EduSahara™ Assignment
Name : Triangles Congruency Miscellaneous
Chapter : Triangles
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
△QNO
≅
(i)
△NOR
(ii)
△PQN
(iii)
△OPQ
(iv)
△PQR
(v)
△NOP
Question
2
2.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
△JKL
≅
(i)
△LIJ
(ii)
△IJK
(iii)
△IJM
(iv)
△KLI
(v)
△KLM
Question
3
3.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△GHE
≅
(i)
△EFG
(ii)
△EFI
(iii)
△GHI
(iv)
△FGH
(v)
△HEF
Question
4
4.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
△MNO
≅
(i)
△NOP
(ii)
△OPM
(iii)
△OPQ
(iv)
△MNQ
(v)
△PMN
Question
5
5.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△ROP
≅
(i)
△SOP
(ii)
△QRO
(iii)
△PQR
(iv)
△OPQ
Question
6
6.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△LMN
≅
(i)
△MNK
(ii)
△KLM
(iii)
△NKL
(iv)
△OKL
Question
7
7.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△DEB
≅
(i)
△CDE
(ii)
△FBC
(iii)
△EBC
(iv)
△BCD
Question
8
8.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△EFG
≅
(i)
△FGH
(ii)
△HEF
(iii)
△GHE
(iv)
△IEF
Question
9
9.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△TPQ
≇
(i)
△SPQ
(ii)
△TRQ
(iii)
△TPS
(iv)
△TRS
Question
10
10.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△SQP
≇
(i)
△ROP
(ii)
△SOR
(iii)
△SQR
(iv)
△SOP
Question
11
11.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△JHI
≇
(i)
△JFI
(ii)
△JFG
(iii)
△JHG
(iv)
△IFG
Question
12
12.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△EAD
≇
(i)
△EAB
(ii)
△ECB
(iii)
△ECD
(iv)
△DAB
Question
13
13.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
△JKH
≅
(i)
△KIJ
(ii)
△KIH
(iii)
△LJI
(iv)
△LKH
(v)
△JIH
Question
14
14.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△PON
≅
(i)
△QON
(ii)
△QOP
(iii)
△RQN
(iv)
△RPO
(v)
△PQN
Question
15
15.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
△TSP
≅
(i)
△SQR
(ii)
△SQP
(iii)
△TRQ
(iv)
△TRS
(v)
△TQP
Question
16
16.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
△TQP
≅
(i)
△TSP
(ii)
△TRS
(iii)
△TRQ
(iv)
△SQP
(v)
△SQR
Question
17
17.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△OMN
≅
(i)
△ONK
(ii)
△NLM
(iii)
△NLK
(iv)
△OLK
(v)
△OML
Question
18
18.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△RPO
≅
(i)
△RPQ
(ii)
△QON
(iii)
△RQN
(iv)
△RON
(v)
△QOP
Question
19
19.
Which of the following are true?
a)
Any two squares are congruent.
b)
Any two triangles are similar.
c)
Any two circles are similar.
d)
Any two triangles are congruent.
e)
Any two squares are similar.
f)
Any two circles are congruent.
(i)
{d,f,c}
(ii)
{a,c}
(iii)
{c,e}
(iv)
{a,e,c}
(v)
{b,e}
Question
20
20.
Which of the following are true?
a)
A sector is a polygonal region.
b)
A semi-circle is a polygonal region.
c)
A square is a polygonal region.
d)
A triangle is a polygonal region.
e)
A circle is a polygonal region.
(i)
{e,a,c}
(ii)
{b,d,c}
(iii)
{b,d}
(iv)
{c,d}
(v)
{a,c}
Question
21
21.
Which of the following are true?
a)
Similar figures have same area.
b)
Similar and congruent are not synonymous.
c)
If two figures are similar, then they are congruent too.
d)
If two figures are congruent, then they are similar too.
e)
Congruent figures have same area.
(i)
{a,b,d}
(ii)
{a,c,e}
(iii)
{a,b}
(iv)
{b,d,e}
(v)
{c,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)
△NJL ≅ △INM
b)
△INM ≅ △MLK
c)
△NJL ≅ △LMN
d)
△INM ≅ △LMN
e)
△INM ≅ △LNM
(i)
{a,b,c,d}
(ii)
{e,d,a}
(iii)
{e,b}
(iv)
{e,c}
(v)
{e,a}
Question
23
23.
In the given figure, which of the following is true?
(i)
△BCD ≅ △UVT
(ii)
△CDB ≅ △TUV
(iii)
△BCD ≅ △VUT
(iv)
△BCD ≅ △TUV
(v)
△BCD ≅ △VTU
Question
24
24.
In the given figure, △CDE ≅ △TSR. Which of the following are true?
a)
DE = TS
b)
∠C = ∠R
c)
∠D = ∠S
d)
DE = SR
e)
∠E = ∠R
(i)
{b,d}
(ii)
{a,b,e}
(iii)
{c,d,e}
(iv)
{a,c,d}
(v)
{a,c}
Question
25
25.
In the given figure, △DEF ≅ △VUT. Which of the following are true?
a)
∠V = 69°
b)
∠T = 61°
c)
∠T = 49°
d)
∠U = 61°
e)
∠U = 69°
f)
∠V = 49°
(i)
{a,b}
(ii)
{b,e,f}
(iii)
{d,a,f}
(iv)
{c,b,e}
(v)
{c,e}
Question
26
26.
In the given figure, △CDE ≅ △RST. Which of the following are true?
a)
RS = 12 cm
b)
RS = 13 cm
c)
TR = 12 cm
d)
TR = 14 cm
e)
ST = 13 cm
f)
ST = 12 cm
(i)
{b,a}
(ii)
{c,d}
(iii)
{c,a,d}
(iv)
{f,b,e}
(v)
{a,d,e}
Question
27
27.
In the given figure, which of the following is true?
(i)
△HJK ≅ △HJI
(ii)
△HJK ≅ △JHI
(iii)
△HJK ≅ △HIJ
(iv)
△HKJ ≅ △IJH
(v)
△HKJ ≅ △HIJ
Question
28
28.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 1
(ii)
fig 2
(iii)
fig 4
(iv)
fig 3
Question
29
29.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 2
(iii)
fig 1
(iv)
fig 4
Question
30
30.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 2
(iii)
fig 1
(iv)
fig 4
Assignment Key
1) (iii)
2) (i)
3) (i)
4) (ii)
5) (iii)
6) (iii)
7) (iv)
8) (iii)
9) (i)
10) (i)
11) (iv)
12) (iv)
13) (v)
14) (v)
15) (v)
16) (i)
17) (v)
18) (i)
19) (iii)
20) (iv)
21) (iv)
22) (i)
23) (iv)
24) (iii)
25) (ii)
26) (v)
27) (ii)
28) (iii)
29) (iii)
30) (i)
