geo proof example

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geo proof example

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Aim: : 

Geometry Leeson: Undefined Terms, Lines, Line Segments 1 Aim: Do Now: What is a point? What is a line? What is a plane? The most fundamental concepts in geometry do not have precise definitions but, we understand their meanings intuitively. We say these concepts are undefined. What are the undefined terms?

Point: : 

Geometry Leeson: Undefined Terms, Lines, Line Segments 2 A point indicates a position or location in space. . P Point: Points are named using capital letters and/or coordinates.

Line: : 

Geometry Leeson: Undefined Terms, Lines, Line Segments 3 A line is an infinite set of adjacent points. Line:

Plane: : 

Geometry Leeson: Undefined Terms, Lines, Line Segments 4 Plane: A plane is a set of points that forms a completely flat surface.

Def: Collinear Points: : 

Geometry Leeson: Undefined Terms, Lines, Line Segments 5 Def: Collinear Points: A collinear set of points is a set of points all of which lie on the same straight line. Points A, B, C and D are collinear. Points A, E and C are not collinear.

Def: Line Segment: : 

Geometry Leeson: Undefined Terms, Lines, Line Segments 6 Def: Line Segment: A line segment is the set of two points on a line called endpoints, and all points on the line between the endpoints.

Measure of Line Segments: : 

Geometry Leeson: Undefined Terms, Lines, Line Segments 7 Measure of Line Segments: The measure of a line segment is the length of the line segment. Ans. BC=36 cm

Def: Congruent Line Segments: : 

Geometry Leeson: Undefined Terms, Lines, Line Segments 8 Def: Congruent Line Segments: Congruent line segments are segments that are equal in measure. Then AB = CD Ans. CD = 29, AB = 29

Def: Midpoint : 

Geometry Leeson: Undefined Terms, Lines, Line Segments 9 Def: Midpoint The midpoint of a line segment divides the line segment into two congruent segments.

Def: Line Bisector : 

Geometry Leeson: Undefined Terms, Lines, Line Segments 10 Def: Line Bisector The bisector of a line segment is a line that intersects the line segment at its midpoint. X

Addition and Subtraction of Line Segments: : 

Geometry Leeson: Undefined Terms, Lines, Line Segments 11 Addition and Subtraction of Line Segments: If several line segments belong to the same line, we can write addition and subtraction expressions using the names of these segments.

Simple 2-Column Proof : 

Geometry Leeson: Undefined Terms, Lines, Line Segments 12 Simple 2-Column Proof Given Definition of Line Bisector Definition of Midpoint