mixed exercises
use tools draw and label a figure for each relationship.
32. $overleftrightarrow{lm}$ and $overleftrightarrow{np}$ are coplanar but do not intersect.
33. $overleftrightarrow{fg}$ and $overleftrightarrow{jk}$ intersect at $p(4, 3)$, where point $f$ is at $(-2, 5)$ and point $j$ is at $(7, 9)$.
34. lines $s$ and $t$ intersect, and line $v$ does not intersect either one.
refer to the figure for exercises 35 - 38.
35. name a line that contains point $e$.
36. name a point contained in line $n$.
37. what is another name for line $p$?
38. name the plane containing lines $n$ and $p$.
use tools draw and label a figure for each relationship.
39. point $k$ lies on $overleftrightarrow{rt}$.
40. plane $j$ contains line $s$.
41. $overleftrightarrow{yp}$ lies in plane $b$ and contains point $c$, but does not contain point $h$.
42. lines $q$ and $f$ intersect at point $z$ in plane $u$.

Question

Accepted Answer

### Problem 35:
# Brief Explanations:
To name a line containing point $ E $, we look at the figure. Point $ E $ is on line $ q $ (or line $ GE $, since $ G $ and $ E $ are on that line).
# Answer:
Line $ q $ (or line $ \overleftrightarrow{GE} $, or line $ \overleftrightarrow{EG} $)

### Problem 36:
# Brief Explanations:
To find a point on line $ n $, we examine the figure. Line $ n $ passes through point $ B $, so $ B $ is a point contained in line $ n $.
# Answer:
Point $ B $

### Problem 37:
# Brief Explanations:
Line $ p $ (or $ \overleftrightarrow{CD} $, $ \overleftrightarrow{DC} $, $ \overleftrightarrow{AD} $, $ \overleftrightarrow{DA} $, $ \overleftrightarrow{AC} $, $ \overleftrightarrow{CA} $) – from the figure, line $ p $ has points $ A $, $ D $, $ C $, so another name could be line $ \overleftrightarrow{AC} $ (or any two points on it, like $ \overleftrightarrow{CD} $).
# Answer:
Line $ \overleftrightarrow{AC} $ (or $ \overleftrightarrow{CD} $, $ \overleftrightarrow{DC} $, $ \overleftrightarrow{AD} $, $ \overleftrightarrow{DA} $, $ \overleftrightarrow{CA} $)

### Problem 38:
# Brief Explanations:
The plane containing lines $ n $ and $ p $ – from the figure, the blue plane (with points $ A $, $ B $, $ C $, $ D $) is the plane. We can name it using three non - collinear points, like plane $ ABC $ (or plane $ ABD $, plane $ BCD $, etc., or by the label of the plane, if it had a specific name, but from the figure, the plane with lines $ n $ and $ p $ is the one containing points $ A $, $ B $, $ C $, $ D $).
# Answer:
The plane (e.g., plane $ ABC $, or the plane containing points $ A $, $ B $, $ C $, $ D $)

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Problem 35:

Answer:

Problem 36: