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hba Group Title

My tutorial on plane geometry.

  • one year ago
  • one year ago

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  1. hba Group Title
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    \[\Huge{\color{gold}{\star \star \star}\color{red}{\text{Plane Geometry}}}\] \[ \underline {ANGLE}:An \ angle \ is \ formed \ by \ two \ lines \ or \ line \ segments \ intersecting \ at \ a \ point. \]\[The \ point \ of \ intersection \ is \ called \ vertex .Unit \ of \ Angle \ is \ taken \ as\ degrees.\]\[Angle \ is \ obtained \ by \ intersection \ of \ two \ lines \ AB \ and \ BC \ is \ denoted \ by \ < ABC. \]\[We \ can \ also \ write \ <B \ for <ABC.\]|dw:1357729031105:dw|

    • one year ago
  2. hba Group Title
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    \[TYPES \ OF \ ANGLES:\]|dw:1357729201753:dw|

    • one year ago
  3. hba Group Title
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    \[PROPERTIES \ RELATED \ TO \ LINES \ AND \ ANGLES:\] \[\underline {1}:The \ \sum \ of \ measure \ of \ the \ angles \ at \ a \ point \ on \ one \ straight \ line \ is \ 180^0\] |dw:1357729712082:dw|

    • one year ago
  4. hba Group Title
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    \[\underline {2}:Sum \ of \ all \ angles \ about \ a \ point \ is \ 360 ^0 \]|dw:1357729894167:dw|

    • one year ago
  5. hba Group Title
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    \[\underline{3}:Two \ lines \ l \ and \ m \ are \ perpendicular \ if \ they \ intersect \ at \ 90^0.We \ write \ this \ as \ l \ perp \ m \]|dw:1357730164742:dw|

    • one year ago
  6. hba Group Title
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    \[\underline{4}:Shortest \ distance \ \between \ two \ lines \ or \ a \ point \ and \ a \ line \ is \ always \ perpendicular \ distance.\]\[\underline{5}: If \ the \ \sum \ of \ two \ angles \ is \ 180^0 \ they \ are \ called \ supp \ angles.\]\[\underline{6}:If \ the \sum of \ two \ angles \ is \ 90^0 \ they \ are \ called \ comp \ angles.\]

    • one year ago
  7. hba Group Title
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    \[\underline{7}:If \ two \ lines \ intersect,opposite \ angles \ formed \ \ are \ called \ vertical \ \]\[angles \ and \ they \ are \ always \ equal. \] \[In \ figure \ : a=c \space and \ c=d\]|dw:1357730912103:dw|

    • one year ago
  8. hba Group Title
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    \[\Huge --- \text{END TO ANGLES}---\]

    • one year ago
  9. hba Group Title
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    \[\underline{TRIANGLE}:A \ closed \ figure \ with \ three \ angles \ and \ three \ straight \ sides\]\[is \ called \ a \ \triangle.\]

    • one year ago
  10. hba Group Title
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    \[PROPERTIES \ AND \ DEFINITIONS \ OF \ A \ TRIANGLE:\]\[\underline{1}:Sum \ of \ interior \ angles \ of \ a \ \triangle=180^0\]\[Also,Sum \ of \ exterior \ angles \ of \ the \ \triangle=360^0 \] |dw:1357731900719:dw|

    • one year ago
  11. hba Group Title
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    \[\underline{2}:Any \ exterior \ a ngle \ is \ always \ equal \ t o \ supplement\ of \ its \ adjacent \ interior \ \angle\]\[e.g \ \angle d=180- \angle c\]

    • one year ago
  12. hba Group Title
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    \[\underline{3}:Exterior \ angles \ is \ always \ equal \ t o \ the \ s um \ of \ opposite \ interior \ angl e.\]\[e.g.<d=<a+<b\]

    • one year ago
  13. hba Group Title
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    \[\underline{4}:Sum \ of \ the \ measures \ of \ any \ two \ sides \ is \ always \ greater \ than \ the \ third \ side \] \[e.g.AB+BC>AC \\ or \ \ AC+BC>AB \]

    • one year ago
  14. hba Group Title
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    \[\underline{5}:Side \ opposite \ t o \ greater \ angl e \ is \ larger \ i n \ measure \ than \ that \ of \ smaller \ angl e.\]\[e.g. if \ i n \ ABC \ a>b \ BC>AB \ as \ BC \ opposite \ t o \ angl e \ a\]

    • one year ago
  15. hba Group Title
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    6:Altitude of a triangle is the perpendicular disrance from a vertex to opposite side.It may be inside,outside or on the triangle. Lemme show you what i am trying to say to you.|dw:1357734242316:dw|

    • one year ago
  16. hba Group Title
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    \[\underline{7}:AREA \ OF \ \triangle:\]\[Area=\frac{ 1 }{ 2 } \times Base \times height (Altitude)\]

    • one year ago
  17. hba Group Title
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    8:Perimeter:Sum of the sides of the triangle is called perimeter.

    • one year ago
  18. hba Group Title
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    \[\underline{TYPES \ OF \ \ TRIANGLE:}\]There are three types of triangles: a)Equilateral b)Isosceles c)Scalene

    • one year ago
  19. hba Group Title
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    Yeah, In Equilateral,All sides are equal In Isoscles,Any two side and In Scalene ,No side equal to other

    • one year ago
  20. hba Group Title
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    \[\Huge --- \text{END TO TRIANGLES}---\]

    • one year ago
  21. hba Group Title
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    \[\huge\ \underline{ RECTANGLE} :\]It is the most important quadrilateral.if in parallelogram all angles equal to 90 then it becomes rectangle.The larger side of rectangle is called length and shorter side as width.Also diagonal of rectangle are of equal length .i.e.AB=CD and BC=AD.

