1.3 & 1.4 Points, Lines, Segments, & Rays

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Presentation transcript:

1.3 & 1.4 Points, Lines, Segments, & Rays Objective: To Understand Basic Terms/Postulates of Geometry

Point A point refers to location It has no size A point in represented by a dot and is named by capital letters

Line A series of points that extends indefinitely A line is named by a lower case script letter or any 2 points on the line

Collinear Points Points that lie on the same line

Example 1 a) Are points E, F, and C collinear? If so, which line are they on? b) Are points E, F, and D collinear? If so, which line are they on? c) Name line l in 3 other ways.

Line Segment The part of a line consisting of two endpoints and all points between them A line segment is named by its 2 endpoints

Ray The part of a line consisting of one endpoint and all the points of the line on one side of the endpoint A ray is named by the endpoint and one other point on the ray; must start with the end point

Identify the type of line: line, ray, or line segment. Your Turn! Identify the type of line: line, ray, or line segment. Line Segment

Identify the type of line: line, ray, or line segment. Your Turn! Identify the type of line: line, ray, or line segment. Line

Identify the type of line: line, ray, or line segment. Your Turn! Identify the type of line: line, ray, or line segment. Ray

Identify the type of line: line, ray, or line segment. Your Turn! Identify the type of line: line, ray, or line segment. Line

Identify the type of line: line, ray, or line segment. Your Turn! Identify the type of line: line, ray, or line segment. Ray

Identify the type of line: line, ray, or line segment. Your Turn! Identify the type of line: line, ray, or line segment. Line Segment

Opposite Rays Two collinear rays with the same endpoint; they always form a line

Example 2 Name ALL line segments.

Name the rays. Are ray LP and ray PL opposite rays?

Read: “Line JK is parallel to line LM” Parallel Lines Parallel Lines- lines that never cross or become further apart from each other. J K L M Read: “Line JK is parallel to line LM” ║ JK LM

Intersecting Lines- lines that cross each other. Q P OP intersects QR

Read: “Line ST is perpendicular to line UV” Perpendicular Lines Perpendicular Lines- lines that cross or meet each other to form square corners (90º angle). U 90º/Right Angle S T Read: “Line ST is perpendicular to line UV” V ST ┴ UV

Your Turn! Identify if the lines are parallel, perpendicular, or intersecting (not at a perpendicular angle). Parallel

Your Turn! Identify if the lines are parallel, perpendicular, or intersecting (not at a perpendicular angle). Parallel

Your Turn! Intersecting Identify if the lines are parallel, perpendicular, or intersecting (not at a perpendicular angle). Intersecting

Your Turn! Perpendicular Identify if the lines are parallel, perpendicular, or intersecting (not at a perpendicular angle). Perpendicular

Your Turn! Identify if the lines are parallel, perpendicular, or intersecting (not at a perpendicular angle). Parallel

Your Turn! Intersecting Identify if the lines are parallel, perpendicular, or intersecting (not at a perpendicular angle). Intersecting

Your Turn! Perpendicular Identify if the lines are parallel, perpendicular, or intersecting (not at a perpendicular angle). Perpendicular

What is a Postulate? A postulate or axiom is an accepted statement of fact

Postulate 1-1 Through any 2 points there is exactly 1 line

Postulate 1-2 If 2 lines intersect, then they intersect in exactly 1 point

Think about streets in Lyndhurst… Name of street that is a line. Name a street that is a line segment. Name a street that is a ray.