Question

use the diagram to answer the questions 2 - 5.

1. which is another correct name for $overrightarrow{xv}$?

a) $overrightarrow{vi}$
b) $overrightarrow{wv}$
c) $overleftrightarrow{sx}$
d) line $d$

1. which is another correct name for plane $m$?

a) plane $p$
b) plane $wvs$
c) plane $wzp$
d) plane $wvi$

1. are points $x$, $s$, and $w$ collinear or noncollinear?

a) collinear
b) noncollinear

1. are points $p$, $w$, and $z$ coplanar or not coplanar?

a) coplanar
b) noncoplanar

Explanation:

Step1: Identify line naming

A line can be named by any two points on it or by a single - letter name. $\overrightarrow{XV}$ lies on line $d$, so another name for $\overrightarrow{XV}$ is line $d$.

Step2: Identify plane naming

A plane can be named by three non - collinear points on it. Points $W$, $Z$, and $P$ are non - collinear and lie on plane $M$, so plane $M$ can be named plane $WZP$.

Step3: Determine collinearity

Points $X$, $S$, and $W$ do not lie on the same straight line, so they are noncollinear.

Step4: Determine coplanarity

Points $P$, $W$, and $Z$ all lie on plane $M$, so they are coplanar.

Answer:

1. D. Line d
2. C. Plane WZP
3. B. Noncollinear
4. A. Coplanar