrow{KI}$ (assuming line $b$ is the line passing through $K$ and $I$)
  3. Plane $a$
  4. $G$, $H$, $L$ (there are multiple correct answers, these are non - collinear points)
  5. $\overline{JK}$, $\overline{KL}$, $\overline{KI}$