1. 1.11.1 Identify Points, Lines, and Planes
Bell Thinger
Graph each inequality.
1. x ≤ 1
2. –2 ≤ x ≤ 3
ANSWER 8
ANSWER
3. James has more than 5 but fewer than 11 fish in his
aquarium. Write an inequality to express the
number of fish f James has.
ANSWER 5 < f < 11

2. 1.1

3. 1.1

4. 1.1

5. 1.1Example 1
Use the diagram.
SOLUTION
a. Other names for PQ are QP and line n.
Other names for plane R are plane SVT
and plane PTV.
a. Give two other names for PQ and for plane R.

6. 1.1
Use the diagram.
b. Name three points that are collinear.
Name four points that are coplanar.
SOLUTION
b. Points S, P, and T lie on the same line, so they
are collinear. Points S, P, T,and V lie in the same
plane, so they are coplanar.
Example 1

7. 1.1Guided Practice
ANSWER TS, PT; point V
1. Use the diagram in Example 1. Give two other
names for ST . Name a point that is not coplanar
with points Q, S, and T.

8. 1.1Example 2
Use the diagram.
SOLUTION
a. Give another name for GH .
a. Another name for GH is HG .

9. 1.1Example 2
Use the diagram.
SOLUTION
b. Name all rays with endpoint J .
Which of these rays are opposite rays?
b. The rays with endpoint J are JE , JG , JF , and JH .
The pairs of opposite rays with endpoint J are JE
and JF , and JG and JH .

10. 1.1Guided Practice
Use the diagram.
3. Are HJ and JH the same ray ? Are HJ and HG the
same ray? Explain.
ANSWER FE
ANSWER
No; the rays have different endpoints.
Yes; points J and G lie on the same side of H.
2. Give another name for EF.

11. 1.1Example 3
a. Sketch a plane and a line that is in the plane.
b. Sketch a plane and a line that does not intersect
the plane.
c. Sketch a plane and a line that intersects the plane
at a point.
SOLUTION
a. b. c.

12. 1.1Example 4
Sketch two planes that intersect in a line.
SOLUTION
Sketch a second plane that is
horizontal. Shade this plane a different
color. Use dashed lines to show where
one plane is hidden.
STEP 2
Sketch the line of intersection.STEP 3
Sketch a vertical plane.
Shade the plane.
STEP 1

13. 1.1Guided Practice
4. Sketch two different lines that intersect a plane
at the same point.
ANSWER

14. 1.1Guided Practice
Use the diagram at the right.
5. Name the intersection of PQ and
line k.
ANSWER point M
6. Name the intersection of plane A and plane B.
7. Name the intersection of line k and plane A.
ANSWER line k
ANSWER line k

15. 1.1Exit Slip
1. Give two other names for AE.
2. Give another name for plane S.
ANSWER Sample answer:
plane DEF or EBF
EC , ACANSWER
Use the figure for exercises 1-4.

16. 1.1Exit Slip
Use the figure for exercises 1-4.
3. Name three collinear points.
ANSWER Sample answer:
A, E, C or D, E, B
ANSWER E
4. Name the intersection of AC
and plane S.

17. 1.1Homework
Finish copying chapter 1 vocabulary.