EduSahara™ Assignment
Name : Triangles Congruency Miscellaneous
Chapter : Triangles
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
△MJK
≅
(i)
△LMN
(ii)
△JKN
(iii)
△LMJ
(iv)
△KLM
(v)
△JKL
Question
2
2.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△PQR
≅
(i)
△QRS
(ii)
△OPS
(iii)
△ROP
(iv)
△QRO
(v)
△OPQ
Question
3
3.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
△DEB
≅
(i)
△EBC
(ii)
△BCD
(iii)
△CDE
(iv)
△BCF
(v)
△DEF
Question
4
4.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
△PQR
≅
(i)
△QRS
(ii)
△RSP
(iii)
△RST
(iv)
△PQT
(v)
△SPQ
Question
5
5.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△QNO
≅
(i)
△RNO
(ii)
△PQN
(iii)
△NOP
(iv)
△OPQ
Question
6
6.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△HIJ
≅
(i)
△IJG
(ii)
△GHI
(iii)
△JGH
(iv)
△KGH
Question
7
7.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△RSP
≅
(i)
△QRS
(ii)
△TPQ
(iii)
△PQR
(iv)
△SPQ
Question
8
8.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△BCD
≅
(i)
△DEB
(ii)
△EBC
(iii)
△CDE
(iv)
△FBC
Question
9
9.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△TPQ
≇
(i)
△TRQ
(ii)
△TPS
(iii)
△TRS
(iv)
△SPQ
Question
10
10.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△PNM
≇
(i)
△PLM
(ii)
△PNO
(iii)
△OLM
(iv)
△PLO
Question
11
11.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△HFG
≇
(i)
△GDE
(ii)
△HDG
(iii)
△HFE
(iv)
△HDE
Question
12
12.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△MIL
≇
(i)
△MKJ
(ii)
△MKL
(iii)
△MIJ
(iv)
△LIJ
Question
13
13.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
△CDA
≅
(i)
△CBA
(ii)
△ECB
(iii)
△DBC
(iv)
△EDA
(v)
△DBA
Question
14
14.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△KJI
≅
(i)
△LJK
(ii)
△MLI
(iii)
△MKJ
(iv)
△KLI
(v)
△LJI
Question
15
15.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△GFC
≅
(i)
△GDC
(ii)
△GEF
(iii)
△GED
(iv)
△FDE
(v)
△FDC
Question
16
16.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△OLK
≅
(i)
△ONK
(ii)
△OMN
(iii)
△OML
(iv)
△NLK
(v)
△NLM
Question
17
17.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
△NLM
≅
(i)
△NKJ
(ii)
△NLK
(iii)
△MKJ
(iv)
△NMJ
(v)
△MKL
Question
18
18.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△RPO
≅
(i)
△RQN
(ii)
△QOP
(iii)
△RPQ
(iv)
△RON
(v)
△QON
Question
19
19.
Which of the following are true?
a)
Any two triangles are congruent.
b)
Any two squares are congruent.
c)
Any two squares are similar.
d)
Any two circles are congruent.
e)
Any two circles are similar.
f)
Any two triangles are similar.
(i)
{a,c}
(ii)
{c,e}
(iii)
{a,e,c}
(iv)
{d,f,c}
(v)
{b,e}
Question
20
20.
Which of the following are true?
a)
A semi-circle is a polygonal region.
b)
A sector is a polygonal region.
c)
A circle is a polygonal region.
d)
A square is a polygonal region.
e)
A triangle is a polygonal region.
(i)
{d,e}
(ii)
{b,e,d}
(iii)
{a,d}
(iv)
{c,a,d}
(v)
{b,e}
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)
{a,b,d}
(ii)
{e,b}
(iii)
{c,a,b}
(iv)
{c,e,d}
(v)
{c,a}
Question
22
22.
In the given figure, points H , I and J are the mid-points of sides FG, GE and EF of △EFG. Which of the following are true?
a)
△EJI ≅ △IHG
b)
△JFH ≅ △EJI
c)
△JFH ≅ △HIJ
d)
△EJI ≅ △HIJ
e)
△EJI ≅ △HJI
(i)
{e,d,a}
(ii)
{a,b,c,d}
(iii)
{e,c}
(iv)
{e,a}
(v)
{e,b}
Question
23
23.
In the given figure, which of the following is true?
(i)
△DEC ≅ △QRS
(ii)
△CDE ≅ △RSQ
(iii)
△CDE ≅ △QRS
(iv)
△CDE ≅ △SQR
(v)
△CDE ≅ △SRQ
Question
24
24.
In the given figure, △DEF ≅ △SRQ. Which of the following are true?
a)
∠E = ∠R
b)
∠F = ∠Q
c)
EF = RQ
d)
EF = SR
e)
∠D = ∠Q
(i)
{d,e,c}
(ii)
{d,a}
(iii)
{e,b}
(iv)
{a,b,c}
(v)
{d,a,b}
Question
25
25.
In the given figure, △ABC ≅ △WVU. Which of the following are true?
a)
∠W = 52°
b)
∠U = 59°
c)
∠U = 69°
d)
∠V = 69°
e)
∠V = 52°
f)
∠W = 59°
(i)
{a,c}
(ii)
{b,c,e}
(iii)
{c,e,f}
(iv)
{b,e}
(v)
{d,a,f}
Question
26
26.
In the given figure, △CDE ≅ △STU. Which of the following are true?
a)
US = 11 cm
b)
TU = 11 cm
c)
ST = 11 cm
d)
US = 13 cm
e)
ST = 12 cm
f)
TU = 12 cm
(i)
{b,d}
(ii)
{c,d,f}
(iii)
{b,c,d}
(iv)
{e,a,f}
(v)
{a,c}
Question
27
27.
In the given figure, which of the following is true?
(i)
△JLM ≅ △LJK
(ii)
△JLM ≅ △JKL
(iii)
△JML ≅ △JKL
(iv)
△JLM ≅ △JLK
(v)
△JML ≅ △KLJ
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 4
(iii)
fig 3
(iv)
fig 1
Question
30
30.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 2
(iii)
fig 4
(iv)
fig 1
Assignment Key
1) (iv)
2) (iii)
3) (ii)
4) (ii)
5) (iv)
6) (iii)
7) (iii)
8) (i)
9) (iv)
10) (iii)
11) (i)
12) (iv)
13) (i)
14) (iv)
15) (i)
16) (i)
17) (ii)
18) (iii)
19) (ii)
20) (i)
21) (i)
22) (ii)
23) (iii)
24) (iv)
25) (iii)
26) (ii)
27) (i)
28) (ii)
29) (iv)
30) (iii)
