Day 3 K Basic Terms ws

Name: ____________________________
Basic Geometric Terms Worksheet
Period: ________
m
Use the given figure for each of the following.
E 
1. Give four other names for CB.
A
2. Write another name for line p.
D
B
G
3. What point(s) do(es) AB and line m have in common.
C
4. List all named points which lie on line p.
5. Write four other names for AC.
p
True or False:
6. A and C are collinear.
7. E, C, and D are collinear.
E
8. A, B, C, and F are coplanar.


F
9. B, C, D, and E are coplanar.
A
10. A, B, and F are non-coplanar.
A
B

C

D
11. B, C, and E are non-collinear.
12. A, B, C, and F are non-coplanar.
State whether they are:
A. Coplanar and non-collinear
C. Coplanar and collinear
B. Non-coplanar and non-collinear
D. Non- coplanar and collinear
13. A, D, B, G
14. A, C, and D
K
J

A
G
F
17. Does there exist a set of points that could be classified as answer choice D?
18. Name the intersection of the two planes in the figure at the right.
19. Use the figure at the right to name 3 points that are…
a. Collinear and coplanar: _____________
b. Noncollinear and coplanar: _____________
c. Noncollinear and noncoplanar (4 points): _____________
20. Use always, sometimes or never to make a true statement.
a. Intersecting lines are _____________ coplanar.
C
H
15. H and C
16. B, C, E, and F
B
D
E
b. Two planes _____________ intersect in exactly one point.
c. Three points are _____________ coplanar.
d. A plane containing two points of a line _____________ contains the entire line.
e. Four points are _____________ coplanar.
f. Two lines _____________ meet in more than one point.
21. Graph the points and state whether they are collinear.
a. (3, -3), (2, -3), (-3, 1) ________________
b. (2, 2), (-2, -2), (3, 2) ________________
c. (-3, -3), (-1, -2), (1, -1) _______________
22. How many planes contain each line and point?
a. EF and point G: _________
b. FG and point P: _________
c. PH and point E: _________
d. Make a conjecture. What do you think is true of a line and a point not on that line?
________________________________________________________________
23. If possible, draw a figure to fit each description. Otherwise write not possible.
a. Four points that are collinear
b. Two points that are noncollinear
c. Three points that are noncollinear
d. Three points that are noncoplanar