1-1
POINTS, LINES,
AND
PLANES
HOMEWORK #1
I.
For the figure shown, classify each statement as True or False.
1) True
6) True
11) True
2)
7)
12)
False
True
False
3)
8)
False
False
4)
9)
True
True
5)
10)
False
True
III. Using the figure shown, complete each of the following questions.
1)
2)
3)
line EF
4)
5)
7)
plane HFG and plane ADB
plane HFG and plane ADB
6)
8)
IV.
1)
2)
3)
4)
5)
6)
7)
8)
plane ABF and plane GFB
yes
9)
no
Using the figure shown, complete each of the following questions.
R, S, K
plane N
P
line RS
Yes, line RS lies on plane N and point K lies on RS. A plane extends infinitely in all
directions.
No, point T lies on plane M which interests plane N. Points T is not on the line of
intersection of the two planes.
Yes. They are three, noncollinear points!
No, they are in different planes – they are skew lines.
MPH/KAL 8/14
1
V.
For each diagram shown, write a description that would allow another student
to recreate the diagram.
1) Lines g, h and i do not intersect. Lines e and f
interest line g at point G. line f interest line h at
points H and line i at point J. Line e intersects
line h at points I and line i at point K.
2) Plane FHG and plane JKI are perpendicular and
intersect at line a. Plane S contains points JKI and
plane T contains points FGH. Point K lies on line a
and planes S and T.
MPH/KAL 8/14
2
MPH/KAL 8/14
3