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Warm up 8/28,29. On a scratch piece of paper answer the following question s How can you tell if a network is traversable or not? 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. - PowerPoint PPT Presentation
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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
Apply basic facts about points, lines, and planes.
Objective
1-1 Understanding Points, Lines and Planes
point collinearline coplanar
plane endpointsegment postulate
ray
Vocabulary
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
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.
B. Name three lines.
A, B, C, D
Possible answer: AE, BE, CE
Postulate (axiom): a statement that is accepted as true without proof
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?
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.
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.