Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

use the diagram below to answer the following questions. 1. name $overl…

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.

Explanation:

Step1: Recall line - naming convention

A line can be named using any two points on the line. For $\overleftrightarrow{WQ}$, another way to name it is $\overleftrightarrow{QW}$ since a line has no direction in terms of naming.

Step2: Name line $f$

Line $f$ passes through points $R$ and $S$. So, another way to name it is $\overleftrightarrow{RS}$ (or $\overleftrightarrow{SR}$).

Step3: Identify collinear points

Points that lie on the same line are collinear. Since $Q$ and $S$ lie on line $f$, point $R$ is also on line $f$, so $R$ is collinear with $Q$ and $S$.

Step4: Identify non - coplanar points

Points $R$, $Q$, and $S$ lie on the plane $V$. Point $W$ is outside the plane $V$, so $W$ is not coplanar with $R$, $Q$, and $S$.

Answer:

  1. $\overleftrightarrow{QW}$
  2. $\overleftrightarrow{RS}$ (or $\overleftrightarrow{SR}$)
  3. $R$
  4. $W$