EduSahara™ Assignment
Name : Triangles Congruency Miscellaneous
Chapter : Triangles
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
△DAB
≅
(i)
△CDE
(ii)
△BCD
(iii)
△CDA
(iv)
△ABC
(v)
△ABE
Question
2
2.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
△GHI
≅
(i)
△IFG
(ii)
△HIF
(iii)
△HIJ
(iv)
△FGJ
(v)
△FGH
Question
3
3.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
△DEB
≅
(i)
△EBC
(ii)
△DEF
(iii)
△BCD
(iv)
△BCF
(v)
△CDE
Question
4
4.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
△KLM
≅
(i)
△KLO
(ii)
△MNO
(iii)
△LMN
(iv)
△NKL
(v)
△MNK
Question
5
5.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△EBC
≅
(i)
△DEB
(ii)
△FBC
(iii)
△BCD
(iv)
△CDE
Question
6
6.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△OPQ
≅
(i)
△NOP
(ii)
△PQN
(iii)
△RNO
(iv)
△QNO
Question
7
7.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△PQN
≅
(i)
△OPQ
(ii)
△QNO
(iii)
△RNO
(iv)
△NOP
Question
8
8.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△DEF
≅
(i)
△EFG
(ii)
△HDE
(iii)
△GDE
(iv)
△FGD
Question
9
9.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△PLM
≇
(i)
△OLM
(ii)
△PLO
(iii)
△PNM
(iv)
△PNO
Question
10
10.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△IGF
≇
(i)
△IGH
(ii)
△IEH
(iii)
△IEF
(iv)
△HEF
Question
11
11.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△MKL
≇
(i)
△MIL
(ii)
△MKJ
(iii)
△MIJ
(iv)
△LIJ
Question
12
12.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△OKN
≇
(i)
△OKL
(ii)
△NKL
(iii)
△OMN
(iv)
△OML
Question
13
13.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
△JKH
≅
(i)
△KIJ
(ii)
△JIH
(iii)
△LJI
(iv)
△KIH
(v)
△LKH
Question
14
14.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
△JIH
≅
(i)
△LJI
(ii)
△KIH
(iii)
△JKH
(iv)
△KIJ
(v)
△LKH
Question
15
15.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
△HGD
≅
(i)
△HFE
(ii)
△HED
(iii)
△GEF
(iv)
△GED
(v)
△HFG
Question
16
16.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△MJI
≅
(i)
△MKJ
(ii)
△MKL
(iii)
△LJK
(iv)
△MLI
(v)
△LJI
Question
17
17.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
△ECD
≅
(i)
△DBA
(ii)
△ECB
(iii)
△EBA
(iv)
△DBC
(v)
△EDA
Question
18
18.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△OML
≅
(i)
△NLM
(ii)
△NLK
(iii)
△OMN
(iv)
△OLK
(v)
△ONK
Question
19
19.
Which of the following are true?
a)
Any two squares are similar.
b)
Any two squares are congruent.
c)
Any two triangles are similar.
d)
Any two triangles are congruent.
e)
Any two circles are congruent.
f)
Any two circles are similar.
(i)
{d,e,a}
(ii)
{b,a}
(iii)
{a,f}
(iv)
{c,f}
(v)
{b,f,a}
Question
20
20.
Which of the following are true?
a)
A sector is a polygonal region.
b)
A triangle is a polygonal region.
c)
A square is a polygonal region.
d)
A circle is a polygonal region.
e)
A semi-circle is a polygonal region.
(i)
{d,c}
(ii)
{b,c}
(iii)
{e,a,b}
(iv)
{a,b}
(v)
{d,c,b}
Question
21
21.
Which of the following are true?
a)
If two figures are similar, then they are congruent too.
b)
If two figures are congruent, then they are similar too.
c)
Similar figures have same area.
d)
Similar and congruent are not synonymous.
e)
Congruent figures have same area.
(i)
{a,c,e}
(ii)
{b,d,e}
(iii)
{c,d}
(iv)
{a,b}
(v)
{a,b,d}
Question
22
22.
In the given figure, points J , K and L are the mid-points of sides HI, IG and GH of △GHI. Which of the following are true?
a)
△GLK ≅ △KJI
b)
△GLK ≅ △JKL
c)
△LHJ ≅ △GLK
d)
△GLK ≅ △JLK
e)
△LHJ ≅ △JKL
(i)
{d,b}
(ii)
{d,a}
(iii)
{a,b,c,e}
(iv)
{d,c}
(v)
{d,e,a}
Question
23
23.
In the given figure, which of the following is true?
(i)
△DEC ≅ △TUV
(ii)
△CDE ≅ △UVT
(iii)
△CDE ≅ △VTU
(iv)
△CDE ≅ △TUV
(v)
△CDE ≅ △VUT
Question
24
24.
In the given figure, △CDE ≅ △UTS. Which of the following are true?
a)
DE = TS
b)
DE = UT
c)
∠C = ∠S
d)
∠D = ∠T
e)
∠E = ∠S
(i)
{b,a}
(ii)
{a,d,e}
(iii)
{b,a,d}
(iv)
{c,d}
(v)
{b,c,e}
Question
25
25.
In the given figure, △CDE ≅ △VUT. Which of the following are true?
a)
∠U = 52°
b)
∠T = 46°
c)
∠V = 52°
d)
∠T = 81°
e)
∠U = 46°
f)
∠V = 81°
(i)
{d,b}
(ii)
{c,a}
(iii)
{a,b,f}
(iv)
{e,c,f}
(v)
{d,a,b}
Question
26
26.
In the given figure, △DEF ≅ △UVW. Which of the following are true?
a)
WU = 16 cm
b)
VW = 15 cm
c)
WU = 14 cm
d)
UV = 15 cm
e)
UV = 14 cm
f)
VW = 14 cm
(i)
{d,a,b}
(ii)
{a,b,e}
(iii)
{d,b}
(iv)
{c,a}
(v)
{f,c,e}
Question
27
27.
In the given figure, which of the following is true?
(i)
△IKL ≅ △IKJ
(ii)
△ILK ≅ △JKI
(iii)
△ILK ≅ △IJK
(iv)
△IKL ≅ △KIJ
(v)
△IKL ≅ △IJK
Question
28
28.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 3
(iii)
fig 4
(iv)
fig 1
Question
29
29.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 1
(iii)
fig 4
(iv)
fig 3
Question
30
30.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 3
(iii)
fig 1
(iv)
fig 2
Assignment Key
1) (ii)
2) (i)
3) (iii)
4) (v)
5) (iv)
6) (iv)
7) (iv)
8) (iv)
9) (i)
10) (iv)
11) (iv)
12) (ii)
13) (ii)
14) (iii)
15) (ii)
16) (iv)
17) (ii)
18) (iii)
19) (iii)
20) (ii)
21) (ii)
22) (iii)
23) (iv)
24) (ii)
25) (iii)
26) (ii)
27) (iv)
28) (iii)
29) (ii)
30) (iv)
