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5 th Grade Geometry Lines & Angles. Lauri Hagie IDT 503 Final Project. Lines. Lines have arrows on each end. Lines do not end; they go on and on forever in both directions. Line Segments. Line segments may also be called segments. Line segments are part of a line.
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5th Grade GeometryLines & Angles Lauri Hagie IDT 503 Final Project
Lines • Lines have arrows on each end. • Lines do not end; they go on and on forever in both directions.
Line Segments • Line segments may also be called segments. • Line segments are part of a line. • Line segments do not have arrows.
Rays • Rays begin with a point at one end. • Rays go on and on forever in only one direction. • Rays have an arrow on one end.
Horizontal • Lines, segments, and rays may be drawn horizontally. • Horizontal means level with the horizon. • The horizon is the line in the distance where the land and the sky meet. Horizontal Line Horizontal Segment Horizontal Rays
Vertical Vertical Line • Lines, segments, and rays may be drawn vertically. • Vertical means straight up and down. Vertical Segment Vertical Rays
Oblique Oblique Line Oblique Segment • Lines, segments, and rays may be oblique. • Oblique means slanted. Oblique Rays
Parallel Parallel, Oblique Lines • Lines, segments, and rays may be parallel. • Parallel lines go in the same direction and will never cross over each other. • Parallel lines can be horizontal, vertical or oblique. Parallel, Horizontal Segments Parallel, Vertical Rays
Intersecting Intersecting Lines • Lines, segments, and rays may cross over each other. • We call this intersecting. Intersecting Segments Intersecting Rays
Perpendicular Perpendicular Lines • Lines, segments, and rays may be perpendicular. • When lines intersect and form square corners, we call them perpendicular. Perpendicular Segments Perpendicular Rays
Angles • Angles form when lines, segments, or rays intersect. • There are 3 types of angles: • Acute • Right • Obtuse
Right Angles • Right angles are 90 • They form square corners.
Acute Angles • Acute angles are less than 90 • “A cute” little angle.
Obtuse Angles • Obtuse angles are greater than 90
Quiz Time! Name this figure: Line Segment Ray
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Quiz Time! Name this figure: Horizontal Vertical Oblique
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Quiz Time! Name this figure: Parallel Perpendicular
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Quiz Time! Name this figure: Acute Right Obtuse
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The End You are now a 5th grade expert in geometry! Hake, S., & Saxon, J. (2001) Math 65: an incremental development, 2nd edition. Norman, OK: Saxon Publishers, Inc.