Download 9.CONGRUNCE OF TRIANGLE I. Choose the correct option. 1

9.CONGRUNCE OF TRIANGLE
I. Choose the correct option.<1M>
1.Two
line segments are congruent if ___________.
(A) they have equal lengths
(B) ) they have equal breadth
C) they are not equal
(D) none of these
2.Among
two congruent angles, one has a measure of 70°; the measure of the other angle is
___________.
(A) 600
(B) 300
(C) 700
(D) 450
3.Are
the two triangles, PQS and PRS congruent?
(A) No
(B) Might be
(C) Yes
(D) Can't say
4.Give
any real life example of congruent shapes.
(A) A pair of shaving blades of same company
(C) Computers of same company
5.Among
(A) 60
o
(B) Sheets of same letter pad
(D) All of them
two congruent angles, one has measure 80o, what is the measure of the other angle?
(B) 40o
(C) 80o
(D) 90o
6.When
are two objects congruent?
(A) Objects which are similar in size and shape.
(B) Object which are different in size and
shapes.
(C) Objects which are similar in size but different in shape. (D) All of them.
7.Complete
the statement :
Two line segments are congruent if _____________.
(A) They are of different length.
(B) They are of same length.
(C) They are rays instead of segments.
(D) None of them.
8.Triangle
ABC is an isosceles triangle with AB = AC and AD as one of the altitudes of the triangle.
B=
C. Why?
(A) The base angles of an isosceles triangle are equal
(B) Angles opposite to equal sides are equal
(C) Both option 'a' and 'b&rsquo
(D) None of them
9.Two
angles are congruent when ___________.
(A) The angles are of equal measurement.
(B) The angles are of not equal measurement
(C) The angles are corresponding.
(D) The angles are alternate.
10.Using
what rule of congruency, can we prove
and O is the midpoint of CD
(A) SAS
(B) ASA
(C) AAA
AOC and
BOD congruent, if
C and
(D) None of them
11.If
you want to show two triangles are congruent, using the SSS rule then you need to show
___________.
(A) All angles are equal.
(B) All sides are equal.
(C) One angle and 2 sides are equal.
(D) All of them.
12.Which
of the pair of triangles are congruent?
Fig(i)
Fig (ii)
(A) Only Fig (i)
(B) Only Fig (ii)
Fig (iii)
(C) Only Fig (iii)
(D) All of them
D= 70o
13.Can
two triangles having equal angles be congruent?
(A) Yes
(B) No
(C) Can't say
(D) Might be
14.In
the given fig, D is the mid point of BC and AB = AC. By which rule are the triangles ABD and
ACD congruent?
(A) SSS
(B) SAS
(C) ASA
(D) Both option 'a' and 'b'
15.If
two triangles are congruent by the rule of SSS, will their respective perimeter be equal?
(A) No
(B) Yes
(C) Might be
(D) Can't say
16.By
which rule, the two triangles are congruent?
(A) SAS
17.The
(C) ASA
(D) RHS
two triangles PQR and STU are congruent by the rule ___________ .
(A) SSS
18.Congruent
(A) Fake
19.In
(B) SSS
(B) RHS
(C) ASA
objects are ________ copies of each other.
(B) Exact
(C) Unequal
the given figure, which two triangles are congruent?
(D) SAS
(D) None of them
(A)
AOB is congruent to
ACO
(B)
AOC is congruent to
(C)
ADB is congruent to
BCA
(D) None of them
ABO
20.Biscuits
in same packet will be ______________.
(A) Unequal
(B) not congruent
(C) Congruent
21.Perimeter of
a rectangle ___________
b) 2(l+b)
c) 2(l÷b)
d) 2(lxb)
a) 2(l-b)
22.In
the given figure, AD is the bisector of
AB = AC.
by which rule?
(B) SAS
(A) SSS
23.What
(A) =
24.Find
[
the three pairs of equal parts in given
ABC and
ABC
(A)
RQP then,
A
(B)
(D) RHS
(D)
ADB and
(A) AB = AC, AD = DA and BDA = C DA
(C) BD = CD, AD = AC and ABD = C DA
25.If
ADC .
(B) AD = AC, AB = AD and
(D) None of them.
PQR are congruent under the correspondence:
P = …….
B
(C)
]
BAC and
(C) ASA
is the symbol of congruency?
(B)
(C)
(D) can't say
C
(D)
R
BAD =
CAD
26.If
you want to show that two triangles are congruent using the SAS rule, then you need to show
………….
(A) All angles are equal.
(B) All sides are equal. (C) Two angles and 1 side are equal.
(D) Two sides and the included angle of a triangle are equal to two corresponding sides and the included
angle of another triangle.
27.In
the given figure which of the following statements are true?
