1. POINTS, LINES ANDPOINTS, LINES AND
PLANESPLANES
Jim Smith JCHSJim Smith JCHS
Section 1-1Section 1-1

2. What is Geometry?What is Geometry?
 Geometry is the study of shapesGeometry is the study of shapes
 They studied Geometry in AncientThey studied Geometry in Ancient
Mesopotamia & Ancient EgyptMesopotamia & Ancient Egypt
 Geometry is important in the art andGeometry is important in the art and
construction fieldsconstruction fields

3. POINTPOINT
AA POINTPOINT is an exact location onis an exact location on
a graph, shape or in space.a graph, shape or in space.
The ball is aThe ball is a POINTPOINT on the line.on the line.

4. LINELINE
AA LINELINE goes in opposite directionsgoes in opposite directions
and never, ever ends.and never, ever ends.
Take a pearlTake a pearl necklacenecklace and stretch it out.and stretch it out.
The pearls are like points on a line.The pearls are like points on a line.

5. PLANEPLANE
AA PLANEPLANE is a flat surface thatis a flat surface that
goes on forever in all directions.goes on forever in all directions.
Imagine sitting on an island in theImagine sitting on an island in the
middle of the ocean. No mattermiddle of the ocean. No matter
which way you look…all you seewhich way you look…all you see
is water…forever.is water…forever.

6. TO NAME A POINT- WE USETO NAME A POINT- WE USE
A CAPTIAL LETTERA CAPTIAL LETTER
.A.A
.X.X

7. TO NAME A LINE- USE ANY 2TO NAME A LINE- USE ANY 2
POINTS ON THE LINEPOINTS ON THE LINE
LINE RT or LINE ST orLINE RT or LINE ST or
LINE RSLINE RS
R
T
S
RT
RS

8. POINTS ON THE SAME LINE ARE
CALLED COLLINEAR POINTS
A, B, AND Y AREA, B, AND Y ARE
COLLINEARCOLLINEAR
A
Y
B..
.. ..

9. TO NAME A PLANE WE USE 3TO NAME A PLANE WE USE 3
OR 4OR 4 NONCOLLINEARNONCOLLINEAR POINTSPOINTS
PLANE WAG or XAG or WXAPLANE WAG or XAG or WXA
.A.W
.
PLANES CAN BE NAMED USING
1 LETTER …. PLANE Q
Q
X
.G

10. THETHE INTERSECTIONINTERSECTION OFOF
2 LINES IS A POINT2 LINES IS A POINT
s
S IS THE INTERSECTIONINTERSECTION
OF THE 2 LINES

11. LINE AB IS CONTAINED INLINE AB IS CONTAINED IN
PLANEPLANE QQ
Q
A B

12. LINE XYLINE XY INTERSECTSINTERSECTS PLANEPLANE QQ
AT POINT XAT POINT X
Q
X
Y
.

13. THE ARROW INTERSECTSTHE ARROW INTERSECTS
THE TARGET AT 1 POINTTHE TARGET AT 1 POINT

14. Lines YB and XZLines YB and XZ do notdo not intersectintersect
X
Y
B
ZZ ..
.

15. THE INTERSECTION OF 2THE INTERSECTION OF 2
PLANES IS APLANES IS A LINELINE
A
C
E
F
G
B C
H
D
EE
GG

16. YY
W. S.
P
XX
G.
POINTS AND LINES CONTAINED INPOINTS AND LINES CONTAINED IN
THE SAME PLANE ARE CALLEDTHE SAME PLANE ARE CALLED
COPLANARCOPLANAR