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  • 1. جامعة حلوان قسم تكنولوجيا التربية كلية التربية اعداد:عبير الليثى جميل اشراف:د/ هيام سمير النهاية التالى
  • 2.
    • Relation between two straight lines.
    • Polygons
    Gometry النهاية البداية التالى السابق
  • 3.
    • Has neither a starting point nor ending point.
    • We cannot measure its length
    The straight line النهاية البداية التالى السابق
  • 4.
    • Has a starting point but not has ending point.
    • We cannot measure its lenght
    The ray النهاية البداية التالى السابق
  • 5.
    • Has a starting point and ending point .
    • We can measure its lenght
    The line segment النهاية البداية التالى السابق 5cm 8cm
  • 6.
    • The two straight line AB&CD have only one common point M.
    • So they are called (intersecting lines)
    Two intersecting straight line النهاية البداية التالى السابق A M B C D
  • 7.
    • AB and CD form four (acute-obtuse) angles.
    • They are < AMC, <CMB , < BMD ,< DMA.
    • The point is called (intersection point )
    Two intersection lines النهاية البداية التالى السابق A M B C D
  • 8.
    • AB and CD are two intersection straight lines.
    • They form four right angles at their intersection point M
    Two perpendicular straight lines النهاية البداية التالى السابق M A B C D
  • 9.
    • They are called perpendicular or orthogonal straight lines
    • Is denoted by
    • So AB CD , CD AB
    Two perpendicular straight lines النهاية البداية التالى السابق M A B C D
  • 10.
    • AB and CD have not a common point (intersection point ).
    • Then AB and CD are called (parallel lines).
    Two parallel straight lines النهاية البداية التالى السابق B A C D
  • 11.
    • This is denoted by the symbol ( //) .
    • We write AB // CD or CD // AB
    Two parallel straight lines النهاية البداية التالى السابق B A C D
  • 12.
    • H Parallel lines .
    • 5 Intersection lines .
    • F Perpendicular lines.
    • X Intersection lines .
    • M Parallel lines .
    • N Parallel lines .
    • E Perpendicular lines, Parallel lines
    • 4 Perpendicular lines.
    • T perpendicular lines.
    • L Perpendicular lines.
    Some exaples النهاية البداية التالى السابق
  • 13.
    • Is a closed shapes formed from three sides or more (line segment )
    • Like (triangle ,pentagon ,Quadrilateral, Hexagon, octagon…etc )
    The polygons النهاية البداية التالى السابق
  • 14. Polygon النهاية البداية التالى السابق Square Rhombus Pentagon
  • 15.
    • It has( 3 )sides .
    • It has( 3 )angles .
    • It has( 3 )vertices .
    • Like (Right angled- triangle, acute angled -triangle, obtuse angled- triangle).
    The triangle النهاية البداية التالى السابق
  • 16.
    • It has( 4 )sides .
    • It has( 4 )angles .
    • It has ( 4) vertices.
    • Like :( square, rectangle , trapezium, parallelogram, Rhombus).
    Quadrilateral النهاية البداية التالى السابق Square Rhombus
  • 17.
    • The number of sides of any polygon is equal to the number of its vertices and equal to the number of its angles .
    • Number of angles =Number of vertices =Number of sides .
    النهاية البداية التالى السابق Rule
  • 18.
    • Is a quadrilateral in which :
    • Only two opposite sides are parallel but not equal in length.
    • In each of two opposite figure:
    • LM // NO
    l N O O Trapezium النهاية البداية التالى السابق M l M N
  • 19.
    • Is quadrilateral in which:
    • Each two opposite sides are equal in length and parallel.
    • AB//CD and AD//BC
    • AB=CD and AD=BC
    • <A=<C and <B=<D
    Parallelogram النهاية البداية التالى السابق
  • 20.
    • Is aquadrilateral in which :
    • Its two diagonal bisect each other .
    • And not equal in length
    • EM =MG ,FM = MH .
    • GE = FH , FH = GE
    Parallelogram النهاية البداية التالى السابق M G E H F
  • 21.
    • Is a quadrilateral in which:
    • Each two opposite side are equal in length and parallel .
    • XY // LZ , ZY // LX .
    • XY = LZ , YZ = LX .
    Rectangle النهاية البداية التالى السابق X Z Y L
  • 22.
    • Its angles are equal in measure .
    • Each of them are right (90) .
    • m(<X ) = m(<Y)= m( <Z) = m (<L)=90
    Rectangle النهاية البداية التالى السابق X Z Y L
  • 23.
    • Is a quadrilateral in which :
    • Each two opposite sides
    • are parallel.
    • All sides are equal in length.
    • SU // TR , ST // UR
    Rhombus النهاية البداية التالى السابق S R T U
  • 24.
    • Is a quadrilateral in which:
    • Its sides are equal in length
    • AB=BC=CD=DA.
    • Each two opposite sides are Parallel
    • AB//CD , BC //AD
    Square النهاية البداية التالى السابق A B C D
  • 25.
    • According to its side length
    • 1) Isosceles triangle .
    • 2)Equilateral triangle .
    • 3) Scalene triangle .
    • According to its measures of angles:
    • 1)Right angled_traingle.
    • 2)Acute angled_ triangle.
    • 3)Obtuse angled_ triangle.
    Types of triangle النهاية البداية التالى السابق
  • 26.
    • Has two sides equal in length .
    • ( XY = XZ )
    The Three sides equal in length . ( XY = XZ = ZY ) Z Isosceles triangle Scalene triangle النهاية البداية التالى السابق X Y X Y Z
  • 27.
    • Has three sides equal in length.
    • ( XY =XZ = ZY)
    • Has three angles equal in measure.
    • m(<X) = m(<y) = m(<Z)
    Equilateral triangle النهاية البداية التالى السابق X Y Z
  • 28.
    • Has one right angle and two acute angles .
    • m(<X)=90
    Has three acute angle Acute angle triangle Right angled_triangle البداية السابق