EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Triangles
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 4
(iii)
fig 1
(iv)
fig 3
Question
2
2.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△QMN
≇
(i)
△QMP
(ii)
△PMN
(iii)
△QOP
(iv)
△QON
Question
3
3.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
△JKH
≅
(i)
△KIJ
(ii)
△LKH
(iii)
△KIH
(iv)
△LJI
(v)
△JIH
Question
4
4.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△KLM
≅
(i)
△LMN
(ii)
△NKL
(iii)
△OKL
(iv)
△MNK
Question
5
5.
With the data in the figure, △HOI ≅ △JOK by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
6
6.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
△NOL
≅
(i)
△NOP
(ii)
△OLM
(iii)
△LMP
(iv)
△MNO
(v)
△LMN
Question
7
7.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△FCB
≅
(i)
△FEB
(ii)
△FDE
(iii)
△ECD
(iv)
△FDC
(v)
△ECB
Question
8
8.
Which of the following are true?
a)
A triangle is a polygonal region.
b)
A sector is a polygonal region.
c)
A square is a polygonal region.
d)
A circle is a polygonal region.
e)
A semi-circle is a polygonal region.
(i)
{b,a}
(ii)
{d,c}
(iii)
{a,c}
(iv)
{d,c,a}
(v)
{e,b,a}
Question
9
9.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
△LJI
≅
(i)
△LKH
(ii)
△LIH
(iii)
△KIH
(iv)
△KIJ
(v)
△LJK
Question
10
10.
Identify the property by which the two given triangles are congruent
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
Question
11
11.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△ROP
≅
(i)
△OPQ
(ii)
△QRO
(iii)
△PQR
(iv)
△QRS
(v)
△OPS
Question
12
12.
With the data in the given figure, △IDE ≅ △HED by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
13
13.
With the data in the figure, △FHI ≅ △FHG by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
14
14.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
△NOP
≅
(i)
△QNO
(ii)
△OPQ
(iii)
△PQN
(iv)
△NOR
(v)
△PQR
Question
15
15.
With the data in the given figure, △LMO ≅ △NOM by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
16
16.
With the given data in the figure, △KLM ≅ △NML by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
17
17.
With the data in the figure, △FGI ≅ △GFH by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
18
18.
With the given data in the figure, △KJM ≅ △LIM by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
19
19.
In the given figure, LMNO is a square and △QLM is an equilateral triangle. △QOL ≅ △QNM by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
20
20.
With the data in the given figure, △JKM ≅ △JLN by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
21
21.
With the data in the figure, △CDG ≅ △DCH by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
22
22.
In the given figure, △HIJ is an obtuse angled triangle. △HIK ≅ △JIK by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
23
23.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
Question
24
24.
With the data in the given figure, △DFE ≅ △EGD by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
25
25.
With the given data in the figure, △CDE ≅ △EFC by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Assignment Key
1) (iii)
2) (ii)
3) (v)
4) (iv)
5) (i)
6) (v)
7) (i)
8) (iii)
9) (v)
10) (ii)
11) (iii)
12) (ii)
13) (iv)
14) (iii)
15) (iv)
16) (i)
17) (ii)
18) (ii)
19) (i)
20) (v)
21) (ii)
22) (iii)
23) (i)
24) (iv)
25) (iii)