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hba
 3 years ago
My tutorial on plane geometry.
hba
 3 years ago
My tutorial on plane geometry.

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hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\Huge{\color{gold}{\star \star \star}\color{red}{\text{Plane Geometry}}}\] \[ \underline {ANGLE}:An \ angle \ is \ formed \ by \ two \ lines \ or \ line \ segments \ intersecting \ at \ a \ point. \]\[The \ point \ of \ intersection \ is \ called \ vertex .Unit \ of \ Angle \ is \ taken \ as\ degrees.\]\[Angle \ is \ obtained \ by \ intersection \ of \ two \ lines \ AB \ and \ BC \ is \ denoted \ by \ < ABC. \]\[We \ can \ also \ write \ <B \ for <ABC.\]dw:1357729031105:dw

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[TYPES \ OF \ ANGLES:\]dw:1357729201753:dw

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[PROPERTIES \ RELATED \ TO \ LINES \ AND \ ANGLES:\] \[\underline {1}:The \ \sum \ of \ measure \ of \ the \ angles \ at \ a \ point \ on \ one \ straight \ line \ is \ 180^0\] dw:1357729712082:dw

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\underline {2}:Sum \ of \ all \ angles \ about \ a \ point \ is \ 360 ^0 \]dw:1357729894167:dw

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\underline{3}:Two \ lines \ l \ and \ m \ are \ perpendicular \ if \ they \ intersect \ at \ 90^0.We \ write \ this \ as \ l \ perp \ m \]dw:1357730164742:dw

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\underline{4}:Shortest \ distance \ \between \ two \ lines \ or \ a \ point \ and \ a \ line \ is \ always \ perpendicular \ distance.\]\[\underline{5}: If \ the \ \sum \ of \ two \ angles \ is \ 180^0 \ they \ are \ called \ supp \ angles.\]\[\underline{6}:If \ the \sum of \ two \ angles \ is \ 90^0 \ they \ are \ called \ comp \ angles.\]

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\underline{7}:If \ two \ lines \ intersect,opposite \ angles \ formed \ \ are \ called \ vertical \ \]\[angles \ and \ they \ are \ always \ equal. \] \[In \ figure \ : a=c \space and \ c=d\]dw:1357730912103:dw

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\Huge  \text{END TO ANGLES}\]

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\underline{TRIANGLE}:A \ closed \ figure \ with \ three \ angles \ and \ three \ straight \ sides\]\[is \ called \ a \ \triangle.\]

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[PROPERTIES \ AND \ DEFINITIONS \ OF \ A \ TRIANGLE:\]\[\underline{1}:Sum \ of \ interior \ angles \ of \ a \ \triangle=180^0\]\[Also,Sum \ of \ exterior \ angles \ of \ the \ \triangle=360^0 \] dw:1357731900719:dw

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\underline{2}:Any \ exterior \ a ngle \ is \ always \ equal \ t o \ supplement\ of \ its \ adjacent \ interior \ \angle\]\[e.g \ \angle d=180 \angle c\]

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\underline{3}:Exterior \ angles \ is \ always \ equal \ t o \ the \ s um \ of \ opposite \ interior \ angl e.\]\[e.g.<d=<a+<b\]

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\underline{4}:Sum \ of \ the \ measures \ of \ any \ two \ sides \ is \ always \ greater \ than \ the \ third \ side \] \[e.g.AB+BC>AC \\ or \ \ AC+BC>AB \]

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\underline{5}:Side \ opposite \ t o \ greater \ angl e \ is \ larger \ i n \ measure \ than \ that \ of \ smaller \ angl e.\]\[e.g. if \ i n \ ABC \ a>b \ BC>AB \ as \ BC \ opposite \ t o \ angl e \ a\]

hba
 3 years ago
Best ResponseYou've already chosen the best response.366: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

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\underline{7}:AREA \ OF \ \triangle:\]\[Area=\frac{ 1 }{ 2 } \times Base \times height (Altitude)\]

hba
 3 years ago
Best ResponseYou've already chosen the best response.368:Perimeter:Sum of the sides of the triangle is called perimeter.