    • one year ago
  22. hba Group Title
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    |dw:1357735551081:dw| So, \[\huge\ Area=L \times W\] \[\huge\ Perimeter=2(L+W) \]

    • one year ago
  23. hba Group Title
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    \[\Huge --- \text{END TO RECTANGLE}---\]

    • one year ago
  24. hba Group Title
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    \[\huge\ \underline{SQUARE} :\]It is a rectangle with four sides which are equal. i.e. AB=BC=CD=DA If one side is x \[Area=x *x=x^2 \] Area of square can also be found by using diagonal d. \[Area=\frac{ d^2 }{ 2 } \] \[Perimeter \ of \ \square = 4x\] \[Diagonal=\sqrt{2} \times x\]

    • one year ago
  25. hba Group Title
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    |dw:1357736723318:dw|

    • one year ago
  26. hba Group Title
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    \[\Huge --- \text{END TO SQUARE}---\]

    • one year ago
  27. hba Group Title
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    \[\huge\ \underline{CIRCLE} :\]The set of points in a plane at the same distance from a certain fixed point is called a circle Um,the fixed point is called the centre of the circle and the distance from a point on circle to centre is called Radius.|dw:1357737289537:dw|

    • one year ago
  28. hba Group Title
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    CHORD:Line segment obtain by joining any two points on the circle e.g. DE DIAMETER:If a chord passes through the centre of the circle is called diameter. See in the fig:BC is marked as diameter Tangent: The line which touches only one point of the circle is called tangent.In above figure line m is tangent.

    • one year ago
  29. hba Group Title
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    CENTRAL ANGLE: An angle formed by two diff radii at centre is called central angle.In the figure <AOB is central angle.

    • one year ago
  30. hba Group Title
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    CIRCUMFERENCE:Boundary of a circle is called circumference.

    • one year ago
  31. hba Group Title
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    \[\huge\ C= \pi . d\] \[(As \ d=2r)\] \[\huge\ C=2 \pi r\]

    • one year ago
  32. hba Group Title
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    AREA OF CIRCLE: Area of circle is given by the formula. \[\huge\ A= \pi r^2\]

    • one year ago
  33. hba Group Title
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    \[\Huge{\color{red}{{THE Da \space END{\ddot{\smile}}}}}\]

    • one year ago
  34. phi Group Title
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    For definitions 5 and 6 under Angles you should spell out supplementary and complementary.

    • one year ago
  35. hba Group Title
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    Sorry dude.

    • one year ago
  36. Koikkara Group Title
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    hey, Really APPRECIATE you for the method of sharing Ideas...EXCELLENT JOB....HBA!!

    • one year ago
  37. hba Group Title
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    Thanks dude.

    • one year ago
  38. Koikkara Group Title
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    >>!!

    • one year ago
  39. hba Group Title
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    Thanks a lot :)

    • one year ago
  40. mikaela19900630 Group Title
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    you did an amazing job hba

    • one year ago
  41. hba Group Title
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    Thank you :)

    • one year ago
  42. ashlynn143 Group Title
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    that was very informative

    • one year ago
  43. hba Group Title
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    Thanks :)

    • one year ago
  44. joyflow Group Title
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    this will help a lot of people who are starting geometry

    • one year ago
  45. joyflow Group Title
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    good job by the way

    • one year ago
  46. hba Group Title
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    Well,I am gonna include the Heroen's formula in the next tutorial :) Because it is gonna be a lil huge :) Thanks a lot anyways :)

    • one year ago
  47. farukk Group Title
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    very useful keep it up.

    • one year ago
  48. hba Group Title
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    Thanks :)

    • one year ago
  49. Reaper534 Group Title
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    guys i toght him that jk :D

    • one year ago
  50. hba Group Title
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    Haha lol :P

    • one year ago
  51. Reaper534 Group Title
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    how long did tht take

    • one year ago
  52. hba Group Title
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    I don't know :P

    • one year ago
  53. farukk Group Title
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    @hba welcome:) or should i say my new teacher for mathematics?

    • one year ago
  54. Reaper534 Group Title
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    i say 40min tops

    • one year ago
  55. hba Group Title
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    Yeah take it as 40 min :P @farukk Teacher lol,Ham tau aap kai bhai hai :D

    • one year ago
  56. farukk Group Title
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    hahaha tu kia hoa math bato se hi seekhi jati ha :p

    • one year ago
  57. Reaper534 Group Title
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    ?????

    • one year ago
  58. hba Group Title
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    @farukk Msg me if you need help .

    • one year ago
  59. amoodarya Group Title
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    tnx Please comment on my activity

    • one year ago
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  60. farukk Group Title
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    yeah it's informative:)

    • one year ago
  61. UnkleRhaukus Group Title
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    great work @hba

    • one year ago
  62. hba Group Title
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    Thank you very much. I am really sorry for not putting the heroen's formula though.

    • one year ago
  63. syhna Group Title
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    nice work :D

    • one year ago
  64. hba Group Title
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    Thanks :)

    • one year ago
  65. Reaper534 Group Title
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    yeah i toght him well XD

    • one year ago
  66. syhna Group Title
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    reaper534_ nice joke :D aha peace XD

    • one year ago
  67. hba Group Title
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    Lol learn to spell first then teach others :P

    • one year ago
  68. Reaper534 Group Title
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    hahahahah :D it ain english class

    • one year ago
  69. Reaper534 Group Title
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    @hba bump it

    • one year ago
  70. abb0t Group Title
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    How did you know I don't know Geometry o.0? n e wayz, bookmarked. great review!

    • one year ago
  71. hba Group Title
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    Thanks :P

    • one year ago
  72. hba Group Title
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    I just shared it with you :)

    • one year ago
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