Warm-up
description
Transcript of Warm-up
Warm-up1. 5x + 4(x – 1) = 172. 5(x+2) = 3(x – 6)3.
4.
5. 2x – 4(x+1) = 2x + 20
10)3(32
x
18923
x
Points, Lines and PlanesSection 1.2SOL:
PointsAn undefined term in geometry.They have no sizeHow do you represent a point?
By using a dotHow do you label a Point?
With a capital letterNever use the same letter on two
different points.What are some examples of points?
Stars, Corner of the room
A
B
BXC
LinesUndefined term in geometry.They are made up of points and have no
thickness or width.They Extend indefinitely
There are 2 Ways to label lines:1. Using small script letter – line t2. Using any two points on the line –
Never name using three letters -
t XY
Z
zyzxyxyzxzxy ,,,,,xyzX
Examples of lines:Phone lines strung between poles,
spider webs, sun beams.Collinear Points:
Points that lie on the same line.
Non-collinear Points:Points that do not fall on the same line.
A
B
BA
PlanesUndefined term in geometryAre thought of as flat surfaces that extend
indefinitely in all directions and have no thickness.
There are two ways to label planes:1. Using a capital script letter – S2. Using any three non-collinear points –
XYZ, XZY, YXZ, YZX, ZXY, ZYX
S
XZ
Y
Coplanar:Points that lie on the same
plane.
Non-coplanar: Points that do not lie on the
same plane.
Example: Use the figure to name each of the following.
1. Give two other names for .2. Give two other names for Plane R.3. Name 3 collinear points.4. Name 4 points that are coplanar.5. Name a point that is not coplanar with points
Q,S,and T.
V
R
Q
SP
Tm
n
PQ
Example: Draw and label a figure for each relationship.
RA
PE
BD
C
SpaceIs a boundless three dimensional
set of all points. Space can contain lines and planes.
1. How many Planes are there?2. Name three points that are
collinear.3. Are points A, B, C, & D coplanar?
Explain.4. At what point do and
intersect?
AB CD
1. How any planes are there?2. Name three collinear points.3. Are points G, A, B, & F coplanar?
Explain4. At what point do and
intersect?
EF AB
Activity1. Each student gets two cards2. Label one Q and one R.3. Hold the two card together and place
a slit halfway through both cards.4. Hold cards so that the slits matchup
and slide them together. (Tape cards together)
5. Where the cards meet models a line. Draw the line and label two points C and D on the line.
Activity Cont.1. Draw point F on your model so
that it lies in Q but not R. Can F lie on line DC?
2. Draw point G so that is lies in R but not Q. Can G lie on line DC?
3. If point H lies in both Q and R where would it lie? Draw it on your model.
4. Draw a sketch of your model on your paper. Label each thing appropriately.
AssignmentsClasswork: WB PG 7 1-17, 20, 21,
23, 27
Homework - Handouts