Geometry
Name: __________________________
Worksheet 1 – 1 (B) : Points, Lines, and Planes
l
Questions 1-24. Classify each statement as true or false.
______ 1. Points A, D, and F are collinear.
k
______ 2. Points A, E, and F are collinear.
______ 3. Points B, C, and E are noncollinear.
______ 4. Line l and line n intersect at E.
______ 5. AB contains point C.
______ 6. Plane EFJI and plane KJFG intersect on JF.
______ 7. Plane EHLI and plane KJFG intersect in LK.
______ 8. Plane LKJI, plane EIJK, and plane EHLI intersect at K.
______ 9. JK and plane JIEF intersect at J.
______ 10. The intersection of a line and a plane may be the line itself.
______ 11. Two points can determine two different lines.
______ 12. Three noncollinear points determine exactly one line.
______ 13. Two lines can intersect in exactly one point.
______ 14. Postulates are statements that must be proved.
______ 15. Two points determine a plane.
______ 16. A plane contains at least three noncollinear points.
______ 17. Line k always has at least two points on it.
______ 18. Theorems are statements that require proof.
______ 19. Any three points are always coplanar.
______ 20. It is possible that points P and Q are in plane M, but PQ is not.
______ 21. Two planes can intersect in two different lines.
______ 22. Two planes can be skew to each other.
______ 23. Two planes can intersect in exactly one point.
______ 24. A line and a plane can intersect in exactly one point.
n
Questions 25-30. Choose the best answer.
______ 25. A line may be named by a single lower-case cursive letter or by
__?__ points on the line.
A.
2
B.
3
C.
4
______ 26. A plane may be named by a single capital cursive letter or by __?__ points
in the plane.
A.
2
B.
3
C.
4
______ 27. Three collinear points are contained by __?__ plane(s).
A.
no
B.
exactly one
C.
an infinite number of
______ 28. Two collinear points are contained by __?__ plane(s).
A.
no
B.
exactly one
C.
an infinite number of
______ 29. If two lines intersect, then their intersection is a __?__.
A.
point
B.
line
C.
plane
______ 30. If two planes intersect, then their intersection is a __?__.
A.
point
B.
line
C.
plane
Questions 31-38. Complete.
__________ 31.
Name two points that determine line l.
__________ 32.
Name three points that determine plane M.
__________ 33.
Name the intersection of planes M and N.
__________ 34.
Does BD lie in plane M?
__________ 35.
Does plane N contain any points that are
not on line p?
__________ 36.
Name the intersection of line l and line p.
__________ 37.
Are there more than two points on line p?
__________ 38.
Are there more than three points in plane N?
l
M
C
E
p
A
B
N
D