Congruence Of Triangles Questions

We provide congruence of triangles practice exercises, instructions, and a learning material that allows learners to study outside of the classroom. We focus on congruence of triangles skills mastery so, below you will get all questions that are also asking in the competition exam beside that classroom.

Congruence Of Triangles Questions

List of congruence of triangles Questions

Question NoQuestionsClass
1In ( triangle A B C, A D ) is perpendicular bisector of BC (See adjacent figure). Show that ( triangle A B C ) is an isosceles triangle in
which ( boldsymbol{A B}=boldsymbol{A C} )
7
2From the given figure it is stated that
( boldsymbol{A B}=boldsymbol{A C} )
State true or false.
4 . True
B. False
7
3In the figure, the two triangles are
congruent. The corresponding parts are
marked. We can write ( Delta ) RAT ( equiv ? )
7
4In the given figure, if ( P Q R S ) is a
rectangle which one is true?
( mathbf{A} cdot A r Delta(A P S)=A r Delta(Q R B) )
B. ( P A=R B )
( mathbf{c} cdot A r(P Q S)=A r(Q R S) )
D. All of the above
7
5( A B C D E ) is a regular pentagon. Show
that ( triangle A B C cong triangle A E D )
7
6In the given figure, ( overline{P L} perp overline{O B} ) and ( boldsymbol{P M} perp overline{boldsymbol{O} boldsymbol{A}} ) such that ( overline{boldsymbol{P} boldsymbol{L}}=overline{boldsymbol{P} boldsymbol{M}} . ) Is
( triangle P L O cong triangle P M O ? ) Give reasons in
support of your answer
7
7( A B C ) is an isosceles triangle with
( A B=A C ) and ( A D ) is one of its altitude
A. State the three pairs of equal parts in ( triangle A D B ) and ( triangle A D C )
B. Is ( triangle A D B cong A D C ) ? Why or why not?
c. Is ( angle B=angle C ) ? Why or why not?
D. Is ( B D=C D ) ? Why or why not?
7
8n the given figure, ( boldsymbol{A B}=boldsymbol{A C} )
Then ( A D ) does not bisects angle ( A )
( A ). True
B. False
7
9In the figure above, ( A D=A C=C B )
If the value of ( y ) is ( 28^{circ}, ) what is the value
of ( x ? )
7
10You want to show that ( Delta A R T cong Delta P E N )
If you have to use SSS criterion, then you need to show RT=?
7
11In given figure ( A B ) is a line-segment. ( P )
and ( Q ) are points on either side of ( A B )
such that each of them is equidistant
from the points ( A ) and ( B . ) Show that the
line ( P Q ) is the perpendicular bisector of
( A B )
7
12In the figure, ( A B=C D ) and ( angle A= )
( mathbf{9 0}^{circ}=angle D . ) Then
A. ( Delta A B C cong Delta D B C ) by SAS postulate
B. ( Delta A B C cong Delta D C B ) by RHS postulate
c. ( Delta A B C cong Delta D B C ) by AAS postulate
D. ( Delta A B C cong Delta D C B ) by SSS postulate
7
13( triangle A B C ) and ( triangle D B C ) are two iosceles
triangle on the same base ( B C ) and
vertices ( A ) and ( D ) are on the same sides
of ( B C . ) If ( A D ) is exerted to intersect ( B C )
at ( P ), show that
( triangle boldsymbol{A B P} cong )
triangleACP
7
14n the following figure, ( boldsymbol{O A}=boldsymbol{O C} ) and
( A B=B C . ) Prove that
( angle A O B=90^{circ} )
ii) ( Delta A O D cong Delta C O D )
iii) ( boldsymbol{A} boldsymbol{D}=boldsymbol{C} boldsymbol{D} )
7
15In the following diagrams, ABCD is a
square and APB is an equilateral triangle. n each case, ( Delta A P D cong Delta B P C )
State whether the above statement is
true or false.
