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Published byRachel Duncan Modified over 11 years ago
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Warm-ups P no calculators These problems are due in 3 min.
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Date Sec 1-1 Concept: Identify Points, Lines and Planes Objectives: Given basic concepts in Geometry, name and sketch geometric figures
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3-Undefined Terms in Geometry
Point Line Plane
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A Point It has no dimension. It is usually represented by a small dot
Undefined. A Label with Capital Letters
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Line Extends in one dimension. Usually represented by a straight line with arrows on the ends. Undefined A B l Labels: AB BA l
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Plane: undefined Extends in two dimensions. Usually represented by a shape that looks like a table top. A B C M Plane M or plane ABC
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Key Terms – you probably already know some of these…
Coplanar and Noncoplanar Collinear and Noncollinear Ray Segment Opposite ray Intersect
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Collinear: points that lie on the same line P I G S
Points P, I, G, and S are collinear
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Non-Collinear: Points that do not lie on the same line O G D
Points D, O and G are noncollinear
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Coplanar: Points that lie in the same plane G M A S H T
Points M, A, T, H, S are coplanar
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Non -Coplanar: Points that do not lie in the same plane G A M S H T
Points G, S and H are non- coplanar
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Line Segment: Part of a line that consists of 2 endpoints A B AB or BA
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Ray: Part of a line that consists of a point called the initial point and all points on the line that extend in one direction. A B A is the initial point AB
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Opposite Rays: If C is between A and B, then CA and CB are opposite rays B C A
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Intersect: To have one or more points in common
Intersection: The set of points that two or more geometric figures have in common
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Example 1: L C N M P O 1. Name 3 coplanar points
2. Name 3 collinear points 3. Name 3 non-collinear points 4. Name a line segment in two different ways 5. Name a ray
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Example 1: Cont. L C N M P O 6. Name a line in 2 ways 7. Name a point
8. Name the plane in two ways 9. What is the intersection of LO and plane C
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Example 2: Sketch the figure described
A. A line and a plane that do not intersect
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B. 2 planes that do not intersect and a line that intersects each plane in 1 point
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Example 3: Determine if the point lies on the line
A. Y = x-4 A(5,1) 1 = 5-4 1=1 YES, it lies on the line B. Y = 2x + 3 A(7, 16) 16 = 2(7) + 3 16 ≠ 17 NO, It doesn’t lie on the line
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Example 4: Graph the inequality on the number line
Example 4: Graph the inequality on the number line. Tell whether the graph is a segment, a ray or rays, a point or a line X>2 or x<5 2 5 Line
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Example 5: What kind of Geometric Intersection does the photograph suggest?
The intersection of 2 lines The intersection of a line and a plane
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Today’s Work: In Class: Homework:
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