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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
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Apply basic facts about points, lines, and planes.
Objective
1-1 Understanding Points, Lines and Planes
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point collinearline coplanar
plane endpointsegment postulate
ray
Vocabulary
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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.
M
K
L
N
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Points that lie on the same plane are coplanar.
Otherwise they are noncoplanar.
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Example 1: Naming Points, Lines, and Planes
A. Name four coplanar points.
B. Name three lines.
A, B, C, D
Possible answer: AE, BE, CE
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Postulate (axiom): a statement that is accepted as true without proof
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Name a line.
Example 2: Identifying Points and Lines in a Plane
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?
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Remember: An intersection is the set of all points that two or more figures have in common.
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Example 3: Representing Intersections
A. Sketch two lines intersecting in exactly one point.
B. Sketch a line that lies in a plane.
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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.
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Skew Lines
Two or more noncoplanar lines that do not intersect but are not parallel.
Name a pair of skew lines
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Gallery Walk
Everything should be put away except for your Geometric Artwork.
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What do you notice?What do you wonder?
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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.
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Lockers in the B-Building
Geometric Sketch
A B C
D
E F
Geometric Description
... knowyou do else What ...
angles.interior side-same are and Angles
. al transversby thecut areThey
parallel.not are that lines twoare
DEBABE
BE
DFandAC
Reflection
This assignment helped me…I liked it because …One suggestion to improve this assignment is …
Link
The top and bottom of the row of lockers are the two lines. The side of a stack of lockers is the transversal.