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  • 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. February 08, 2013 Best name: parallelogram Properties: 1, 2Properties to consider1) 4 sides2) pairs of parallel sides3) congruent sides4) right angles
  • 12. February 08, 2013 Best name: rectangle Properties: 1, 2, 4Properties to consider1) 4 sides2) pairs of parallel sides3) congruent sides4) right angles
  • 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. February 08, 2013 Best name: Rhombus Properties: 1,2,3Properties to consider1) 4 sides2) pairs of parallel sides3) congruent sides4) right angles
  • 15. February 08, 2013 Best name: Quadrilateral Properties: 1Properties to consider1) 4 sides2) pairs of parallel sides3) congruent sides4) right angles
  • 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. February 08, 2013Best name: acute angleProperties: smaller than 90º
  • 18. February 08, 2013Best name: intersecting line segmentsProperties:cross, but not at a right angle