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- Chapter 1- Rational and Irrational Numbers
- Chapter 2- Compound Interest [Without Using Formula
- Chapter 3- Compound Interest [Using Formula
- Chapter 4- Expansions
- Chapter 5- Factorisation
- Chapter 6- Simultaneous Equations
- Chapter 7- Indices [exponents]
- Chapter 8- Logarithms
- Chapter 9- Triangles [Congruency in Triangles]
- Chapter 10- Isosceles Triangle
- Chapter 11- Inequalities
- Chapter 12- Mid-Point and Its Converse
- Chapter 13- Pythagoras Theorem
- Chapter 14- Rectilinear Figures
- Chapter 15- Construction of Polygons
- Chapter 16- Area Theorems
- Chapter 17- Circles
- Chapter 18- Statistics
- Chapter 19- Mean and Median
- Chapter 20- Area and Perimeter of Plane Figures
- Chapter 21- Solids
- Chapter 22- Trigonometrical Ratios
- Chapter 23- Trigonometrical Ratios of Standard Angles
- Chapter 24- Solution Of Right Triangles
- Chapter 25- Complementary angles
- Chapter 26- Co-ordinate Geometry
- Chapter 27- Graphical Solution
- Chapter 28- Distance Formula

Answer:

Solution

"hello students my name is pramit singh
and i welcome you all to leader learning
homework one of india's best online
classes
now today in this video we have a
question that is based on
congruent triangles the question says a
d and b c are equal perpendicular to a
line segment a b
now you can see we have made a line
segment a b this is line segment a b
and a d this side and bc they are equal
that is given already
if a d and b c are on different sides
if a d and b c are on different sides
of a b where is a b this is a b a d
and bc are on different side but you can
check we have
triangle point o common both of them
then we have to prove c d bisects a b by
a c d
c d bisects a b so that means
if it bisects so we have to prove what o
as the midpoint of a b so let us take
two triangles you can see we have
already solved the question and triangle
aod aod
and triangle boc angle aod this angle
will be equal to this vertically
opposite angle
already given so we have first angle
angle dao this
and angle obc or cbo 90 degree
that is also second angle now ad is
equal to
bc that is already given so based on
this
aas criterion we have triangle aod
congruent to triangle boc now based on
that
ao becomes equal to ob so that if ao
is equal to ob so that means o is
midpoint of a b
hence we have proof so if it is midpoint
so that means
cd bisects a b c d
bisects a b so i hope you have
understood the concept very clearly
but still if you have any doubt do
comment in the comment box and please
like and subscribe our channel follow
thank you"

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