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)
△BCD
(ii)
△CDA
(iii)
△ABE
(iv)
△CDE
(v)
△ABC
Question
2
2.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△HIJ
≅
(i)
△IJG
(ii)
△IJK
(iii)
△GHK
(iv)
△JGH
(v)
△GHI
Question
3
3.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
△JKH
≅
(i)
△HIJ
(ii)
△HIL
(iii)
△KHI
(iv)
△IJK
(v)
△JKL
Question
4
4.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△OPQ
≅
(i)
△QRO
(ii)
△OPS
(iii)
△PQR
(iv)
△QRS
(v)
△ROP
Question
5
5.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△ROP
≅
(i)
△OPQ
(ii)
△SOP
(iii)
△PQR
(iv)
△QRO
Question
6
6.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△EFG
≅
(i)
△HDE
(ii)
△GDE
(iii)
△FGD
(iv)
△DEF
Question
7
7.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△LMJ
≅
(i)
△MJK
(ii)
△NJK
(iii)
△KLM
(iv)
△JKL
Question
8
8.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△PQR
≅
(i)
△TPQ
(ii)
△SPQ
(iii)
△RSP
(iv)
△QRS
Question
9
9.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△LHI
≇
(i)
△LHK
(ii)
△KHI
(iii)
△LJI
(iv)
△LJK
Question
10
10.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△NLK
≇
(i)
△NJK
(ii)
△NLM
(iii)
△NJM
(iv)
△MJK
Question
11
11.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△HFG
≇
(i)
△HDE
(ii)
△HDG
(iii)
△HFE
(iv)
△GDE
Question
12
12.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△OKN
≇
(i)
△OKL
(ii)
△OMN
(iii)
△OML
(iv)
△NKL
Question
13
13.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△PQN
≅
(i)
△RPO
(ii)
△QOP
(iii)
△QON
(iv)
△RQN
(v)
△PON
Question
14
14.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△KJI
≅
(i)
△MLI
(ii)
△LJK
(iii)
△KLI
(iv)
△MKJ
(v)
△LJI
Question
15
15.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△RQN
≅
(i)
△RPQ
(ii)
△QOP
(iii)
△RPO
(iv)
△RON
(v)
△QON
Question
16
16.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△MJI
≅
(i)
△LJI
(ii)
△MLI
(iii)
△LJK
(iv)
△MKJ
(v)
△MKL
Question
17
17.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△QOP
≅
(i)
△PNO
(ii)
△QNM
(iii)
△QON
(iv)
△QPM
(v)
△PNM
Question
18
18.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△OML
≅
(i)
△NLM
(ii)
△OMN
(iii)
△NLK
(iv)
△ONK
(v)
△OLK
Question
19
19.
Which of the following are true?
a)
Any two squares are similar.
b)
Any two triangles are similar.
c)
Any two circles are similar.
d)
Any two triangles are congruent.
e)
Any two squares are congruent.
f)
Any two circles are congruent.
(i)
{b,a}
(ii)
{e,f,a}
(iii)
{b,c,a}
(iv)
{a,c}
(v)
{d,c}
Question
20
20.
Which of the following are true?
a)
A semi-circle is a polygonal region.
b)
A circle is a polygonal region.
c)
A square is a polygonal region.
d)
A triangle is a polygonal region.
e)
A sector is a polygonal region.
(i)
{c,d}
(ii)
{b,d}
(iii)
{b,d,c}
(iv)
{e,a,c}
(v)
{a,c}
Question
21
21.
Which of the following are true?
a)
Similar and congruent are not synonymous.
b)
Similar figures have same area.
c)
Congruent figures have same area.
d)
If two figures are similar, then they are congruent too.
e)
If two figures are congruent, then they are similar too.
(i)
{b,d,e}
(ii)
{d,c}
(iii)
{b,a,c}
(iv)
{a,c,e}
(v)
{b,a}
Question
22
22.
In the given figure, points D , E and F are the mid-points of sides BC, CA and AB of △ABC. Which of the following are true?
a)
△AFE ≅ △EDC
b)
△AFE ≅ △DEF
c)
△FBD ≅ △AFE
d)
△AFE ≅ △DFE
e)
△FBD ≅ △DEF
(i)
{a,b,c,e}
(ii)
{d,c}
(iii)
{d,b}
(iv)
{d,e,a}
(v)
{d,a}
Question
23
23.
In the given figure, which of the following is true?
(i)
△CDE ≅ △STR
(ii)
△CDE ≅ △TSR
(iii)
△CDE ≅ △TRS
(iv)
△CDE ≅ △RST
(v)
△DEC ≅ △RST
Question
24
24.
In the given figure, △EFG ≅ △TSR. Which of the following are true?
a)
∠E = ∠R
b)
FG = TS
c)
∠G = ∠R
d)
FG = SR
e)
∠F = ∠S
(i)
{a,b,e}
(ii)
{b,d}
(iii)
{a,c,d}
(iv)
{c,d,e}
(v)
{a,c}
Question
25
25.
In the given figure, △EFG ≅ △RQP. Which of the following are true?
a)
∠P = 74°
b)
∠P = 50°
c)
∠Q = 56°
d)
∠R = 74°
e)
∠Q = 50°
f)
∠R = 56°
(i)
{a,b}
(ii)
{b,c,d}
(iii)
{f,a,d}
(iv)
{e,b,c}
(v)
{e,c}
Question
26
26.
In the given figure, △DEF ≅ △QRS. Which of the following are true?
a)
RS = 16 cm
b)
QR = 16 cm
c)
RS = 15 cm
d)
SQ = 15 cm
e)
SQ = 12 cm
f)
QR = 15 cm
(i)
{c,a,e}
(ii)
{a,e,f}
(iii)
{d,b,f}
(iv)
{c,e}
(v)
{b,a}
Question
27
27.
In the given figure, which of the following is true?
(i)
△HJK ≅ △JHI
(ii)
△HJK ≅ △HJI
(iii)
△HKJ ≅ △IJH
(iv)
△HKJ ≅ △HIJ
(v)
△HJK ≅ △HIJ
Question
28
28.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 3
(iii)
fig 1
(iv)
fig 2
Question
29
29.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 2
(iii)
fig 1
(iv)
fig 3
Question
30
30.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 1
(iii)
fig 2
(iv)
fig 3
Assignment Key
1) (i)
2) (iv)
3) (i)
4) (i)
5) (iii)
6) (ii)
7) (iv)
8) (iii)
9) (ii)
10) (iv)
11) (iv)
12) (iv)
13) (v)
14) (iii)
15) (iv)
16) (ii)
17) (iii)
18) (ii)
19) (iv)
20) (i)
21) (iv)
22) (i)
23) (iv)
24) (iv)
25) (ii)
26) (ii)
27) (i)
28) (ii)
29) (ii)
30) (i)
