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Do now The distance around a polygon is called its ___________, and the distance around a circle is called its __________. The number of square units covered by a figure is called its _____________.
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Section 1.1: identify points, lines, and planes
SWBAT: use the defined notion of a point, line, and distance along a line to develop a definition for line segments. Geometry
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Undefined terms Undefined Terms do not have a formal definition in geometry Point: Has no dimension. Represented by a dot. Line: Has one dimension. Represented by a line with two arrowheads, but it extends without end. Through any two points there is one distinct line. You can use any two points on a line to name it. Plane: Has two dimensions. Represented by a shape that looks like a floor, but it extends without end. Through any three points not on the same line, there is exactly one plane. You can use any three points on a plane to name it (as long as they are not on the same line).
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Examples of undefined terms
𝑙 M Line 𝑙, or Line AB, or Line BA Point A Point B Point C Plane M, or Plane ABC
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Types of points Collinear Points: Lie on the same line
Coplanar Points: Lie in the same plane
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Example 1 Give two other names for 𝑉𝑊 and for plane P.
Name three points that are collinear. Name four points that are coplanar.
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Defined terms Defined Terms can be described using known words such as point or line. Segment (AKA Line Segment): Consist of two endpoints and all points on the line between those two points. Ray: Consists of one endpoint and all the points in one direction on its line. Opposite Rays: Rays beginning at the same endpoint, but going in opposite directions on the line.
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Examples of defined terms
Use line 𝐴𝐵 as beginning term. Endpoints Ray AB or 𝐴𝐵 Opposite Rays: 𝐸𝐺 𝐸𝐷 Segment AB, or 𝐴𝐵 , or 𝐵𝐴
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Example 2 Give another name for 𝐴𝐵 .
Name all rays with endpoint D. Which of these rays are opposite rays?
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intersections Two or more geometric figures intersect if they have one or more points in common. The intersection of a figure is the set of points they have in common. q
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Example 3 Sketch a plane and a line that is in the plane.
Sketch a plane and a line that does not intersect the plane. Sketch a plane and a line that intersects the plane at a point.
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Example 4 Sketch two different lines that intersect a plane at the same point.
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homework Textbook pages 5-7 #’s 3-6, 8, 9, 12, 15, 17, 18, 23, 26
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