A. True
B. False
7
16In triangle ( A B C . D ) and ( E ) are points on side ( A B ) such that ( A D=D E=E B )
Through ( D ) and ( E ), lines are drawn
parallel to ( B C ) which meet side ( A C ) at
points ( boldsymbol{F} ) and ( boldsymbol{G} ) respectively. Through ( boldsymbol{F} )
and ( G ) lines are drawn parallel to ( A B )
which meet side ( B C ) at points ( M ) and
( N ) respectively
State whether true or false ( boldsymbol{B} boldsymbol{M}= )
( M N=N C .(text { Enter } 1 text { if true or } 0 )
otherwise)
7
17When two triangles have corresponding sides equal in length, then the
two triangles are congruent.
A. SAS congruency Theorem
B. AA congruency Theorem
C. AAA congruency Theorem
D. sss congruency Theorem
7
18( ln a Delta A B C, ) BD is the median to the side
( A C, B D ) is produced to ( E ) such that ( B D=D E ) Hence, AE parallel to BC. State whether the above statement is
true or false.
A. True
B. False
7
19In the given figure, the point ( P ) bisects ( A B ) and ( D C . ) Prove that ( Delta A P C cong Delta B P D )7
20Using ASA congruence. What is the
ength of ( boldsymbol{P Q} ) ?
( A cdot 9 )
3. 10
( c cdot 12 )
D. 14
7
21State true or false:
In the given figure, the diagonals ( boldsymbol{A C} )
and ( B D ) intersect at point ( O . ) If ( O B= )
( O D ) and ( A B / / D C, ) then
Area( (triangle D C B)= )Area( (triangle A C B) )
A. True
B. False
7
22Which of the following can be used to
prove that ( Delta A B C cong Delta S R T ? )
( A cdot A S A )
B. SAS
C . RHS
D. AAA
7
23You want to show that ( Delta mathrm{ART} cong Delta mathrm{PEN} )
If it is given that ( angle mathrm{T}=angle mathrm{N} ) and you are to
use SAS criterion, you need to have PN=
?
7
24Which congruence criterion do you use
in the following?
Given ( A C=D F, A B=D E, B C=E F, ) so ( Delta A B C )
( cong Delta D E F )
7
25A triangle ( A B C ) in which DE ( | B C ), and
intersects ( A B ) in ( D ) and ( A C ) in ( E )
Hence, ( frac{A B}{D B}=frac{A C}{E C} )
A. True
B. False
7
26If a line through one vertex of a triangle
divides the opposite sides in the ratio of other two sides, then the line bisects
the angle at the vertex.
A. True
B. False
7
27By applying ( S A S ) congruence rule, you
want to establish that ( triangle boldsymbol{P} boldsymbol{Q} boldsymbol{R} equiv )
( triangle F E D . ) It is given that ( P Q=F E ) and
( R P=D E . ) What additional information
is needed to establish the congruence?
7
28In figure The sides ( B A ) and ( C A ) have
been produced such that ( boldsymbol{B A}=boldsymbol{A D} )
and ( C A=A E ) prove that segment
( boldsymbol{D} boldsymbol{E} | boldsymbol{B C} )
7
29In the given figure, ( A B=A C ). Then
( angle B O C=angle A C D )
If the above statement is true then
mention answer as 1 . else mention 0
7
30In the given fig. if ( A D=B C ) and ( A D | B C )
then:
( A, A B=A D )
B. AB = DC
( c cdot B C=c D )
D. None
7
31AD is an altitude of an isosceles
triangle ( A B C ) in which ( A B=A C . ) show
that
(i) AD bisects BC
(ii) AD bisects ( angle A )
7
32na ( Delta A B C ), the sides ( A B, B C ) and ( C A ) are
( mathbf{1 0 c m}, mathbf{8 c m} ) and ( mathbf{7 c m} ) respectively. In AB
a point ( P ) is taken such that ( A P=4 c m ).
