Word of Math
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Geometry Worksheet – Points, Lines, Planes
** Digital Version Included! **
Teacher Suggestions:
• Remind students that point, line, and plane are undefined
because there are no terms available to define them! The best
way to conceptualize undefined terms is to describe them
using physical examples!
• Use this worksheet to begin emphasizing the importance of
using correct symbols to sketch and label diagrams in
Geometry (Example: point P, AB, plane M).
• Use this worksheet to begin teaching Geometry vocabulary
(“lies on”, “lies in”, “collinear”, “coplanar”, etc.)
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Word of Math
© Word of Math
Geometry
Worksheet – Points, Lines, Planes
Name: ______________________________
Date: ____________
Period: _______
1.) Draw an oval around all words or phrases that represent a physical example of a point. Underline all
words or phrases that represent a physical representation of a line. Draw a parallelogram around all
words or phrases that represent a physical example of a plane.
star in the sky
guitar string
sheet of paper
cable
desktop
grain of sand
tip of pencil
period at the end of a sentence
thread
floor
telephone wire
flat screen
freckle
bed sheet
uncooked spaghetti
Refer to the diagram at the right.
2.) Name a point that lies on line l and on line n _____________________
3.) Name a point that does not lie on line l or line n _________________
Use this diagram for #2 - 6
l
T
4.) List six names for line l _________________________________________
↔
5.) List two other ways to name SQ ___________________________________
S
R
Q
P
n
M
6.) List at least two other names for plane M ____________________________
Sketch and label a diagram for each of the following.
7.) line m containing points A and B
↔
↔
8.) plane N containing PQ and X not on PQ
↔
↔
9.) PQ and XY intersect at point A
10.) line n and plane M intersect only at point X
↔
↔
11.) AB and FG lie in plane N, but do not intersect
12.) X, Y, and Z are collinear and lie in plane P
© Word of Math
Refer to the diagrams at the right.
C
13.) Name the intersection of line l and line m ___________
A
14.) Name the intersection of plane M and plane N ______________
l
n
N
B
m
D
15.) Name the plane in which point C lies _____________
M
16.) Are points A, B, C, and D coplanar? Explain your answer.
↔
17.) Name the intersection of plane W and PS ____________
# 13 - 16
P
↔
↔
18.) Do PS and QR intersect? Explain your answer.
T
R
↔
19.) Name the intersection of line l and TQ __________
W
l
Q
# 17 - 19
S
Vocabulary. Fill in the blanks with the best words or phrases (used exactly once) from the word bank.
m
Q
P
l
Word Bank
intersect
passes through
N
contains
lies on
coplanar
collinear
lies in
20.) Plane N ______________________ line l
24.) Line l __________ ___________ P and Q
21.) Point P ___________ ______ line l
25.) Line m and line l _________________ at P
↔
22.) PQ __________ _____ plane N
26.) Points P and Q are ___________________
23.) Line l and line m are ___________________
Crossword Puzzle
Across
2.) points or lines that do not lie in the same plane
5.) points that lie on the same line
6.) points or lines that do lie in the same plane
3
8.) undefined term that represents a location in space
9.) undefined ____ are only explained with descriptions or examples
10.) undefined term that represents a straight path with no
length or width
6
Down
1.) the set of points two or more geometric figures have in common
3.) boundless, three-dimensional set of all points
4.) the study of the properties of points, lines, planes, and solids
7.) undefined term that represents a flat surface that extends
infinitely in all directions
1
2
4
5
7
8
10
© Word of Math
9
Geometry
1.1 Worksheet – Points, Lines, Planes
ANSWER KEY
Name: ______________________________
Date: ____________
Period: _______
1.) Draw an oval around all words or phrases that represent a physical example of a point. Underline all
words or phrases that represent a physical representation of a line. Draw a parallelogram around all
words or phrases that represent a physical example of a plane.
star in the sky
guitar string
sheet of paper
cable
desktop
grain of sand
tip of pencil
period at the end of a sentence
thread
floor
telephone wire
flat screen
freckle
bed sheet
uncooked spaghetti
Refer to the diagram at the right.
point Q
2.) Name a point that lies on line l and on line n _____________________
Use this diagram for #2 - 6
point T
3.) Name a point that does not lie on line l or line n _________________
↔ ↔ ↔ ↔ ↔ ↔
PQ, QP, QR, RQ, PR, RP
4.) List six names for line l _________________________________________
l
T
S
R
Q
↔
↔
line n, QS
5.) List two other ways to name SQ ___________________________________
P
n
M
plane PSQ, plane TQR (answers vary, name with any 3
6.) List at least two other names for plane M ____________________________
noncollinear points)
Sketch and label a diagram for each of the following.
7.) line m containing points A and B
X
B
A
↔
↔
8.) plane N containing PQ and X not on PQ
m
Q
P
N
↔
↔
9.) PQ and XY intersect at point A
P
10.) line n and plane M intersect only at point X
n
Y
A
X
X
Q
M
↔
↔
11.) AB and FG lie in plane N, but do not intersect
A
F
12.) X, Y, and Z are collinear and lie in plane P
B
Z
Y
G
X
P
N
© Word of Math
Refer to the diagrams at the right.
C
point A
13.) Name the intersection of line l and line m ___________
line n
14.) Name the intersection of plane M and plane N ______________
A
l
15.) Name the plane in which point C lies _____________
plane M
m
N
B
D
M
16.) Are points A, B, C, and D coplanar? Explain your answer.
n
# 13 - 16
No, because points A, B, C, and D do not all lie in the same plane
↔
point T
17.) Name the intersection of plane W and PS ____________
P
↔
↔
18.) Do PS and QR intersect? Explain your answer.
↔
↔
No, because PS and QR have no points in common
T
R
↔
point Q
19.) Name the intersection of line l and TQ __________
W
l
Q
S
# 17 - 19
Vocabulary. Fill in the blanks with the best words or phrases (used exactly once) from the word bank.
m
Q
P
l
Word Bank
intersect
passes through
N
contains
coplanar
lies on
collinear
lies in
contains
20.) Plane N ______________________
line l
passes
through P and Q
24.) Line l __________
___________
lies
on
21.) Point P ___________
______
line l
intersect
25.) Line m and line l _________________
at P
↔
22.) PQ __________
lies
_____
in plane N
26.) Points P and Q are ___________________
collinear
coplanar
23.) Line l and line m are ___________________
Crossword Puzzle
Across
2.) points or lines that do not lie in the same plane
5.) points that lie on the same line
6.) points or lines that do lie in the same plane
3
8.) undefined term that represents a location in space
S
9.) undefined ____ are only explained with descriptions or examples P
10.) undefined term that represents a straight path with no
A
length or width
6
Down
1.) the set of points two or more geometric figures have in common
3.) boundless, three-dimensional set of all points
4.) the study of the properties of points, lines, planes, and solids
7.) undefined term that represents a flat surface that extends
infinitely in all directions
C O 7P
E
L
A
10 I
N
L
E
© Word of Math
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