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Draw a net for the solid shown. Label the net with its dimensions. Ch 1.3: Basics of Geometry. The undefined terms of geometry. They really don’t exist. But if they don’t exist, then geometry doesn’t exist. But geometry exists so they must exist. But they don’t…………. POINT.
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Draw a net for the solid shown. Label the net with its dimensions.
Ch 1.3: Basics of Geometry The undefined terms of geometry They really don’t exist. But if they don’t exist, then geometry doesn’t exist. But geometry exists so they must exist. But they don’t………….
POINT • 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. . B . A . C
LINE • 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 l line l BC AB AC CA
Plane • 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.
Coplanar - Collinear - • Points that lie in the same plane are coplanar. • Points M, N, and O are coplanar. Points that lie on the same line. C A B D Points A, B, and C are collinear. Points A, B, and D are noncollinear.
Postulate (Axiom) SPACE Space is all possible points. • Does not have to be “proven” • It is an accepted statement or fact.
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. If two points are in a plane, then the line containing them is in the same plane. Through any three non-collinear points there is exactly one 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. ______ & ______
Name another point in each plane. • Plane RVW • Plane UVW • Plane UXS • Plane TUX • 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