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Warm up 8/28,29
On a scratch piece of paper answer the following questions
1) How can you tell if a network is traversable or not?
2) What are the undefined terms and why are they
used?
3)Create a scenario where deductive reasoning is
used
1-1 Understanding Points, Lines and Planes
Objective
Apply basic facts about points, lines, and planes.
Vocabulary
point
line
plane
segment
collinear
coplanar
endpoint
postulate
ray
Points that lie on the same line are collinear.
Example: K, L, and M are collinear.
Points that do not lie on the same line are
noncollinear.
Example: K, L, and N are noncollinear.
K
L M
N
Points that lie on the same plane are coplanar.
Otherwise they are noncoplanar.
Example 1: Naming Points, Lines, and Planes
A. Name four coplanar points. A, B, C, D
B. Name three lines. Possible answer: AE, BE, CE
Postulate (axiom): a statement that is
accepted as true without proof
Example 2: Identifying Points and Lines in a Plane
Name a line.
GH
Name the plane using three
noncollinear points.
plane GHF
If there was a point T in between G and H
on line n, could we call the plane GTH, why
or why not?
Remember: An intersection is the set of all
points that two or more figures have in common.
Example 3: Representing Intersections
A. Sketch two lines intersecting in exactly one
point.
B. Sketch a line that lies in a plane.
Example 3 (continued)
C. Sketch a figure that shows two lines
intersect at one point in a plane, but only
one of the lines lies in the plane.
Skew Lines
Two or more noncoplanar lines that do not
intersect but are not parallel.
Name a pair of skew lines
Gallery Walk
Everything should be put away except for
your Geometric Artwork.
What do you notice?
What do you wonder?
Geometry in the World
Your assignment is to find five (5) real-world objects
that illustrate the geometric figures.
These images must be in your world, not taken from
the internet.
Link
Lockers in the B-Building
The top and bottom of the row
of lockers are the two lines. The
side of a stack of lockers is the
transversal.
Geometric Description
AC and DF are two lines that are not parallel.
They are cut by the transvers al BE .
Angles ABE and DEB are same - side interior angles.
... What else do you know ...
Geometric Sketch
B
A
C
Reflection
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