1-1
POINTS, LINES,
AND
PLANES
HOMEWORK #1
I.
For the figure shown, classify each statement as True or False.
1)
is in plane M.
2)
Plane M contains
3)
Line l intersects
4)
and
5)
is in plane M.
.
at point B.
intersect at A.
6)
intersects plane M at point B.
7)
A, B, and E are collinear.
8)
9)
A, B, and C are coplanar.
10) B, C, F, and G are coplanar.
11) A, B, C, and G are coplanar.
II.
1)
B, F, and D are collinear.
12) A, B, C, and F are coplanar.
Sketch and label the figures described.
Lines m, p, and h intersect at K.
MPH/KAL 8/14
2)
Line
intersects plane X at C.
1
3)
Points A, B, C, and D are
noncollinear.
4)
Points A, B, C, and D are
noncoplanar.
5)
Planes M and N intersect in line y.
6)
Plane P contains
do not intersect.
and
that
III. Using the figure shown, complete each of the following questions.
1)
Name three lines that intersect at G.
2)
Name two planes that intersect at
3)
Name the intersection of planes GEH and EAB.
4)
Name a set of skew lines.
5)
Name a set of parallel planes.
6)
Name a set of parallel lines.
7)
Name two planes that do not intersect.
8)
Are D, H, G, and C coplanar?
9)
Are D, H, G, and F coplanar?
MPH/KAL 8/14
.
2
IV.
Using the figure shown, complete each of the following questions.
1)
Name three collinear points.
2)
Name the plane that contains points R, S,
and Q.
3)
Name the intersection of line m and plane
N.
4)
Name the intersection of planes M and N.
5)
Is K on plane N? Explain your answer.
6)
Does T lie on plane N? Explain your answer.
7)
Are R, P, and T coplanar? Explain your answer.
8)
Do lines m and l intersect? Explain your answer.
MPH/KAL 8/14
3
V.
For each diagram shown, write a description that would allow another student
to recreate the diagram.
1)
2)
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1-1
POINTS, LINES,
AND
PLANES
HOMEWORK #2
I.
Determine if each of the following statements is Sometimes, Always, or Never
True.
1)
The intersection of two lines is a point. _____________________
2)
Two lines that do not intersect are parallel. _____________________
3)
A line extends infinitely in two dimensions. _____________________
4)
Coplanar points are collinear. _____________________
5)
Collinear points are coplanar. _____________________
6)
Two coplanar lines intersect. _____________________
7)
Two noncoplanar lines intersect. _____________________
II.
Complete each of the following questions using the diagram shown.
1)
Name the three lines that intersect at point A.
2)
Name the line of intersection of planes GAD and FJI.
3)
Name a set of skew lines.
4)
Name a set of parallel lines.
6)
Are line AG and line EC coplanar? Explain your answer.
MPH/KAL 8/14
5)
Name a set of parallel planes.
5
III. Complete each of the following questions using the diagram shown.
1)
Name a line that contains point E.
2)
Name a point contained in line n.
3)
What is another name for line p?
4)
Provide two different names for the plane containing lines n and p.
5)
Name the intersection of plane G and line q.
6)
Name the intersection of plane G and line p.
IV.
Sketch and label the figures described.
1)
Point K lies on line RT.
3)
Line YP lies in plane B and contains
4)
point C, but does not contain point H.
MPH/KAL 8/14
2)
Plane J contains line s.
Lines q and f intersect at point Z
in plane U.
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V.
Complete each of the following questions using the diagram shown.
1)
How many planes are shown in the figure?
2)
How many of the planes contain points F and E? Name them.
3)
Name four points that are coplanar.
4)
Name a pair of parallel planes.
5)
Name a set of skew lines.
6)
Are points A, B, and C coplanar? Explain your answer.
7)
Are points A, E, and C coplanar? Explain your answer.
MPH/KAL 8/14
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