If ( P Q ) is drawn parallel to ( B C ), then its
length is equal to
A. ( 4.0 mathrm{cm} )
В. ( 3.8 mathrm{cm} )
( c .3 .5 mathrm{cm} )
( 0.3 .2 mathrm{cm} )
7
33( triangle A B C ) is congruent to ( triangle F E D )
( A ). True
3. Falss
7
34( A B, ) if ( D C=20 mathrm{cm} ) and ( M N=27 mathrm{cm} )
( 4.43 mathrm{cm} )
3. 31 ст
( c cdot 34 c m )
( 30 mathrm{cm} )
7
35For ( Delta A B C ) and ( Delta D E F, A B= )
( boldsymbol{F} boldsymbol{E}, boldsymbol{B} boldsymbol{C}=boldsymbol{E} boldsymbol{D} ) and ( angle boldsymbol{B}=angle boldsymbol{E} )
Therefore
A. ( Delta A B C cong Delta D E F )
B. ( Delta A B C cong Delta E D F )
c. ( Delta B C A cong Delta D E F )
D. ( Delta B C A cong Delta E D F )
7
36In the given figure, ( angle A=angle C E D ). Prove
that ( triangle mathrm{CAB} sim triangle mathrm{CED} ). Also, find the
value of ( boldsymbol{x} )
7
37If the two sides and the ( _{—-} ) angle of
one triangle are respectively equal to two sides and the included angle of the
other triangle, then the triangles are
congruent.
A. Included
B. Excluded
c. Adjacent
D. Any
7
38In the given figure, the diagonals ( A C )
and BD intersect at point ( 0 . ) If ( O B=0 D )
and AB//DC, show that:
Area ( (Delta D O C)=A r e a(Delta A O B) )
f the ( A(triangle D O C)=21 ) sq. units, then
( boldsymbol{A}(triangle boldsymbol{D} boldsymbol{O} boldsymbol{C})+boldsymbol{A}(triangle boldsymbol{A} boldsymbol{O} boldsymbol{B}) ) is :
7
39In the given figure, ( A D=B C, A C= )
BD. Then ( triangle P A B ) is
A . equilateral
B. right angled
( c . ) scalene
D. isosceles
7
40In ( triangle P Q R, N ) is a point on ( P R ) such that ( Q N perp P R ) If ( P N times N R=Q N^{2}, ) prove
that ( angle P Q R=90^{circ} )
7
41PX bisects angle P. If True enter 1 else if
False enter 0
7
42( X T Q cong Delta X S Q )7
43n Fig ( , A C=A E, A B=A D ) and
( angle B A D=angle E A C . ) Show that ( B C=D E )
7
44n triangle ( A B C, A B=A C ; B E perp A C )
and ( C F perp A B )
State whether following statement is
true or false
( boldsymbol{A F}=boldsymbol{A E} )
A. True
3. False
7
45In the quadrilateral ( boldsymbol{A B C D}, boldsymbol{A D}= )
( C D ) and ( angle A=90^{circ}=angle C . ) Prove that
( boldsymbol{A B}=boldsymbol{B C} )
7
46n ( Delta A B C, angle A B C=90^{circ} ) and ( P ) is a
point on ( A C ) such that ( angle P B C= )
( angle P C B . ) Show that ( : P A=P B . ) Enter 1 if
true else 0
7
47( Delta A B D ) and ( Delta E C D ) are congruent.
State whether the above statement is
true or false.
A . True
B. False
7
48If the hypotenuse and one of the other two sides of a right angles triangle are equal to the hypotenuse and one of the sides of the other right-angled triangle respectively, then the two right-angled triangles are
A. congruent
B. unequal
c. equilateral
D. None of the these
7
49n the given figure, it is given that
( boldsymbol{R T}=boldsymbol{T} boldsymbol{S}, angle mathbf{1}=mathbf{2} angle mathbf{2} ) and ( angle mathbf{4}=mathbf{2} angle mathbf{3} )
Prove that ( Delta R B T cong Delta S A T )
7
50In the given figure, ( A B=D C ) and
( B D=C A . ) Prove that ( Delta A B C cong D C B )
7
51Prove that the bisectors of opposite angles of a parallelogram are parallel.7
52Given information is shown marked on
the diagrams as shown,

To prove that ( A C B ) and DFE are congruent by SAS, what additional information is
needed?
