EduSahara™ Assignment
Name : Triangles Congruency Miscellaneous
Chapter : Triangles
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
△NKL
≅
(i)
△KLM
(ii)
△MNO
(iii)
△LMN
(iv)
△MNK
(v)
△KLO
Question
2
2.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
△JKL
≅
(i)
△KLI
(ii)
△IJM
(iii)
△IJK
(iv)
△LIJ
(v)
△KLM
Question
3
3.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△QRO
≅
(i)
△OPQ
(ii)
△QRS
(iii)
△ROP
(iv)
△OPS
(v)
△PQR
Question
4
4.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
△DEF
≅
(i)
△FGH
(ii)
△GDE
(iii)
△FGD
(iv)
△EFG
(v)
△DEH
Question
5
5.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△JGH
≅
(i)
△KGH
(ii)
△HIJ
(iii)
△GHI
(iv)
△IJG
Question
6
6.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△CDE
≅
(i)
△DEB
(ii)
△BCD
(iii)
△EBC
(iv)
△FBC
Question
7
7.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△LMJ
≅
(i)
△NJK
(ii)
△KLM
(iii)
△JKL
(iv)
△MJK
Question
8
8.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△IJK
≅
(i)
△LIJ
(ii)
△KLI
(iii)
△JKL
(iv)
△MIJ
Question
9
9.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△RNO
≇
(i)
△RPQ
(ii)
△RNQ
(iii)
△RPO
(iv)
△QNO
Question
10
10.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△MKJ
≇
(i)
△MIL
(ii)
△MIJ
(iii)
△MKL
(iv)
△LIJ
Question
11
11.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△MKL
≇
(i)
△LIJ
(ii)
△MIJ
(iii)
△MIL
(iv)
△MKJ
Question
12
12.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△HDG
≇
(i)
△GDE
(ii)
△HFG
(iii)
△HDE
(iv)
△HFE
Question
13
13.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
△GHE
≅
(i)
△IGF
(ii)
△GFE
(iii)
△IHE
(iv)
△HFG
(v)
△HFE
Question
14
14.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△DCB
≅
(i)
△DEB
(ii)
△ECD
(iii)
△FDC
(iv)
△FEB
(v)
△ECB
Question
15
15.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△QPM
≅
(i)
△PNM
(ii)
△QNM
(iii)
△QOP
(iv)
△QON
(v)
△PNO
Question
16
16.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△MJI
≅
(i)
△MLI
(ii)
△MKJ
(iii)
△LJK
(iv)
△MKL
(v)
△LJI
Question
17
17.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
△NLM
≅
(i)
△NMJ
(ii)
△NLK
(iii)
△MKL
(iv)
△NKJ
(v)
△MKJ
Question
18
18.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△SQP
≅
(i)
△RPQ
(ii)
△SRO
(iii)
△SPO
(iv)
△RPO
(v)
△SQR
Question
19
19.
Which of the following are true?
a)
Any two squares are similar.
b)
Any two squares are congruent.
c)
Any two circles are similar.
d)
Any two circles are congruent.
e)
Any two triangles are congruent.
f)
Any two triangles are similar.
(i)
{b,a}
(ii)
{e,f,a}
(iii)
{d,c}
(iv)
{b,c,a}
(v)
{a,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 triangle is a polygonal region.
d)
A sector is a polygonal region.
e)
A circle is a polygonal region.
(i)
{d,c,b}
(ii)
{e,a,b}
(iii)
{d,c}
(iv)
{a,b}
(v)
{b,c}
Question
21
21.
Which of the following are true?
a)
Similar 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)
Congruent figures have same area.
(i)
{b,d,e}
(ii)
{a,b}
(iii)
{c,d}
(iv)
{a,c,e}
(v)
{a,b,d}
Question
22
22.
In the given figure, points L , M and N are the mid-points of sides JK, KI and IJ of △IJK. Which of the following are true?
a)
△INM ≅ △LNM
b)
△INM ≅ △LMN
c)
△NJL ≅ △INM
d)
△NJL ≅ △LMN
e)
△INM ≅ △MLK
(i)
{b,c,d,e}
(ii)
{a,b}
(iii)
{a,d}
(iv)
{a,e,b}
(v)
{a,c}
Question
23
23.
In the given figure, which of the following is true?
(i)
△CDE ≅ △UTS
(ii)
△CDE ≅ △TUS
(iii)
△CDE ≅ △STU
(iv)
△CDE ≅ △UST
(v)
△DEC ≅ △STU
Question
24
24.
In the given figure, △DEF ≅ △VUT. Which of the following are true?
a)
∠F = ∠T
b)
EF = UT
c)
∠D = ∠T
d)
EF = VU
e)
∠E = ∠U
(i)
{c,a}
(ii)
{a,b,e}
(iii)
{d,b}
(iv)
{c,d,e}
(v)
{c,a,b}
Question
25
25.
In the given figure, △DEF ≅ △RQP. Which of the following are true?
a)
∠P = 58°
b)
∠Q = 77°
c)
∠Q = 58°
d)
∠P = 46°
e)
∠R = 77°
f)
∠R = 46°
(i)
{a,b,f}
(ii)
{e,c,f}
(iii)
{d,a,b}
(iv)
{c,a}
(v)
{d,b}
Question
26
26.
In the given figure, △CDE ≅ △STU. Which of the following are true?
a)
US = 14 cm
b)
TU = 15 cm
c)
ST = 11 cm
d)
TU = 11 cm
e)
US = 15 cm
f)
ST = 15 cm
(i)
{a,d,f}
(ii)
{c,a,d}
(iii)
{c,d}
(iv)
{e,b,f}
(v)
{b,a}
Question
27
27.
In the given figure, which of the following is true?
(i)
△EGH ≅ △GEF
(ii)
△EHG ≅ △EFG
(iii)
△EGH ≅ △EGF
(iv)
△EGH ≅ △EFG
(v)
△EHG ≅ △FGE
Question
28
28.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 1
(iii)
fig 2
(iv)
fig 3
Question
29
29.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 1
(iii)
fig 3
(iv)
fig 2
Question
30
30.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 1
(iii)
fig 4
(iv)
fig 2
Assignment Key
1) (iii)
2) (iv)
3) (i)
4) (iii)
5) (ii)
6) (iii)
7) (iii)
8) (ii)
9) (iv)
10) (iv)
11) (i)
12) (i)
13) (ii)
14) (i)
15) (ii)
16) (i)
17) (ii)
18) (v)
19) (v)
20) (v)
21) (i)
22) (i)
23) (iii)
24) (ii)
25) (i)
26) (i)
27) (i)
28) (iii)
29) (iv)
30) (iii)
