EduSahara™ Assignment
Name : Triangles Congruency Miscellaneous
Chapter : Triangles
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△ROP
≅
(i)
△QRS
(ii)
△OPQ
(iii)
△PQR
(iv)
△OPS
(v)
△QRO
Question
2
2.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
△DEF
≅
(i)
△CDE
(ii)
△FCD
(iii)
△EFG
(iv)
△EFC
(v)
△CDG
Question
3
3.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
△KLI
≅
(i)
△IJK
(ii)
△IJM
(iii)
△LIJ
(iv)
△JKL
(v)
△KLM
Question
4
4.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
△CDE
≅
(i)
△EFC
(ii)
△CDG
(iii)
△EFG
(iv)
△FCD
(v)
△DEF
Question
5
5.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△KHI
≅
(i)
△IJK
(ii)
△LHI
(iii)
△JKH
(iv)
△HIJ
Question
6
6.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△KLM
≅
(i)
△MJK
(ii)
△NJK
(iii)
△JKL
(iv)
△LMJ
Question
7
7.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△LMJ
≅
(i)
△MJK
(ii)
△JKL
(iii)
△NJK
(iv)
△KLM
Question
8
8.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△BCD
≅
(i)
△EBC
(ii)
△DEB
(iii)
△FBC
(iv)
△CDE
Question
9
9.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△TPQ
≇
(i)
△TRS
(ii)
△TPS
(iii)
△SPQ
(iv)
△TRQ
Question
10
10.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△MKJ
≇
(i)
△MIL
(ii)
△MKL
(iii)
△LIJ
(iv)
△MIJ
Question
11
11.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△PNO
≇
(i)
△PLM
(ii)
△PNM
(iii)
△OLM
(iv)
△PLO
Question
12
12.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△IEH
≇
(i)
△IEF
(ii)
△IGF
(iii)
△IGH
(iv)
△HEF
Question
13
13.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△KLI
≅
(i)
△MLI
(ii)
△MKJ
(iii)
△LJI
(iv)
△LJK
(v)
△KJI
Question
14
14.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△EDC
≅
(i)
△GED
(ii)
△FDC
(iii)
△FDE
(iv)
△GFC
(v)
△EFC
Question
15
15.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
△LKH
≅
(i)
△LJK
(ii)
△LIH
(iii)
△KIH
(iv)
△KIJ
(v)
△LJI
Question
16
16.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△KHG
≅
(i)
△KIJ
(ii)
△KJG
(iii)
△KIH
(iv)
△JHI
(v)
△JHG
Question
17
17.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△KIJ
≅
(i)
△KJG
(ii)
△JHI
(iii)
△KIH
(iv)
△JHG
(v)
△KHG
Question
18
18.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△KIH
≅
(i)
△KJG
(ii)
△KHG
(iii)
△JHG
(iv)
△JHI
(v)
△KIJ
Question
19
19.
Which of the following are true?
a)
Any two squares are congruent.
b)
Any two triangles are congruent.
c)
Any two circles are similar.
d)
Any two circles are congruent.
e)
Any two squares are similar.
f)
Any two triangles are similar.
(i)
{b,e}
(ii)
{a,c}
(iii)
{c,e}
(iv)
{d,f,c}
(v)
{a,e,c}
Question
20
20.
Which of the following are true?
a)
A semi-circle is a polygonal region.
b)
A square is a polygonal region.
c)
A sector is a polygonal region.
d)
A triangle is a polygonal region.
e)
A circle is a polygonal region.
(i)
{a,b}
(ii)
{b,d}
(iii)
{e,a,b}
(iv)
{c,d}
(v)
{c,d,b}
Question
21
21.
Which of the following are true?
a)
Congruent figures have same area.
b)
If two figures are congruent, then they are similar too.
c)
If two figures are similar, then they are congruent too.
d)
Similar and congruent are not synonymous.
e)
Similar figures have same area.
(i)
{c,a}
(ii)
{e,b}
(iii)
{c,e,d}
(iv)
{c,a,b}
(v)
{a,b,d}
Question
22
22.
In the given figure, points M , N and O are the mid-points of sides KL, LJ and JK of △JKL. Which of the following are true?
a)
△OKM ≅ △JON
b)
△JON ≅ △MNO
c)
△JON ≅ △MON
d)
△JON ≅ △NML
e)
△OKM ≅ △MNO
(i)
{c,e,a}
(ii)
{a,b,d,e}
(iii)
{c,b}
(iv)
{c,d}
(v)
{c,a}
Question
23
23.
In the given figure, which of the following is true?
(i)
△DEF ≅ △SRQ
(ii)
△EFD ≅ △QRS
(iii)
△DEF ≅ △RSQ
(iv)
△DEF ≅ △QRS
(v)
△DEF ≅ △SQR
Question
24
24.
In the given figure, △DEF ≅ △SRQ. Which of the following are true?
a)
∠F = ∠Q
b)
∠D = ∠Q
c)
EF = RQ
d)
∠E = ∠R
e)
EF = SR
(i)
{a,c,d}
(ii)
{e,c}
(iii)
{b,e,d}
(iv)
{b,a}
(v)
{b,a,c}
Question
25
25.
In the given figure, △ABC ≅ △SRQ. Which of the following are true?
a)
∠R = 53°
b)
∠Q = 68°
c)
∠Q = 59°
d)
∠R = 68°
e)
∠S = 53°
f)
∠S = 59°
(i)
{a,b,f}
(ii)
{c,a}
(iii)
{e,c,f}
(iv)
{d,b}
(v)
{d,a,b}
Question
26
26.
In the given figure, △BCD ≅ △STU. Which of the following are true?
a)
TU = 11 cm
b)
US = 13 cm
c)
ST = 11 cm
d)
TU = 13 cm
e)
ST = 13 cm
f)
US = 14 cm
(i)
{b,a}
(ii)
{a,e,f}
(iii)
{c,e}
(iv)
{c,a,e}
(v)
{d,b,f}
Question
27
27.
In the given figure, which of the following is true?
(i)
△CFE ≅ △CDE
(ii)
△CEF ≅ △CDE
(iii)
△CEF ≅ △ECD
(iv)
△CFE ≅ △DEC
(v)
△CEF ≅ △CED
Question
28
28.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 3
(iii)
fig 2
(iv)
fig 1
Question
29
29.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 1
(iii)
fig 4
(iv)
fig 2
Question
30
30.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 4
(iii)
fig 1
(iv)
fig 2
Assignment Key
1) (iii)
2) (ii)
3) (i)
4) (i)
5) (i)
6) (i)
7) (ii)
8) (ii)
9) (iii)
10) (iii)
11) (iii)
12) (iv)
13) (v)
14) (v)
15) (ii)
16) (ii)
17) (iii)
18) (v)
19) (iii)
20) (ii)
21) (v)
22) (ii)
23) (iv)
24) (i)
25) (i)
26) (ii)
27) (iii)
28) (iv)
29) (i)
30) (iv)
