5. VOCABULARY
1. U n d e fi n e d T e r m : The things in Geometry that can
really only be explained in examples and
descriptions
2. Point:
3. Line:
6. VOCABULARY
1. U n d e fi n e d T e r m : The things in Geometry that can
really only be explained in examples and
descriptions
2. P o i n t : A location in space with no shape or size;
noted as a capital letter
3. Line:
7. VOCABULARY
1. U n d e fi n e d T e r m : The things in Geometry that can
really only be explained in examples and
descriptions
2. P o i n t : A location in space with no shape or size;
noted as a capital letter
3. L i n e : An infinite number of points that together have
no thickness or width; need two points to determine
the line; use either a lowercase letter or AB
9. VOCABULARY
4. P l a n e : A flat surface with at least three points that
goes on forever in all directions; three points
determine a plane; Often a capital script letter
5. Collinear:
6. Coplanar:
7. Intersection:
10. VOCABULARY
4. P l a n e : A flat surface with at least three points that
goes on forever in all directions; three points
determine a plane; Often a capital script letter
5. C o l l i n e a r : Points that lie on the same line
6. Coplanar:
7. Intersection:
11. VOCABULARY
4. P l a n e : A flat surface with at least three points that
goes on forever in all directions; three points
determine a plane; Often a capital script letter
5. C o l l i n e a r : Points that lie on the same line
6. C o p l a n a r : Points that lie in the same plane
7. Intersection:
12. VOCABULARY
4. P l a n e : A flat surface with at least three points that
goes on forever in all directions; three points
determine a plane; Often a capital script letter
5. C o l l i n e a r : Points that lie on the same line
6. C o p l a n a r : Points that lie in the same plane
7. I n t e r s e c t i o n : Where two figures meet; this is the set
of points they have in common
14. VOCABULARY
8. D e fi n i t i o n : Explanations that are used based off of
other undefined and defined terms
9. Defined Terms:
10. Space:
15. VOCABULARY
8. D e fi n i t i o n : Explanations that are used based off of
other undefined and defined terms
9. D e fi n e d T e r m s : Another way of working with a
definition
10. S p a c e : An infinite three-dimensional set of points
16. EXAMPLE 1
Use the figure to name each of the following.
a. A line containing point R
b. A plane containing point P
17. EXAMPLE 1
Use the figure to name each of the following.
a. A line containing point R
m, RT, RS, etc.
b. A plane containing point P
18. EXAMPLE 1
Use the figure to name each of the following.
a. A line containing point R
m, RT, RS, etc.
b. A plane containing point P
A
19. EXAMPLE 2
Name the geometric shape modeled by each object.
a. A crack in a sidewalk
b. A drop of water on the sidewalk
20. EXAMPLE 2
Name the geometric shape modeled by each object.
a. A crack in a sidewalk
line
b. A drop of water on the sidewalk
21. EXAMPLE 2
Name the geometric shape modeled by each object.
a. A crack in a sidewalk
line
b. A drop of water on the sidewalk
point
22. EXAMPLE 3
Draw and label plane T that contains lines UV and
WX such that the lines intersect at point Z. Then,
add a point H to plane T so that it is not collinear
with either UV or WX.
23. EXAMPLE 3
Draw and label plane T that contains lines UV and
WX such that the lines intersect at point Z. Then,
add a point H to plane T so that it is not collinear
with either UV or WX.
Compare your drawings with a neighbor; discuss
24. EXAMPLE 4
Points A(−3, 3) and B(2, −5) form a line. Graph the
points and line on the coordinate plane, then add a
point C so that it is collinear with A and B.
25. EXAMPLE 4
Points A(−3, 3) and B(2, −5) form a line. Graph the
points and line on the coordinate plane, then add a
point C so that it is collinear with A and B.
26. EXAMPLE 4
Points A(−3, 3) and B(2, −5) form a line. Graph the
points and line on the coordinate plane, then add a
point C so that it is collinear with A and B.
x
y
27. EXAMPLE 4
Points A(−3, 3) and B(2, −5) form a line. Graph the
points and line on the coordinate plane, then add a
point C so that it is collinear with A and B.
x
y
A
28. EXAMPLE 4
Points A(−3, 3) and B(2, −5) form a line. Graph the
points and line on the coordinate plane, then add a
point C so that it is collinear with A and B.
x
y
A
B
29. EXAMPLE 4
Points A(−3, 3) and B(2, −5) form a line. Graph the
points and line on the coordinate plane, then add a
point C so that it is collinear with A and B.
x
y
A
B
30. EXAMPLE 4
Points A(−3, 3) and B(2, −5) form a line. Graph the
points and line on the coordinate plane, then add a
point C so that it is collinear with A and B.
x
y
A
B
C
31. EXAMPLE 5
Answer the following.
a. How many points are need to form a line?
b. How many points are needed to form a plane?
c. What is the intersection of two planes?
d. What is the intersection of two lines?
e. What is the difference between collinear and coplanar?