Name
LESSON
1-1
Date
Class
Practice C
Understanding Points, Lines, and Planes
Use the figure for Exercises 1– 3.
1. “This is plane HIJ.” Explain why this statement is incorrect.
A plane is named with three noncollinear points.
(
+
)
H, I, and J are collinear.
*
2. Name the plane.
Possible answers: plane HIK; plane HJK; plane IJK
‹__› ‹__› ‹_› ‹__› ‹__›
HI, HJ, IJ, IH, JH, and JI
3. Give six names for the line.
__›
__›
4. Explain why ST and TS are or are not the same figure.
___›
‹_›
___›
___›
ST and TS are not the same figure because ST has its endpoint at S
___›
and TS has its endpoint at T.
__›
__›
5. Explain why ST and TS are or are not opposite rays.
___›
___›
ST and TS are not opposite rays because they do not have the same endpoint.
__›
__›
6. Imagine ST and TS drawn in the same plane. Taken together,
what kind of figure do the rays form?
a line
point, line, plane
7. Name three undefined terms in geometry.
Postulates are basic true statements accepted without proof. Each
statement below is incorrect. Rewrite each statement so that it is true.
8. Through any three points there is exactly one plane containing them.
Through any three noncollinear points there is exactly one plane containing them.
9. If two planes intersect, then they intersect in exactly one plane.
If two planes intersect, then they intersect in exactly one line.
Draw your answer in the space provided.
10. Window glass is transparent, so visible light passes
through it. Imagine a double-paned window as two
nonintersecting planes and sunlight as a line. Use
sketches to show that a line contained in neither
of the planes must intersect both or neither of
the two planes.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
5
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