Chapter 1 Section 1.

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Presentation transcript:

Chapter 1 Section 1

Objectives Identify, name, and draw points, lines, segments, rays, and planes. Apply basic facts about points, lines, and planes.

The most basic figures in geometry are undefined terms, which cannot be defined by using other figures. The undefined terms point, line, and plane are the building blocks of geometry.

Points that lie on the same line are collinear Points that lie on the same line are collinear. K, L, and M are collinear. K, L, and N are noncollinear. Points that lie on the same plane are coplanar. Otherwise they are noncoplanar. M K L N

Example A. Name four coplanar points. A, B, C, D B. Name three lines. Possible answer: AE, BE, CE

Example Use the diagram to name two planes. Possible answer: Plane R and plane ABC.

Draw and label each of the following. Example Draw and label each of the following. A. a segment with endpoints M and N. M N B. opposite rays with a common endpoint T. T

A postulate, or axiom, is a statement that is accepted as true without proof. Postulates about points, lines, and planes help describe geometric properties.

Use a dashed line to show the hidden parts of any figure that you are drawing. A dashed line will indicate the part of the figure that is not seen.