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

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

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

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

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

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

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

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

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

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

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

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

mikaela19900630
 one year ago
Best ResponseYou've already chosen the best response.0you did an amazing job hba

ashlynn143
 one year ago
Best ResponseYou've already chosen the best response.0that was very informative

joyflow
 one year ago
Best ResponseYou've already chosen the best response.0this will help a lot of people who are starting geometry

hba
 one year 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 :)

farukk
 one year ago
Best ResponseYou've already chosen the best response.0very useful keep it up.

Reaper534
 one year ago
Best ResponseYou've already chosen the best response.0guys i toght him that jk :D

Reaper534
 one year ago
Best ResponseYou've already chosen the best response.0how long did tht take

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

hba
 one year 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

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

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

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

farukk
 one year ago
Best ResponseYou've already chosen the best response.0yeah it's informative:)

hba
 one year 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.

Reaper534
 one year ago
Best ResponseYou've already chosen the best response.0yeah i toght him well XD

syhna
 one year ago
Best ResponseYou've already chosen the best response.0reaper534_ nice joke :D aha peace XD

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

Reaper534
 one year ago
Best ResponseYou've already chosen the best response.0hahahahah :D it ain english class

abb0t
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.36I just shared it with you :)
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