( mathbf{A} cdot E F cong B C )
B. ( angle D F E cong angle A B C )
( mathbf{c} cdot D E cong A B )
D. ( angle D F E cong angle A C B )

7
53In a square ( A B C D, ) diagonals meet at 0
Pis a point on BC such that ( O B=B P ).
( angle B O P=3 angle C O P )
State whether the above statement is
true or false.
A. True
B. False
7
54In a right angled triangle, prove that the line segment joining the mid-point of the hypotenuse to the opposite vertex is half the hypotenuse.7
55You have to show that ( Delta A M P cong Delta A M Q )
In the following proof, supply the
missing reasons
steps Reasons
(i) PM=QM
(i)
( angle mathrm{PMA}=angle mathrm{QMA} )
(i)
(ii) AM =AM
(iii)
(iv) ( Delta mathrm{AMP} cong Delta mathrm{AMQ} )
(iv)
7
56In following pairs of triangles, find the
pairs which are congruent? Also, write
the criterion of congruence
7
57In the figure, ( angle A=90^{circ}=angle D ) and
( A B=D C . ) Then ( Delta A B O cong Delta D C O ) by
the congruence postulate
A . ASA
B. SAS
( c . ) sss
D. RHS
7
58The Indian Navy flight fly in a formation
that can be viewed as two triangles with
common side. Prove that ( triangle boldsymbol{S} boldsymbol{R} boldsymbol{T} cong )
( triangle Q R T, ) if ( T ) is the midpoint of ( S Q ) and
( boldsymbol{S} boldsymbol{R}=boldsymbol{R} boldsymbol{Q} )
7
59The bisectors of opposite angles are parallel to each other7
60( A B C ) is an isosceles triangle in which
the altitudes ( B E ) and ( C F ) are drawn to
the equal sides ( A C ) and ( A B )
respectively. Then
( mathbf{A} cdot B E=C F )
B. ( B E=A B )
c. ( A B=B C )
D. ( A C=B C )
7
61In a diagram of ( Delta A B C ) and ( Delta D E F )
below, ( boldsymbol{B C} cong boldsymbol{E} boldsymbol{F}, angle boldsymbol{B} cong angle boldsymbol{E} ) and ( angle boldsymbol{A} cong )
( angle D . ) Which method can be used to prove
( Delta A B C cong Delta D E F ? )
A. AAA congruence
B. SAS congruence
C. AAS congruence
D. SSS congruence
7
62In triangle ( A B C, ) the bisector of angle
( B A C ) meets opposite side ( B C ) at point
D. If ( B D=C D, ) prove that ( Delta A B C ) is
isosceles.
7
63In ( triangle A B C ) is on isosceles ( triangle ) with ( A B= )
( A C ) and ( D ) in a point on BC such that
( A D perp B C . ) Prove that ( angle B A D=angle C A D )
7
64In a right ( triangle A B C, ) right angled at ( C, M )
is the mid point of the hypotenuse of
( A B . C ) is joined to ( M ) produced to a
point ( D ) such that ( D M=C M . ) Point ( D )
is joined to point ( boldsymbol{B} ). Then
rhis question has multiple correct options
A. ( triangle A M C cong triangle B M D )
B. ( angle D B C ) is a right angle
c. ( triangle D B C cong triangle A C B )
( ^{mathrm{D}} cdot C M=frac{1}{2} A B )
7
65( A P ) bisects angle ( A )7
66Which of the following condition even if satisfied, does not make the two
triangles congruent?
