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.