1. 1-3: Points, Lines, and Planes
Geometry

2. Objectives/Assignment:
Be able to understand basic terms and postulates of geometry.

3. point - ______________________ ______________________
Location with no size, represented by a
small dot, named by a capital letter A
_________________________
a geometric figure consists of
a set of points
space - ______________________
a boundless, 3-D set of all points

4. line - ________________________ ________________________
series of points that extends in
two opposite directions without end m Q PQ
line PQ P
line m QP
Points that lie in the same line are
_______________.
collinear points (PQ are collinear)

5. X, Y, and Z are not collinear X, W, and Z are not collinear
In the figure below, name 3 points that are collinear and 3 points that are not collinear
(noncollinear). X Z W Y
Y, Z, and W are collinear
Why are arrowheads on the lines?
X, Y, and Z are not collinear
X, W, and Z are not collinear

6. __________________________________
Plot __________________________________
__________________________________
A(0, -4), B (2, 2), and C(3, 5) on a coordinate
plane. C B A
_____________________________________________
What are your observations?
Points A, B,
and C are collinear.

7. a flat surface that has no thickness;
plane - _______________________ _______________________ _______________________ _______________________
contains many lines
and extends
infinitely far in the direction of its
lines. R B C A
Plane R
Plane ABC
*A, B, C are
noncollinear points
Points and lines in the same plane are ___________.
coplanar

8. 1. Name two different planes that contain points C and G.B F D H A E J
1. Name two different planes that contain points C and G.
plane BCG, plane DCG
2. Name the intersection of plane AED and plane HEG. HE
3. How many planes contain the points A, F, and H? 1
(3 noncollinear points)

9. Are points B, C, and E coplanar?G B F D H A E J
Are points B, C, and E coplanar?

10. postulate - _____________________ _____________________
or axiom; an accepted
statement of fact
Postulate 1-1_________________________
______________________________
Through any two points,
there is exactly one line. m B A

11. ______________________________
Postulate 1-2 ________________________
______________________________
If two lines intersect,
then
they intersect in exactly one point.
Postulate 1-3 ________________________
______________________________
If two planes intersect,
then
they intersect in exactly one line. P
Plane PQR and Plane QRS intersect at QR S Q R

12. ______________________________
Postulate 1-4 ___________________________
______________________________
Through any 3 noncollinear
points there is exactly one plane. B A C
Plane ABC

13. Page 19 #1-10 m A G n D C F B E
Are the 3 points collinear? If so name the line on which they lie.
A, D, E
B, C, D No
Yes – BC, BD, CD, CB, DB, BF,
CF, DF, FD, FB, FC, DC, n

14. Page 20 # 11-16 Name the plane represented by each surface of the box.
Top
EGH

15. Page 20 #17-37 Name the intersection of each pair of planes.X W U V T S Q R
Name the intersection of each pair of planes.
Planes QRS and RSW RS

16. ON YOUR OWN Due tomorrow!!!
Complete page (evens only)
38-42
46-60
68-72