1. use the diagram below to answer the following questions.
a) name all segments parallel to $ \overline { x t } $
b) name all segments parallel to $ \overline { z y } $
c) name all segments parallel to $ \overline { v s } $
d) name a plane parallel to plane $ s t u $
e) name a plane parallel to plane $ u v z $
f) name all segments skew to $ \overline { s w } $
g) name all segments skew to $ \overline { u t } $

Question

Accepted Answer

# Explanation:
## a)
Segments parallel to $\overline{XT}$
In a prism - like structure (assuming the given figure is a prism), parallel segments are those that have the same direction and will never intersect.
$\overline{VZ}$ and $\overline{SW}$ are parallel to $\overline{XT}$

## b)
Segments parallel to $\overline{ZY}$
$\overline{VW}$ and $\overline{UT}$ are parallel to $\overline{ZY}$

## c)
Segments parallel to $\overline{VS}$
$\overline{WZ}$ and $\overline{UT}$ are parallel to $\overline{VS}$

## d)
Plane parallel to plane $STU$
Plane $XYZ$ is parallel to plane $STU$

## e)
Plane parallel to plane $UVZ$
Plane $WXY$ is parallel to plane $UVZ$

## f)
Segments skew to $\overline{SW}$
Skew segments are non - parallel and non - intersecting.
$\overline{ZY},\overline{VW},\overline{UT}$ are skew to $\overline{SW}$

## g)
Segments skew to $\overline{UT}$
$\overline{SW},\overline{VZ},\overline{XY}$ are skew to $\overline{UT}$

# Answer:
a) $\overline{VZ},\overline{SW}$
b) $\overline{VW},\overline{UT}$
c) $\overline{WZ},\overline{UT}$
d) Plane $XYZ$
e) Plane $WXY$
f) $\overline{ZY},\overline{VW},\overline{UT}$
g) $\overline{SW},\overline{VZ},\overline{XY}$

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QUESTION IMAGE

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