Topic 9 vocab

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Topic 9 vocab

  1. 1. February 08, 2013Topic 9: Lines, Shapes and Angles (2D Geometry)Important Terms:Point: A definite location in space.Line: A series of points that goes forever in both directions.Plane: an infinitely large 2 dimensional (flat) surface.Points and lines "rest" on a plane. A solid shape, like acube has multiple planes. Each face of the cube is its ownplane.
  2. 2. February 08, 2013Topic 9: Lines, Shapes and Angles (2D Geometry)Important Terms: Digging Deeper with LinesLine Segment: Part of a line, has endpointsRay: Part of a line that has one endpoint, other endcontinues forever in one direction.Angle: 2 rays or line segments that meet at a commonpoint.
  3. 3. February 08, 2013Topic 9: Lines, Shapes and Angles (2D Geometry)Important Terms: Digging Deeper with LinesParallel Lines: 2 lines that never intersectIntersecting Lines: 2 lines that cross pathsPerpendicular lines: 2 lines that intersect at a right angle (90º) Square Symbol is frequently used to show a right angleNote: The terms parallel, intersecting and perpendicular canbe used with rays and line segments.
  4. 4. February 08, 2013Topic 9: Lines, Shapes and Angles (2D Geometry)Important Terms: Digging Deeper with AnglesAcute Angle: An angle that measures less than 90º(0º < Acute Angle < 90º) acute is like "cute"Right Angle: An angle that measures exactly 90º(Think corner of a square)Obtuse Angle: An angle that is greater than 90º(90º < Obtuse Angle < 180º)obtuse is like obese
  5. 5. February 08, 2013Topic 9: Lines, Shapes and Angles (2D Geometry)Important Terms: Creating Shapes with Angles and Line SegmentsPolygon: A closed figure (shape) that only has line segments forsides. Polygons Not PolygonsTriangle: A 3-sided polygonQuadrilateral: a 4-sided polygonPentagon: a 5-sided polygonHexagon: a 6-sided polygonOctagon: an 8-sided polygon
  6. 6. February 08, 2013Topic 9: Lines, Shapes and Angles (2D Geometry)Focus on Triangles:Triangles are named by their angle types and side lengths Angle Naming Side Naming
  7. 7. February 08, 2013The best possible names for triangles use both angle andside names. Exception is equliateralacute scalene: all acute angles, no sides congruentacute isosceles: all acute angles, 2 sides congruentequilateral: all acute angles, all sides congruentright scalene: one right angle, no sides congruentright isosceles: one right angle, 2 sides congruentobtuse scalene: one obtuse angle, no sides congruentobtuse isosceles: one obtuse angle, 2 sides congruent
  8. 8. February 08, 2013Topic 9: Lines, Shapes and Angles (2D Geometry)Focus on Triangles:Triangles are named by their angle types and side lengthsThe best way to name a triangle is with both the angle name and sidename: Acute Isosceles Obtuse Scalene Right Isoceles all acute angles 1 obtuse angle 1 right angle 2 equal sides 0 equal sides 2 equal sidesSpecial Case!An Equilateral Triangle is a triangle with 3 equal sides. You dont need tocall it an "Acute Equliateral", its just an Equilateral.
  9. 9. February 08, 2013Topic 9: Lines, Shapes and Angles (2D Geometry)Focus on QuadrilateralsQuadrilaterals are 4-sided polygonsQuadrilaterals are classified or named by how their sides relate to each other.We need to use the most specific name. "Congruent" = same size or same length
  10. 10. February 08, 2013Topic 9: Lines, Shapes and Angles (2D Geometry)Focus on QuadrilateralsThe sequence below might help to show why when we name a quadrilateral we need touse the most specific name. yes yes yes yes YES! .... and the most specific name
  11. 11. February 08, 2013 Best name: parallelogram Properties: 1, 2Properties to consider1) 4 sides2) pairs of parallel sides3) congruent sides4) right angles
  12. 12. February 08, 2013 Best name: rectangle Properties: 1, 2, 4Properties to consider1) 4 sides2) pairs of parallel sides3) congruent sides4) right angles
  13. 13. February 08, 2013 Best name: square Properties: 1,2,3, 4Properties to consider1) 4 sides2) pairs of parallel sides3) congruent sides4) right angles
  14. 14. February 08, 2013 Best name: Rhombus Properties: 1,2,3Properties to consider1) 4 sides2) pairs of parallel sides3) congruent sides4) right angles
  15. 15. February 08, 2013 Best name: Quadrilateral Properties: 1Properties to consider1) 4 sides2) pairs of parallel sides3) congruent sides4) right angles
  16. 16. February 08, 2013Best name: right scalene triangleProperties:Has a right angleNo sides are congruentBest name: right isosceles triangleProperties:Has a right angle2 sides are congruent
  17. 17. February 08, 2013Best name: acute angleProperties: smaller than 90º
  18. 18. February 08, 2013Best name: intersecting line segmentsProperties:cross, but not at a right angle

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