Question

name: jocelyn flores date: 9/14/25 period: 2 seat# 5 point: a point a a dot that has not dimension. only place. line: l a b line l, line ab ((overrightarrow{ab})), or line ba ((overrightarrow{ba})) two points that have one dimension. it extends without end. plane: a m b c plane m, or plane abc three or more connected points that have two dimensions. use the diagram to provide two other names for (overrightarrow{pq}) and plane r. q p vst par compare collinear points and coplanar points. lie on the same line name the intersection of (overrightarrow{pq}) and line k. name the intersection of plane a and plane b. name the intersection of line k and plane a. provide the collinear points name four points. name two lines: name the plane that contains point a, b and c: name the intersection of the two planes:

Explanation:

Step1: Recall line - naming convention

A line can be named using any two points on the line in either order. So, two other names for $\overleftrightarrow{PQ}$ are $\overleftrightarrow{QP}$ and any other two - point combination on the line if available. In the context of the given diagram, assuming no other points on the line are relevant, $\overleftrightarrow{QP}$ is a valid alternative name.

Step2: Recall plane - naming convention

A plane can be named by three non - collinear points on the plane or by a single capital letter (in this case, the given plane is named $R$). Other names for plane $R$ using three non - collinear points on the plane could be plane $VST$ or plane $PQR$ (assuming $V$, $S$, $T$ and $P$, $Q$, $R$ are non - collinear points on the plane as per the diagram).

Step3: Recall collinear and coplanar definitions

Collinear points lie on the same line. Coplanar points lie on the same plane.

Step4: Find intersections

• For the intersection of $\overleftrightarrow{PQ}$ and line $K$, we need to find the point where they meet. From the diagram, if they intersect at point $M$, then the intersection is point $M$.
• The intersection of two planes is a line. If plane $A$ and plane $B$ intersect, the intersection is the line formed by their common points.
• The intersection of line $K$ and plane $A$ is the point where the line enters the plane. If it is point $M$, then the intersection is point $M$.

Step5: Name points, lines and planes

• Four points could be named as $A$, $B$, $C$, $D$ (assuming these are points in the relevant diagram).
• Two lines could be named as line $AB$ and line $DE$ (assuming these are lines in the diagram).
• The plane that contains points $A$, $B$ and $C$ could be named plane $ABC$.
• The intersection of two planes is a line. If the two planes in the last diagram intersect, the intersection is the line formed by their common points.

Answer:

• Two other names for $\overleftrightarrow{PQ}$: $\overleftrightarrow{QP}$
• Two other names for plane $R$: plane $VST$, plane $PQR$
• Collinear points lie on the same line; coplanar points lie on the same plane.
• Intersection of $\overleftrightarrow{PQ}$ and line $K$: Point of intersection (e.g., $M$ if applicable)
• Intersection of plane $A$ and plane $B$: Intersection line
• Intersection of line $K$ and plane $A$: Point of intersection (e.g., $M$ if applicable)
• Four points: (e.g., $A$, $B$, $C$, $D$)
• Two lines: (e.g., line $AB$, line $DE$)
• Plane containing $A$, $B$ and $C$: plane $ABC$
• Intersection of the two planes: Intersection line