1.1 Identify Points, Lines, and Planes Date

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1.1 Identify Points, Lines, and Planes

Goal  Name and sketch geometric figures.

VOCABULARY

Undefined terms

Point

Line

Plane

Date:

Defined Terms

Collinear points, Coplanar points

Line segment, endpoints

Ray

Opposite rays

Intersection

UNDEFINED TERMS

Point: A point has _____ dimension. It is represented by a _____. Notation:

Line: A line has _____ dimension. It is represented by a _____ with two arrowheads, but it extends without end. Through any _____ points, there is exactly _____ line. You can use any _____ points on a line to name it. Notation:

Plane: A plane has _____ dimensions. It is represented by a shape that looks like a floor or wall, but it extends without end.

Through any _____ points not on the same line, there is exactly _____ plane. You can use _____ points that are not all on the same line to name a plane or you can use a capitalized italic letter to name a plane. (We usually use points.)

Collinear points: Collinear points are points that

Coplanar points: Coplanar points are points that

.

.

Example 1

Name points, lines, and planes a.

Give two other names for LN . Give another name for plane Z.

Name three points that are collinear. Name four points that are coplanar.

UNDEFINED TERMS: SEGMENTS AND RAYS

Line segment: The line segment AB, or segment AB , (written as _____) consists of the endpoints A and B

AB _ A and B.

Note that AB can also be named _____.

Ray: The ray AB (written as _____) consists of the endpoint A and all points on that lie on the same side of _____ as _____.

AB

Opposite Rays: Opposite rays are rays that

Intersection: The intersection of two or more geometric figures is(are)

.

Example 2

Name segments, rays, and opposite rays a.

Give another name for VX . b.

Name all rays with endpoints W. Which of these rays are opposite?

.

The intersection of the lines in example 2 is:

Example 3

Sketch Intersections of lines and planes a.

Sketch a plane and a line that intersects the plane at more than one point. b.

Sketch a plane and a line that is in the plane. Sketch another line that intersects the line and plane at a point.

Example 4

Sketch Intersections of planes

Sketch two planes that intersect in a line.

Sketch two different lines that intersect a plane at different points.

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