A. S.S.S ( side-side-side)
B. A.A.A (angle-angle-angle)
c. s.A.S (side-angle-side)
D. A.S.A (angle-side-angle)
7
67( A B C ) and ( D B C ) are two isosceles
triangle on the same side of ( B C . ) Then, ( angle B D A=angle C D A )
A. True
B. False
7
68( A D ) is the bisector of BC
Which property of triangle applies here?
A. ( S A S )
B. ( S S S )
( c . A A S )
D. none
7
69FAC is congruent to GEC. Which
statement can NOT be proven??
( A cdot A F cong G E )
B. ( angle F C A cong angle G C E )
( c . angle C A F cong angle C D G )
( . A C cong E C )
( C )
7
70n right angled triangle ( A B C ), right angled at ( C, M ) is the mid-point of hypotenuse ( A B . C ) is joined to ( M ) and
produced to a point ( D ) such that
( D M=C M . ) Point ( D ) is joined to point
B. Show that:
(i) ( triangle A M C cong triangle B M D )
(ii) ( angle D B C ) is a right angle.
(iii) ( triangle D B C cong triangle A C B )
( (mathrm{iv}) C M=frac{1}{2} A B )
7
71The diagonals of a rectangle are unequal in length.
A. True
B. False
7
72If the midpoints of the sides of an equilateral triangle are connected, then they divide it into four triangles all
of which are
A. congruent
B. Similar in shape
C. Different
D. None of these
7
73You want to show that ( Delta mathrm{ART} cong Delta mathrm{PEN} ).
If it is given that ( A T=P N ) and you are to
use ASA criterion, you need to have?
7
74Quadrilateral ( A B C D ) is a square. ( P, Q )
and ( R ) are the points on ( A B, B C ) and
( C D ) respectively, such that ( boldsymbol{A P}= ) ( boldsymbol{B} boldsymbol{Q}=boldsymbol{C} boldsymbol{R} . ) Hence, If ( angle boldsymbol{P} boldsymbol{Q} boldsymbol{R} ) is a right
angle, find ( angle P R Q(text { in degrees }) )
7
75Points ( mathrm{M} ) and ( mathrm{N} ) are taken on the
diagonal AC of a parallelogram ABCD such that ( A M=C N )
BMDN is a
7
76In the given figure, ( 2 A P=5 P B ) and
( 2 C P=5 P D )
Is : ( boldsymbol{A C} | boldsymbol{D B} ) ?
If the above statement is true then
mention answer as 1 , else mention 0
7
77( ln Delta A B C, ) D is a point on BC such that
( A B=A D=B D=D C ). then
( angle A D C: angle C=4: 1 )
State whether the above statement is
true or false.
A. True
B. False
7
78( triangle mathrm{ABC} ) and ( triangle ) DEF are two triangles, then to ensure that two triangles ABC and DEF are congruent, 3 conditions ( operatorname{given} ; A B=D E, A C=D F, angle A B C=angle )
DEF are
A. sufficient but not necessary
B. necessary but not sufficient
c. neither necessary nor sufficient
D. both necessary and sufficient
7
79Two chords ( A B ) and ( A C ) of a circle with
centre ( O ) are on the opposite sides of
( boldsymbol{O} boldsymbol{A} . ) Then:
A. ( angle O A B=angle O A C ).
в. ( angle O A B neq angle O A C ).
c. Cannot be determined
D. None of the above
7
80In a squared sheet, draw two triangles
of equal areas such that
(i) the triangles are congruent.
(ii) the triangles are not congruent What can you say about their perimeters?
7
81Complete the following statements:
a) Two line segments are congruent if
b) Among two congruent angles, one
has measure of ( 70^{0} ), the measure of the
other angle is
c) When we write ( angle A=angle B ), we actually
mean..
7
82AB is a line segment ( C ) and ( D ) are points on opposite sides of ( A B ) such that each
of them is equidistant from the point ( mathbf{A} )
and ( mathrm{B} ) as in the figure. The line ( mathrm{CD} ) is
perpendicular bisector of ( mathrm{AB} )
A. True
B. False
7
83ABCD is a parallelogram. The sides AB
and ( A D ) are produced to ( E ) and ( F ) respectively, such that ( A B=B E ) and ( A D= )
DF.
