Question

1. give another name for plane m.
2. name a line in plane m.
3. name a line intersecting plane m.
4. name two rays.
5. name a pair of opposite rays.
6. name a point not in plane m.

Explanation:

Step1: Recall plane - naming convention

A plane can be named by three non - collinear points on the plane. Points $X$, $Y$, and $Z$ are non - collinear points on plane $M$, so plane $M$ can be named plane $XYZ$.

Step2: Identify a line in the plane

A line is a set of points. Line $g$ (with points $X$, $Y$, and $Z$ on it) lies in plane $M$.

Step3: Identify an intersecting line

Line $h$ intersects plane $M$ at point $Y$.

Step4: Recall ray definition

A ray is a part of a line that has one endpoint and extends infinitely in one direction. $\overrightarrow{YX}$ and $\overrightarrow{YZ}$ are two rays.

Step5: Recall opposite - rays definition

Opposite rays are two rays that have the same endpoint and form a straight line. $\overrightarrow{XY}$ and $\overrightarrow{YZ}$ are opposite rays (since they have the same endpoint $Y$ and lie on the same line $g$).

Step6: Locate a non - plane point

Point $P$ is not in plane $M$.

Answer:

1. Plane $XYZ$
2. Line $g$
3. Line $h$
4. $\overrightarrow{YX}$, $\overrightarrow{YZ}$
5. $\overrightarrow{XY}$, $\overrightarrow{YZ}$
6. Point $P$