Questions to Ponder 1-1 & 1-2 Geometry Questions to Ponder 1-1 & 1-2

Who is the father (founder) of Geometry? What is Geometry? The study of points, shapes, sizes, and their properties. Who is the father (founder) of Geometry? Euclid

A two dimensional drawing that illustrates a three dimensional shape. Net A two dimensional drawing that illustrates a three dimensional shape.

Isometric Drawing Shows a corner view of a three-dimensional figure along with a front, side, and top view.

Real World

Orthographic Drawing Shows three separate views of a three dimensional drawing (top, front, and side).

You try Page 7 6 - 8, 24 - 26, 34 - 37

A Point Indicates a location. Cannot be measured Named by a capital letter or its location A

Line Straight path that extends in both directions without an end. Cannot be measured. Has infinitely many points Named… Any two points on the line A lower case letter A C B m

Line Name the given line… A C B m

Segment Part of a line that consists of two endpoints and all of the points between them. Can be measured. Named… Any two points on the line A C B m

Segment Name the segments that are part of the given line… A C B m

Segment Why are these two segments considered to be the same? A C B m

Ray Part of a line that consists of an endpoint and all the additional points on the line going away from it. Cannot be measured. Named… By its endpoint and another point on the ray. A C B m

Ray Name the rays that are part of the given line… A C B m

Ray Why can this one ray be named two different ways? A C B m

Ray Why are these two rays not the same? A C B m

Opposite Rays Two rays that share the same endpoint and form a line. C B m

Which are Opposite Rays B m

Plane Flat surface that extends without end and has no thickness A Cannot be measured. Has infinitely many lines Named… Any three points not on the same line A capital letter A B C X

Constructed Definitions If two workers that work together are considered to be coworkers, then… Points that are on the same line are considered ____________. Points and lines that are in the same plane are considered ___________. collinear coplanar

A ___________ or _________ is an accepted statement or fact. postulate axiom

Postulate 1-1 Through any two points, there is exactly one line. A B D

Postulate 1-1 Through any two points, there is exactly one line. A B D

Postulate 1-1 Through any two points, there is exactly one line. A B D

Postulate 1-1 Through any two points, there is exactly one line. A B D

Postulate 1-2 If two distinct (different) lines intersect, they cross at exactly one point. A B D C

Postulate 1-3 If two distinct (different) planes intersect, they cross at exactly one line.

Assignment Worksheet