Hence ( Delta B E C cong Delta D C F )
State whether the above statement is
true or false.
A. True
B. False
7
84( A B C D ) is a square and ( Delta P A D ) is
equilateral then ( boldsymbol{P B}=mathbf{2 P C} )
A. True
B. False
7
85If ( mathrm{BC} ) and ( mathrm{AD} ) are equal perpendiculars
to line segment ( A B, ) then ( Delta O B C cong )
( Delta O A D ) by which of the following tests
of congruence? What can be said about
( A B ) and ( C D ? )
A. ( A S A ) test, CD bisects AB
B. ( S A S ) test, AB bisects ( c ) D
c. ( A S A ) test, AB bisects ( c ) D
D. ( S A S ) test, CD bisects AB
7
86( triangle A B C ) is an isosceles triangle in
which ( A B=A C . ) Show that ( angle B=angle C )
7
87State whether the triangles are
congruent or not ( ? ) Give reasons for your
answer?
7
88t is given that ( A B=B C ) and ( A D= )
EC. The ( triangle A B E cong triangle C B D ) by
congruency
A. ( S S S )
B. ( A S A )
( c . S A S )
D. ( A A S )
7
89( ln Delta A B C ) and ( Delta D E F, A B=D F ) and
( angle A=angle D . ) The two triangles will be
congruent by SAS axiom if :
A ( . ) BC ( = ) EF
B. AC = DE
( c cdot B C=D E )
D. AC = EF
7
90the perpendiculars from B and ( mathrm{C} ) to
the opposite sides are equal

If the above statement is true then
mention answer as 1 , else mention 0 if
false

7
91If the diagonal BD of a quadrilateral
ABCD bisects both ( angle B ) and ( angle D ) then
( A B=A D )
A . True
B. False
7
92In the given figure, ( A P ) is bisector of ( angle A )
and ( mathrm{CQ} ) is bisector of ( angle C ) of
parallelogram ABCD
Prove that APCQ is a parallelogram
7
93In Fig. 9.20 .0 is the centre of a circle of
radius ( 5 mathrm{cm}, ) T is a point such that ( mathrm{OT}= )
( 13 mathrm{cm} ) and ( mathrm{OT} ) intersects the circle at ( mathrm{E} ). If
AB is the tangent to the circle at ( mathrm{E} ) and
it intersects the tangents PT and QT at ( A ) and ( B, ) find the length of ( A B )
A ( cdot frac{10}{3} mathrm{cm} )
B. ( frac{20}{3} mathrm{cm} )
( c .10 mathrm{cm} )
D. ( 15 mathrm{cm} )
7
94In the figure, find the value of ( x )
( mathbf{A C}=mathbf{C D} )
7
95In given figure ( A B ) is a line segment
and line ( l ) is its perpendicular bisector.
f a point ( P ) lies on ( l ), show that ( P ) is
equidistant from ( A ) and ( B )
7
96If in two triangles ( P Q R ) and ( D E F )
( boldsymbol{P R}=boldsymbol{E F}, boldsymbol{Q} boldsymbol{R}=boldsymbol{D} boldsymbol{E} ) and ( boldsymbol{P Q}=boldsymbol{F D} )
then ( triangle boldsymbol{P Q R} cong triangle_{—} )
( mathbf{A} cdot F D E )
в. ( D E F )
c. ( F E D )
D. ( D F E )
7
97and ( m ) are two parallel lines
intersected by another pair of paralle
lines ( p ) and ( q . ) Then
A. ( triangle A B C cong triangle C D A )
B. ( triangle A B C cong triangle A D C )
c. ( triangle A B C cong triangle D C A )
( triangle A B C cong triangle C A D )
7
98In the given figures, which of the
following satisfies A.S.A. condition for
congruence?
