Question

1.1 points, lines and planes. name: zocelyn flores date: 9/14/25 period: 2 seat# 5 point: a dot that has not dimension. only place. point a line: two points that have one dimension. it extends without end. line l, line ab (\\(\overline{ab}\\)), or line ba (\\(\overline{ba}\\)) plane: three or more connected points that have two dimensions. plane m, or plane abc use the diagram to provide two other names for \\(\overline{pq}\\) and plane r. compare collinear points and coplanar points. name the intersection of \\(\overline{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 conventions

A line can be named using any two points on the line. For $\overline{PQ}$, two other names could be $\overline{QP}$ and line $n$ (assuming $n$ is another name given to that line in the context of the diagram).

Step2: Recall plane - naming conventions

A plane can be named by three non - collinear points on the plane or by a single capital letter. For plane $R$, two other names could be plane $VST$ (using three non - collinear points $V$, $S$, $T$ on the plane) and plane $PQR$ (using three non - collinear points $P$, $Q$, $R$ on the plane).

Step3: Compare collinear and coplanar points

Collinear points lie on the same line. Coplanar points lie on the same plane. Collinear points are always coplanar (since a line lies on a plane), but coplanar points are not always collinear.

Step4: Find intersections

• The intersection of $\overline{PQ}$ and line $K$ is point $M$ (assuming they intersect at $M$ as shown in the diagram).
• The intersection of Plane $A$ and Plane $B$ is line $K$ (since two non - parallel planes intersect in a line).
• The intersection of line $K$ and Plane $A$ is point $M$ (where the line pierces the plane).

Step5: Identify collinear points

Collinear points are those that lie on the same straight line. In the relevant diagram section, if points $X$, $Y$, $Z$ lie on a straight line, they are collinear.

Step6: Name points, lines and planes

• Four points: For example, in the last diagram, points $A$, $B$, $C$, $D$.
• Two lines: For example, in the last diagram, line $AB$ and line $DE$.
• The plane that contains point $A$, $B$ and $C$: plane $S$ (assuming the plane that contains these points is labeled $S$).
• The intersection of the two planes: a line (assuming the two planes intersect in a line as is typical for non - parallel planes).

Answer:

• Two other names for $\overline{PQ}$: $\overline{QP}$, line $n$
• Two other names for plane $R$: plane $VST$, plane $PQR$
• Collinear points lie on the same line; coplanar points lie on the same plane. Collinear points are coplanar, but not all coplanar points are collinear.
• Intersection of $\overline{PQ}$ and line $K$: point $M$
• Intersection of Plane $A$ and Plane $B$: line $K$
• Intersection of line $K$ and Plane $A$: point $M$
• Collinear points: (depending on the diagram, e.g., $X$, $Y$, $Z$)
• Four points: (e.g., $A$, $B$, $C$, $D$)
• Two lines: (e.g., line $AB$, line $DE$)
• Plane containing $A$, $B$ and $C$: plane $S$
• Intersection of the two planes: a line