Warm-Up

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Warm-Up

• 1. Draw a possible net for this figure
• 2. Draw an orthographic drawing for the figure
  below

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Section 1.2 Points, lines and planes

• SWBAT Understand and use the basic terms of
  geometry
• Swbat sketch the intersections of lines and planes

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• Geometry is a mathematical system built on
  accepted facts, basic terms, and definitions

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Term Definition Example Notation
Point No dimension, represented by a small dot A Usually notated with a capital letter
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Term Definition Example Notation
Line A straight path that extends in two opposite directions without end Option 1 Use two points on the line with a double arrowhead Option 2 Use a lowercase italicized letter
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Term Definition Example Notation
Line Segment Straight line connecting two endpoints (does not go on forever) Use the two endpoints with a straight line over top
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Term Definition Example Notation
Ray Consists of an initial point and all points on one side of that point Use the endpoint and one other point on the line. Then draw an arrow over top indicating the direction
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Term Definition Example Notation
Opposite Rays Two rays that share the same endpoint and form a line Name each ray separately Note they should share the same endpoint
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Term Definition Example Notation
Plane A flat surface which extends indefinitely in both directions Option 1 Use a capital letter Option 2 Use at least three points in the plane that do not lie on the same line
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Definition

• Collinear points points that lie on the same line

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Definition

• Coplanar points that lie on the same plane

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Example 1

• Use the picture to determine if the statements
  are true or false.
• F, H, and K are collinear
• F, H, and K are coplanar
• Point F lies on line l

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Example 2

• Use the picture to answer the questions below.
• Name a point that is coplanar with A, B, and C
• Name all of the points that are not coplanar with
  A, B, and C

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Example 3

• What are the names of the segments in the figure
  at the right?
• What are the names of the rays in the figure?
• Which of the rays in part B are opposite rays?

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Definition

• A postulate or axiom is an accepted statement of
  fact
• They are the building blocks of Geometry

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Example

• Each surface of the box at the right represents
  part of a plane. What is the intersection of
  plane AOR and plane BAC?

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Example

• What plane contains points E, H, and G?
• Draw a plane that contains points A, C, and G?