Draw a net for the solid shown. Label the net with its dimensions.

The undefined terms The undefined terms of geometryof geometry

They really don’t exist. But if they They really don’t exist. But if they don’t exist, then geometry doesn’t don’t exist, then geometry doesn’t exist. But geometry exists so they exist. But geometry exists so they

must exist. But they must exist. But they don’t………….don’t………….

Ch 1.3: Basics of Ch 1.3: Basics of GeometryGeometry

POINTPOINT• is a specific place.

• has no size at all

No length, no width, no depth.

• is represented by a dot.

• is named with capital letters.

. A

.B

. C

LINELINE• a straight arrangement of points.

• has infinite length (goes on forever in each direction)

• named by two points that are on the line w/ a small line (with arrows) on top.

• can also be named by a single lower case script letter.

. . .A B C

AB ACBC

CA

lline l

PlanePlane

• a flat surface that goes forever in all directions.

• has infinite length and width, but no depth.

• can be represented by any flat surface.

• named using three points or a script capital letter.

• Examples of a plane: your desktop, a piece of paper, the whiteboard.

Collinear Collinear --

Points that lie on the same line.

Points A, B, and C are collinear.

Points A, B, and D are noncollinear.

A B CD

Coplanar -Coplanar -► Points that lie in the same plane Points that lie in the same plane

are coplanar.are coplanar.

► Points M, N, and O are coplanar.Points M, N, and O are coplanar.

Postulate (Axiom)Postulate (Axiom)Does not have to be “proven”Does not have to be “proven” It is an accepted statement or It is an accepted statement or

fact.fact.

SPACESPACESpace is all

possible points.

The intersection of two lines is a point

The intersection of two planes is a line.

Through any two points there is

exactly one line.

Through any three non-collinear points there is exactly one

plane.

If two points are in a plane, then the line containing them is in the same plane.

What is the intersection of AD & DH? ____

What is the intersection of plane ABCD & DCGH? _____What line exist between G & H? ___ F & H? ___

Name the plane that has A, B, & E ? ______

A, C, & G ? ______

Name the two planes that contain CG. ______ & ______

Quick Check - pg 19 #1-24, 30-37, Quick Check - pg 19 #1-24, 30-37, 6464

*can write answers only*can write answers only

Name another point in each plane.

30.Plane RVW

31.Plane UVW

32.Plane UXS

33.Plane TUX

34.Plane TVR Is the given point coplanar with the other three points?

35. Point Q with V, W, S

36. Point U with T, V, S

37. Point W with X, V, R