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class with june class with june.pptx
- 1. Hello June!!! It's Timeto Learn Geometry!!!
- 3. Geometry Geometry consists of: Points Lines and Types Planes and Types Solids and Types Measuring Instruments
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- 5. Point • Has nodirection • Usually represented by a small dot A The above is called point A. Note the point is represented with a capital letter.
- 6. Lines Horizontal Line Vertical Line Slanting Line Curved Line
- 7. Basics of Geometry • • Extendin two direction Represented with straight line with two arrowheads to indicate that the line extends without end in two directions. Line B l A This is Line l, (using the lower case script letter) or symbolically we call it A B NOTICE: The arrowheads are in both directions on the symbol AB
- 8. Horizontal Line -Pencil Vertical Line - Candle
- 9. Slant Line -Ladder Curved Line - Cord
- 10. Planes Circle Triangle Square Rectangle
- 11. Basics of Geometry Plane •Extend in four direction . • Represented by a slanted 4 sided figure, but you must envision it extends without end, even though the representation has edges. A B C M This is Plane M or plane ABC (be sure to only use three of the points when naming a plane)
- 12. Circle - Wheel Triangle– Traffic Signal Board
- 13. Square – ChessBoard Rectangle - Frame
- 14. Solids Cube Cone Cylinder Pyramid Sphere Cuboid
- 15. Cube – Rubik'sCube Cone – Road Closed Board
- 16. Measuring Tools Ruler Compass Protractor Divider Set Squares
- 17. Compass Ruler Learn moreabout measuring tools
- 18. Sphere - Ball Cylinder- Battery
- 19. Basics of Geometry Ray Symbolizedby A B The initial point is always the first letter in naming a ray. Notice the difference in symbols from both a line and segment. A B A is called the initial point Ray AB extends in one direction without end. Let’s look at a ray:
- 20. Ray A ray extendsin one direction and has one end point.
- 21. Basics of Geometry Notall symbols are created equal! Symbol alert! AB is the same as BA AB BA is the same as BUT… A B A B
- 22. Basics of Geometry ABis not the same as BA Symbol alert!! A B AB A B BA Initial point 1st The ray is different! Notice that the initial point is listed first in the symbol. Also note that the symbolic ray always has the arrowhead on the right regardless of the direction of the ray.
- 23. Basics of Geometry OppositeRays If C is between A and B, A C B then CA and CB are opposite rays. C is the common initial point for the rays!
- 24. Basics Geome Rays are importantbecause they help us define something very important in geometry…Angles! An angle consists of two different rays that have the same initial point. The rays are sides of the angles. The initial point is called the vertex. Angles Notation: We denote an angle with three points and symbol. The middle point is always the vertex. We can also name the angle with just the vertex point. This angle can be denoted as: BAC,CAB,or A vertex sides A B C
- 25. Basics of Geometry ClassifyingAngles Angles are classified as acute, right, obtuse, and straight, according to their measures. Angles have measures greater than 0° and less or equal to 180°. A Acute angle 0°< m A < 90° A Right angle m A = 90° A Obtuse angle 90°< m A < 180° A Straight angle m A = 180°
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- 27. You will learnto classify angles as acute, obtuse, right, or straight.
- 28. What is anangle? Two rays that share the same endpoint form an angle. The point where the rays intersect is called the vertex of the angle. The two rays are called the sides of the angle.
- 29. Here are someexamples of angles.
- 30. We can identifyan angle by using a point on each ray and the vertex. The angle below may be identified as angle ABC or as angle CBA; you may also see this written as ABC or as CBA. The vertex point is always in the middle.
- 31. Angle Measurements We measurethe size of an angle using degrees. Here are some examples of angles and their degree measurements.
- 32. Acute Angles An acuteangle is an angle measuring between 0 and 90 degrees. The following angles are all acute angles.
- 33. Obtuse Angles An obtuseangle is an angle measuring between 90 and 180 degrees. The following angles are all obtuse.
- 34. Right Angles A rightangle is an angle measuring 90 degrees. The following angles are both right angles.
- 35. Straight Angle A straightangle is 180 degrees.
- 36. GAME TIME! The objectof the game is to be the first to raise your hand and correctly name what type of angle you see. The correct answer will be on the following slide!! Good luck!
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- 46. Greek prefix mono- 1 di-2 tri- 3 tetra- 4 penta- 5 hexa- 6 hepta- 7 octa- 8 nona- 9 deca- 10
- 47. Triangle (Latin wordtres)
- 48. Quadrilateral (quad –from latin word quadri)
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- 56. So which polygonis our star?
- 57. Quadrilateral ……………………… Itis a figure which has four sides Parallelogram …………………. It has four side and opposite sides are parallel. Parallelogram is a quadrilateral with opposite sides parallel.
- 58. Rectangle It has foursides Opposite sides would be parallel and equal All angles should be of 90o Rectangle is basically a parallelogram with all angles of 90o All rectangles are quadrilateral but all quadrilateral are not rectangle
- 59. Square Four equal sides Allangles should be of 90o is a square a rectangle ? Yes/no? Is a square a quadrilateral? (yes/no) Is a rectangle a square? Yes/no
- 60. Quadrilaterals But only thosequadrilateral which has opposite sides parallel are called And only those parallelogram are called rectangle in which angle is 90 And only those rectangles are square in which all side are
- 61. A square isalso a Rectangle Parallelogram Quadrilateral
- 62. Perimeter It is thesum of the lengths of all sides
- 63. If the lengthof a side of square is 4 meters. what would be its perimeter?
- 64. If I havea 20 meter rope. And I make a square out of this rope. So what would be the length of the of square?
- 65. I make asquare with the help of a rope. The length of each side is 6 meters. what was the length of the rope?