EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Triangles
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
In the given figure, △BCD ≅ △RST. Which of the following are true?
a)
RS = 12 cm
b)
ST = 11 cm
c)
TR = 14 cm
d)
ST = 12 cm
e)
TR = 11 cm
f)
RS = 11 cm
(i)
{b,c,d}
(ii)
{e,a,f}
(iii)
{b,d}
(iv)
{a,c}
(v)
{c,d,f}
Question
2
2.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△IJK
≅
(i)
△HIJ
(ii)
△LHI
(iii)
△JKH
(iv)
△KHI
Question
3
3.
With the data in the given figure, △JKM ≅ △JLM by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
4
4.
With the data in the given figure, △KLO ≅ △KMN by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
5
5.
With the data in the figure, △LMO ≅ △NMO by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
6
6.
With the data in the figure, △CFD ≅ △CFE by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
7
7.
With the data in the figure, △LMO ≅ △LNO by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
8
8.
With the given data in the figure, △BCD ≅ △EDC by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
9
9.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△GFC
≅
(i)
△FDC
(ii)
△FDE
(iii)
△GDC
(iv)
△GEF
(v)
△GED
Question
10
10.
With the data in the figure, △ADB ≅ △CDB by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
11
11.
With the data in the given figure, △GJI ≅ △GHI by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
12
12.
In the given figure, △FGH ≅ △SRQ. Which of the following are true?
a)
∠R = 56°
b)
∠S = 56°
c)
∠S = 49°
d)
∠Q = 75°
e)
∠Q = 49°
f)
∠R = 75°
(i)
{e,c}
(ii)
{b,a}
(iii)
{a,c,d}
(iv)
{e,a,c}
(v)
{f,b,d}
Question
13
13.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
△LMJ
≅
(i)
△JKL
(ii)
△KLM
(iii)
△LMN
(iv)
△JKN
(v)
△MJK
Question
14
14.
In the given figure, points I , J and K are the mid-points of sides GH, HF and FG of △FGH. Which of the following are true?
a)
△FKJ ≅ △IKJ
b)
△KGI ≅ △FKJ
c)
△FKJ ≅ △IJK
d)
△KGI ≅ △IJK
e)
△FKJ ≅ △JIH
(i)
{a,e,b}
(ii)
{a,b}
(iii)
{a,d}
(iv)
{a,c}
(v)
{b,c,d,e}
Question
15
15.
Identify the property by which the two given triangles are congruent
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
Question
16
16.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 1
(ii)
fig 4
(iii)
fig 2
(iv)
fig 3
Question
17
17.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
△TQP
≅
(i)
△TSP
(ii)
△SQP
(iii)
△SQR
(iv)
△TRQ
(v)
△TRS
Question
18
18.
With the given data in the figure, △UDE ≅ △TED by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
19
19.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△EFC
≅
(i)
△GED
(ii)
△FDC
(iii)
△EDC
(iv)
△GFC
(v)
△FDE
Question
20
20.
Identify the property by which the two given triangles are congruent
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
Question
21
21.
With the data in the figure, △AOB ≅ △DOC by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
22
22.
With the data in the given figure, △PQS ≅ △RQS by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
23
23.
With the data in the given figure, △GJH ≅ △GJI by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
24
24.
With the data in the figure, △HKI ≅ △IJH by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
25
25.
With the data in the figure, △GOH ≅ △IOJ by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
ASA Congruency
Assignment Key
1) (v)
2) (iv)
3) (i)
4) (i)
5) (ii)
6) (i)
7) (v)
8) (v)
9) (iii)
10) (v)
11) (iii)
12) (iii)
13) (i)
14) (v)
15) (iv)
16) (iii)
17) (i)
18) (v)
19) (iii)
20) (ii)
21) (iii)
22) (iv)
23) (ii)
24) (v)
25) (iv)