(A)
AOC
BOC
BOD
OBD
(B)
AOC
ABD
(C)
ACD
AOD
28.SSS congruence means _______________
a) side, side, side
b) side, angle, side
[
c) side, side, angle
(D)
]
d) angle , angle, angle
29.In
two plane figures F1 and F2 are congruent, if the trace-copy of F1 fits exactly on that of F2. We write
this as …………………
(A) F1 = F2
(B) F1 F2
(C) F1 F2
(D) F1 F2
30.ABC
If
PQR by RHS criterion.
then
Q = ………
B=
(A)
31.If
(B)
triangle ABC congruence to triangle CBD, then
(A)
CDB
32.Among
(A) 50
33.In
(C)
0
(B)
CBD
(C)
(D) None of them.
ABC = ………
DCB
(D) None of them
two congruent angles, one has a measure of 600 ; the measure of the other angle is …….
(B) 600
(C) 700
(D) 800
the given figure, triangle ABD is congruent to triangle ACD, by which rule?
(A) SSS
(B) SAS
(C) ASA
34.Which
angle is included between the sides
FDE
(B)
EFD
(A)
(D) RHS
and
of
(C)
DEF
?
(D) None of them
35.If
you want to show that two triangles are congruent, using the ASA rule then you need to show
………….
(A) All angles are equal.
(B) All sides are equal.
(C) Two angles and the included side of a triangle are equal to two corresponding angles and the included
side of another triangle.
(D) One angle and two sides are equal.
36.The
given triangles are congruent to each other, write them in symbolic form:
(A)
ABC
RQP
(B)
ABC
QRP
(C)
CBA
RQP
(D)
ACB
RQP
two angles have the same measure, then they are called …
(A) Congruent.
(B) Complimentary.
(C) Supplementary.
37.If
(D) Both of them.
38.Which
congruence criterion do you use in the given information? AC = DF, AB = DE and BC = EF
So ABC is congruent to DEF.
(A) SAS
(B) SSS
(C) ASA
(D) RHS
39.In congruence triangles ABC and PQR, three equality relation between some corresponding parts are
AB = QP , B = Q and C = R. Which congruence condition is used here?
[
]
a)SAS
b)ASA
c)SSS
d)AAS
40.In
the given figure ray AZ bisects
DAB as well as
.
AB = ……..
(A) AD
(B) BC
(C) AC
(D) CD
41.In
the given figure, the two triangles are congruent. The correspondingparts are marked. We can write
RAT
…………
(A)
WON
(B)
WNO
(C)
NOW
(D) None of them
42.The circles are congruent_____________
a) They have equal radii
have equal areas
[
]
b) They have equal lengths c) They have equal circumference d) They
II. Solve the following problems.(2M)
1.In
the following fig. , DA
ABC an
(i)
2.If
(i)
AB and AC = BD. State the three pairs of equal parts in
DAB. Which of the following statements is meaningful?
ABC
BAD (ii)
DEF
E (ii)
AB, CB
ABC
ABD
BCA, write the parts that corresponds to
(iii)
F (iv)
3.If
ABC
FED under the correspondence ABC
parts of the triangles.
4.It
is to be established by RHS congruence rule that
needed, if it is given that
B=
5.In
FED, write all the corresponding congruent
ABC
PQR. What additional information is
Q = 90º and AC =PR?
the figure, the two triangles are congruent. The corresponding parts are marked.Can we write
RAT
WON?
If yes write equality parts in symbolic form
III. Solve the following problems.(3M)
1.In
triangles ABC and PQR, AB = 3.5 cm, BC = 7.1 cm, AC = 5 cm, PQ = 7.1 cm, QR = 5 cm and PR =
3.5 cm. Examine whether the two triangles are congruent or not. If yes, write the congruence relation in
symbolic form.
2.In
Fig, BD and CE are altitudes of
ABC such that BD = CE.
(i) State the three pairs of equal parts in
CBD and
(ii) Is
CBD
BCE? Why or why not?
(iii) Is
3.In
DCB =
BCE.
EBC? Why or why not?
the given fig. , can you use ASA congruence rule and conclude that
AOC
BOD?
4.In
, AB = AC and AD is the bisector of
BAC.
(i) State three pairs of equal parts in triangles ADB and ADC.
(ii) Is
ADB
(iii) Is
B=
ADC? Give reasons.
C? Give reasons.
5.In
Fig, AD = CD and AB = CB.
(i) State the three pairs of equal parts in
(ii) Is
ABD
ABD and
CBD? Why or why not?
CBD.
IV. Solve the following problems.(4M)
1.Complete
the congruence statement:
(i)
BCA
? Write all the equality parts symbolically. By which rule you apply
(ii)
QRS
? Write all the equality parts symbolically. By which rule you apply
2.ABC
is an isosceles triangle with AB = AC and AD is one of its altitudes.
(i) State the three pairs of equal parts in
ADB and
(ii) Is
ADB
ADC? Why or why not?
(iii) Is
B=
C? Why or why not?
(iv) Is BD = CD? Why or why not?
ADC.