EduSahara™ Assignment
Name : Triangles Congruency Miscellaneous
Chapter : Triangles
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
△GDE
≅
(i)
△DEH
(ii)
△DEF
(iii)
△FGH
(iv)
△EFG
(v)
△FGD
Question
2
2.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
△CDE
≅
(i)
△BCD
(ii)
△DEF
(iii)
△DEB
(iv)
△EBC
(v)
△BCF
Question
3
3.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
△OPM
≅
(i)
△NOP
(ii)
△MNQ
(iii)
△PMN
(iv)
△MNO
(v)
△OPQ
Question
4
4.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△EFG
≅
(i)
△EFI
(ii)
△GHI
(iii)
△GHE
(iv)
△HEF
(v)
△FGH
Question
5
5.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△ROP
≅
(i)
△QRO
(ii)
△SOP
(iii)
△OPQ
(iv)
△PQR
Question
6
6.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△CDE
≅
(i)
△EBC
(ii)
△FBC
(iii)
△BCD
(iv)
△DEB
Question
7
7.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△GHE
≅
(i)
△EFG
(ii)
△HEF
(iii)
△FGH
(iv)
△IEF
Question
8
8.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△CDE
≅
(i)
△GCD
(ii)
△FCD
(iii)
△EFC
(iv)
△DEF
Question
9
9.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△EAB
≇
(i)
△EAD
(ii)
△ECD
(iii)
△ECB
(iv)
△DAB
Question
10
10.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△TRQ
≇
(i)
△TPQ
(ii)
△SPQ
(iii)
△TPS
(iv)
△TRS
Question
11
11.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△OMN
≇
(i)
△OKL
(ii)
△OML
(iii)
△OKN
(iv)
△NKL
Question
12
12.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△SOR
≇
(i)
△SQP
(ii)
△SOP
(iii)
△ROP
(iv)
△SQR
Question
13
13.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
△GHE
≅
(i)
△GFE
(ii)
△HFG
(iii)
△IGF
(iv)
△HFE
(v)
△IHE
Question
14
14.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△ONM
≅
(i)
△PNO
(ii)
△QON
(iii)
△QPM
(iv)
△OPM
(v)
△PNM
Question
15
15.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
△LKH
≅
(i)
△KIH
(ii)
△KIJ
(iii)
△LJI
(iv)
△LJK
(v)
△LIH
Question
16
16.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△KHG
≅
(i)
△KIJ
(ii)
△KJG
(iii)
△JHI
(iv)
△JHG
(v)
△KIH
Question
17
17.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△FDE
≅
(i)
△FDC
(ii)
△ECD
(iii)
△ECB
(iv)
△FCB
(v)
△FEB
Question
18
18.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
△IGF
≅
(i)
△IFE
(ii)
△IGH
(iii)
△HFE
(iv)
△IHE
(v)
△HFG
Question
19
19.
Which of the following are true?
a)
Any two circles are similar.
b)
Any two circles are congruent.
c)
Any two triangles are congruent.
d)
Any two triangles are similar.
e)
Any two squares are congruent.
f)
Any two squares are similar.
(i)
{d,e,a}
(ii)
{b,f,a}
(iii)
{c,f}
(iv)
{b,a}
(v)
{a,f}
Question
20
20.
Which of the following are true?
a)
A square is a polygonal region.
b)
A sector is a polygonal region.
c)
A semi-circle is a polygonal region.
d)
A triangle is a polygonal region.
e)
A circle is a polygonal region.
(i)
{e,b,a}
(ii)
{c,d}
(iii)
{c,d,a}
(iv)
{a,d}
(v)
{b,a}
Question
21
21.
Which of the following are true?
a)
If two figures are congruent, then they are similar too.
b)
Similar figures have same area.
c)
Similar and congruent are not synonymous.
d)
Congruent figures have same area.
e)
If two figures are similar, then they are congruent too.
(i)
{e,c}
(ii)
{b,a,c}
(iii)
{a,c,d}
(iv)
{b,e,d}
(v)
{b,a}
Question
22
22.
In the given figure, points G , H and I are the mid-points of sides EF, FD and DE of △DEF. Which of the following are true?
a)
△DIH ≅ △HGF
b)
△DIH ≅ △GIH
c)
△IEG ≅ △GHI
d)
△DIH ≅ △GHI
e)
△IEG ≅ △DIH
(i)
{b,d}
(ii)
{b,e,a}
(iii)
{b,c}
(iv)
{a,c,d,e}
(v)
{b,a}
Question
23
23.
In the given figure, which of the following is true?
(i)
△FGH ≅ △PQR
(ii)
△FGH ≅ △QRP
(iii)
△FGH ≅ △RPQ
(iv)
△FGH ≅ △RQP
(v)
△GHF ≅ △PQR
Question
24
24.
In the given figure, △CDE ≅ △RQP. Which of the following are true?
a)
∠D = ∠Q
b)
∠E = ∠P
c)
DE = QP
d)
DE = RQ
e)
∠C = ∠P
(i)
{d,e,c}
(ii)
{d,a}
(iii)
{e,b}
(iv)
{d,a,b}
(v)
{a,b,c}
Question
25
25.
In the given figure, △EFG ≅ △UTS. Which of the following are true?
a)
∠U = 67°
b)
∠S = 53°
c)
∠T = 67°
d)
∠T = 59°
e)
∠S = 59°
f)
∠U = 53°
(i)
{a,c}
(ii)
{d,a,f}
(iii)
{b,c,e}
(iv)
{b,e}
(v)
{c,e,f}
Question
26
26.
In the given figure, △BCD ≅ △QRS. Which of the following are true?
a)
QR = 15 cm
b)
SQ = 11 cm
c)
RS = 15 cm
d)
RS = 16 cm
e)
QR = 16 cm
f)
SQ = 15 cm
(i)
{e,a,b}
(ii)
{a,b,d}
(iii)
{f,c,d}
(iv)
{c,a}
(v)
{e,b}
Question
27
27.
In the given figure, which of the following is true?
(i)
△LNO ≅ △LMN
(ii)
△LNO ≅ △LNM
(iii)
△LON ≅ △LMN
(iv)
△LNO ≅ △NLM
(v)
△LON ≅ △MNL
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 2
(ii)
fig 1
(iii)
fig 3
(iv)
fig 4
Question
30
30.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 3
(iii)
fig 4
(iv)
fig 1
Assignment Key
1) (iv)
2) (iv)
3) (iv)
4) (iii)
5) (iv)
6) (i)
7) (i)
8) (iii)
9) (iv)
10) (ii)
11) (iv)
12) (iii)
13) (i)
14) (iv)
15) (v)
16) (ii)
17) (i)
18) (ii)
19) (v)
20) (iv)
21) (iii)
22) (iv)
23) (i)
24) (v)
25) (v)
26) (ii)
27) (iv)
28) (ii)
29) (i)
30) (iv)