A . Figure I
B. Figure I and II
C . Figure
D. None of these
7
99If ( _{-}- ) sides of a triangle are respectively equal to the sides of
the other triangle, then the triangles are congruent.
A. Three
B. Two
c. one
D. None
7
100( Delta A B C quad ) and ( Delta D B C quad ) are two
isosceles triangle on the same base BC
and vertices ( A ) and ( D ) are on the same
side of BC. if AD is extended to intersect
( mathrm{BC} ) at ( mathrm{p}, ) show that AP is the perpendicular bisector of BC
7
101Then
Answer: DC produced bisects BC at right angle. If true then enter 1 else if False enter 0
7
102In the given figure, ( triangle D A ) and ( triangle C A B )
are on the same base ( A B ). Prove that
( triangle D A B equiv triangle C A B )
7
103Which condition of congruence will
satisfy the diagram?
A. SSA
B. AAS
c. ASA
D. sss
7
104Which of the following pair of triangles
are congruent by RHS criterion?
(i)
(ii)
(iii)
(iv)
( A cdot ) (i) and (ii)
B. (iii) and (iv)
c. (i) and (iii)
D. (ii) and (iv)
7
105If in two triangles ( Delta A B C ) and ( Delta P Q R )
( A B=Q R, B C=P R ) and ( C A=P Q )
then :
A. ( Delta A B C cong Delta P Q R )
в. ( Delta C B A cong Delta P R Q )
c. ( Delta B A C cong Delta R P Q )
D. ( Delta P Q R cong Delta B C A )
7
106Prove that the line segment joining the mid point of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides?7
107In ( Delta A B C, A B=A C ) and ( A D ) is
perpendicular bisector of ( boldsymbol{B C} ). The
property by which ( Delta A D B ) is not
congruent to ( Delta A D C ) is
A. SAS property
B. SSS property
c. RHS property
D. AAA property
7
108In the figure given below, ( D E | B C ). If
( boldsymbol{A D}=boldsymbol{p} mathrm{cm}, boldsymbol{D B}=boldsymbol{p}-boldsymbol{2} mathrm{cm}, boldsymbol{A} boldsymbol{E}= )
( p-1 mathrm{cm}, ) then find the value of ( mathrm{p} )
( A )
B.
c. None
( D )
7
109( boldsymbol{O} boldsymbol{E}=frac{1}{2} boldsymbol{A} boldsymbol{B} )7
110Which congruence criterion do you use
in the following?
Given: ( angle mathrm{MLN}=angle mathrm{FGH}, angle mathrm{NML}=angle mathrm{HFG}, mathrm{ML} )
= FG. So ( Delta ) LMN ( equiv Delta G F H )
7
111On the sides ( A B ) and ( A C ) of triangle ( A B C ), equailateral triangle ( A B D ) and ( A C E ) are drawn, then ( angle C A D=angle B A E )
If true then enter 1 and if false then
enter 0
7
112ABCD is a square ( P, Q ) and ( R ) are the points on ( A B, B C ) and ( C D ) respectively;
such that ( A P=B Q=C R )
Hence, ( P B=Q C )
If the above statement is true then
mention answer as 1 , else mention 0 if
false
7
113( frac{B D}{B E}=frac{C D}{C E} )
A. True
B. False
7
114In the parallelogram ABCD, the angles A
and ( C ) are obtuse. Points ( X ) and ( Y ) are
taken on the diagonal BD such that the angles ( mathrm{XAD} ) and ( mathrm{YCB} ) are right angles.
Prove that: ( X A=Y C ).
State whether the above statement is
true or false.
A. True
B. False
7
115Which congruence criterion do you use
in the following?
Given: ( mathrm{EB}=mathrm{BD}, mathrm{AE}=mathrm{CB}, angle mathrm{A}=angle mathrm{C}=90^{circ} )
So ( Delta A B E equiv Delta C D B )
7

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