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hbaBest 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
 one year ago

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

hbaBest 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
 one year ago

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

hbaBest 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
 one year ago

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

hbaBest 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
 one year ago

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

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

hbaBest 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
 one year ago

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

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

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

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

hbaBest ResponseYou've already chosen the best response.36
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

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

hbaBest ResponseYou've already chosen the best response.36
8:Perimeter:Sum of the sides of the triangle is called perimeter.
 one year ago

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

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

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

hbaBest 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.
 one year ago

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

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

hbaBest 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. \[Area=\frac{ d^2 }{ 2 } \] \[Perimeter \ of \ \square = 4x\] \[Diagonal=\sqrt{2} \times x\]
 one year ago

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

hbaBest 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
 one year ago

hbaBest ResponseYou've already chosen the best response.36
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

hbaBest ResponseYou've already chosen the best response.36
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

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

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

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

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

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

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

mikaela19900630Best ResponseYou've already chosen the best response.0
you did an amazing job hba
 one year ago

ashlynn143Best ResponseYou've already chosen the best response.0
that was very informative
 one year ago

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

hbaBest ResponseYou've already chosen the best response.36
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

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

Reaper534Best ResponseYou've already chosen the best response.0
guys i toght him that jk :D
 one year ago

Reaper534Best ResponseYou've already chosen the best response.0
how long did tht take
 one year ago

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

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

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

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

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

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

hbaBest ResponseYou've already chosen the best response.36
Thank you very much. I am really sorry for not putting the heroen's formula though.
 one year ago

Reaper534Best ResponseYou've already chosen the best response.0
yeah i toght him well XD
 one year ago

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

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

Reaper534Best ResponseYou've already chosen the best response.0
hahahahah :D it ain english class
 one year ago

abb0tBest ResponseYou've already chosen the best response.0
How did you know I don't know Geometry o.0? n e wayz, bookmarked. great review!
 one year ago

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