Section 1.1 Points, Lines, and Planes 11/22/2016.

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Presentation transcript:

Section 1.1 Points, Lines, and Planes 11/22/2016

Using undefined terms and definitions Goals Sketching intersections of lines and planes

Vocabulary Definition: Uses known words to describe a new term

Vocabulary Point Names a location in space. Has no dimensions (mass or area). It is represented by a dot.. P

Vocabulary Line A straight path that has no thickness. Extends infinitely in one dimension. It is represented by a straight line with two arrowheads. A B..

Vocabulary Plane A flat surface that has no thickness. Extends infinitely in two dimensions. It is represented by a parallelogram. M

Vocabulary Collinear Points Points that lie on the same line.. A. B. C Points A, B, and C are collinear.

Vocabulary Coplanar Points Points that lie on the same plane. Points A and B are coplanar... A B

Vocabulary Line Segment Consists of point A, point B, and all the points between A and B. A and B are the endpoints of the segment... A B Segment AB

Vocabulary Ray Consists of initial point A and all the points on AB that lie on one side of A. B A.

Opposite Rays Two rays that share a common endpoint and form a line. Vocabulary. B A.. C

Intersect Two or more figures intersect if they have One or more than one point in common. A B Vocabulary C D E.

1. Name 4 coplanar points 2. Name 4 non-coplanar points 3. Name 3 collinear points Example 1 L N M OP

Draw three collinear points A, B, and C. Draw point D which is not collinear With A, B, and C Draw and Example 2

Name two pairs of opposite rays in the figure below. Example 3 EFGH

Sketch each figure described below. a.A line and a plane that do not intersect. b.two planes that do not intersect and a line that intersects each plane in one point. Example 4

Homework Pg 9-11 #13-28 all