Question

use the diagram below to answer the following questions.

1. name $overleftrightarrow{wq}$ another way.
2. name line $f$ in another way.
3. name a point collinear with q and s.
4. name a point that is not coplanar with r, q, and s.
5. name the intersection of line g and line f.
6. name plane rst another way.

Explanation:

Step1: Recall line - naming convention

A line can be named using any two points on the line. So, $\overleftrightarrow{WQ}$ can also be named as $\overleftrightarrow{QW}$.

Step2: Name line \(f\)

Line \(f\) contains points \(S\) and \(T\) (and other points on the line), so it can be named as $\overleftrightarrow{ST}$.

Step3: Identify collinear points

Points on the same line are collinear. Points \(Q\) and \(S\) lie on the same line, and point \(R\) also lies on that line. So a point collinear with \(Q\) and \(S\) is \(R\).

Step4: Find non - coplanar point

Points \(R\), \(Q\), and \(S\) lie on plane \(V\). Point \(W\) is outside of plane \(V\), so a point that is not coplanar with \(R\), \(Q\), and \(S\) is \(W\).

Step5: Check intersection (already given as \(Q\))

Step6: Name the plane

Plane \(RST\) can also be named as Plane \(V\) since it is the plane shown in the diagram.

Answer:

1. $\overleftrightarrow{QW}$
2. $\overleftrightarrow{ST}$
3. \(R\)
4. \(W\)
5. \(Q\)
6. Plane \(V\)