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Basics of Geometry 1.4 Intersections 1.5 Segments

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Review The intersection of two lines is a ___________. The intersection of two planes is a ________. Any three points can define a ___________. Any two points can define a ________. LINE POINT PLANE

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Review Name 4 coplanar points. Are A, D, and E coplanar? Are A, D, G, and F coplanar? Are E and F collinear? Give plane ADC another name. A B C D E F G H

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Intersections of Lines Name the intersection of and ABC D E F

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Intersections of Planes Name the intersection of planes S and R. Name the intersection of planes R and T. Name the intersection of planes T and S. S R T k l

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Sketch It! Sketch and label a plane. Draw and label a line that is in the plane. Draw and label a line that does not intersect the plane. Draw and label a line that intersects the plane at one point. P j l k

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Sketch It! Sketch and label two planes that intersect. S R k

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Assignment : First, we will discuss page 17. Then, quietly work on your own work. I will help if you need it. p. 11: 8, 14, 24, 36, 38 p. 17: 16 – 32 even

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Segments A segment is a part of a line. A segment has a length. To find the length of a segment (or the distance from beginning to end), subtract the coordinates of the endpoints and take the absolute value.

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Segments Continued The notation for distance is simply the endpoints of the segment. Thus, the formula for distance on a line segment is:

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Find AB A B

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Segment Addition Postulate If B is between A and C, then AC = AB + BC If AC = AB + BC, then B is between A and C A B C

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Find EF D E F 16 10

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Find AB C A B 29 15

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Find DF D E F 12 7

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Congruency Shapes that have the same dimensions are called congruent. Two segments who have the same length are called congruent. The symbol for congruency is

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Congruent Segments Congruent segments are often marked with a short tick mark. A B C D

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Congruent Segments Sometimes multiple tick marks will be used. R S T H

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Assignment Pages 31 – 33 1 – 28

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