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\underline{TYPES \ OF \ \ TRIANGLE:}\]There are three types of triangles: a)Equilateral b)Isosceles c)Scalene

hba
 3 years ago
Best ResponseYou've already chosen the best response.36Yeah, In Equilateral,All sides are equal In Isoscles,Any two side and In Scalene ,No side equal to other

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\Huge  \text{END TO TRIANGLES}\]

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\huge\ \underline{ RECTANGLE} :\]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.

hba
 3 years ago
Best ResponseYou've already chosen the best response.36dw:1357735551081:dw So, \[\huge\ Area=L \times W\] \[\huge\ Perimeter=2(L+W) \]

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\Huge  \text{END TO RECTANGLE}\]

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\huge\ \underline{SQUARE} :\]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. \[Area=\frac{ d^2 }{ 2 } \] \[Perimeter \ of \ \square = 4x\] \[Diagonal=\sqrt{2} \times x\]

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\Huge  \text{END TO SQUARE}\]

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\huge\ \underline{CIRCLE} :\]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

hba
 3 years ago
Best ResponseYou've already chosen the best response.36CHORD: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.

hba
 3 years ago
Best ResponseYou've already chosen the best response.36CENTRAL ANGLE: An angle formed by two diff radii at centre is called central angle.In the figure <AOB is central angle.

hba
 3 years ago
Best ResponseYou've already chosen the best response.36CIRCUMFERENCE:Boundary of a circle is called circumference.

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\huge\ C= \pi . d\] \[(As \ d=2r)\] \[\huge\ C=2 \pi r\]

hba
 3 years ago
Best ResponseYou've already chosen the best response.36AREA OF CIRCLE: Area of circle is given by the formula. \[\huge\ A= \pi r^2\]

hba
 3 years ago
Best ResponseYou've already chosen the best response.36\[\Huge{\color{red}{{THE Da \space END{\ddot{\smile}}}}}\]

phi
 3 years ago
Best ResponseYou've already chosen the best response.2For definitions 5 and 6 under Angles you should spell out supplementary and complementary.

Koikkara
 3 years ago
Best ResponseYou've already chosen the best response.0hey, Really APPRECIATE you for the method of sharing Ideas...EXCELLENT JOB....HBA!!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you did an amazing job hba

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0that was very informative

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0this will help a lot of people who are starting geometry

hba
 3 years ago
Best ResponseYou've already chosen the best response.36Well,I am gonna include the Heroen's formula in the next tutorial :) Because it is gonna be a lil huge :) Thanks a lot anyways :)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0very useful keep it up.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0guys i toght him that jk :D

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0how long did tht take

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@hba welcome:) or should i say my new teacher for mathematics?

hba
 3 years ago
Best ResponseYou've already chosen the best response.36Yeah take it as 40 min :P @farukk Teacher lol,Ham tau aap kai bhai hai :D

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0hahaha tu kia hoa math bato se hi seekhi jati ha :p

hba
 3 years ago
Best ResponseYou've already chosen the best response.36@farukk Msg me if you need help .

amoodarya
 3 years ago
Best ResponseYou've already chosen the best response.1tnx Please comment on my activity

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yeah it's informative:)

hba
 3 years ago
Best ResponseYou've already chosen the best response.36Thank you very much. I am really sorry for not putting the heroen's formula though.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yeah i toght him well XD

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0reaper534_ nice joke :D aha peace XD

hba
 3 years ago
Best ResponseYou've already chosen the best response.36Lol learn to spell first then teach others :P

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0hahahahah :D it ain english class

abb0t
 3 years ago
Best ResponseYou've already chosen the best response.0How did you know I don't know Geometry o.0? n e wayz, bookmarked. great review!

hba
 3 years ago
Best ResponseYou've already chosen the best response.36I just shared it with you :)
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