Download - 1-1: Point Lines and Planes
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1-1: Point Lines and Planes
Part 1
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Today’s Objective:
By the end of the class, I will be able to identify basic geometric vocabulary using words, symbols, and sketches.
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TERM DESCRIPTION SKETCH NAME IT
POINT
An exact location in space with
indefinite shape and size.
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TERM DESCRIPTION SKETCH NAME IT
LINE
An object with no thickness that
extends infinitely in TWO directions.
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TERM DESCRIPTION SKETCH NAME IT
LINESEGMENT
A “piece” of a line consisting of 2
endpoints and all points in between.
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TERM DESCRIPTION SKETCH NAME IT
RAY
A “piece” of a line consisting of 1
endpoint and all points in between.
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TERM DESCRIPTION SKETCH NAME IT
OPPOSITERAYS
Two rays sharing the same endpoint
and continuing infinitely in
opposite directions.
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TERM DESCRIPTION SKETCH NAME IT
PLANEA flat surface that extends infinitely in all directions.
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TERM DESCRIPTION SKETCH NAME IT
COLLINEARPoints that lie on
the same line.
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TERM DESCRIPTION SKETCH NAME IT
NON-COLLINEAR
Points that DO NOT lie on the same
line.
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TERM DESCRIPTION SKETCH NAME IT
COPLANARPoints that lie on the same plane.
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TERM DESCRIPTION SKETCH NAME IT
NON-COPLANAR
Points that DO NOT lie on the same
plane.
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• Using your straight edge (ruler), draw a line segment that is 10 centemeters long.
• Label one end point J, and the other endpoint L.
• Put a point, K, anywhere on JL.• Measure the distance from J to K, round
it to the nearest half centimeter. • Measure the distance from K to L, round
it to the nearest half centimeter.
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JK KL
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Segment Addition Segment Addition PostulatePostulate
Points A, B, and C are collinear.
AB + BC = AC
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Example 1Example 1If B is between A and C and AB = 4 and BC = 5, find AC.
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Example 2Example 2If AB = x, BC = x + 6, AC = 24,
find AB and BC.
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Example 3Example 3Find LM if L is between N and M,
NL = 6x – 5, LM = 2x + 3 and NM = 30.