EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Triangles
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△QPM
≅
(i)
△PNO
(ii)
△QNM
(iii)
△QON
(iv)
△QOP
(v)
△PNM
Question
2
2.
With the data in the given figure, △QJK ≅ △RKJ by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
3
3.
In the given figure, △EFG ≅ △UTS. Which of the following are true?
a)
FG = UT
b)
∠E = ∠S
c)
∠F = ∠T
d)
∠G = ∠S
e)
FG = TS
(i)
{a,b,e}
(ii)
{c,d,e}
(iii)
{a,c}
(iv)
{b,d}
(v)
{a,c,d}
Question
4
4.
In the given figure, △DEF ≅ △SRQ. Which of the following are true?
a)
∠R = 59°
b)
∠R = 79°
c)
∠Q = 59°
d)
∠S = 42°
e)
∠Q = 42°
f)
∠S = 79°
(i)
{a,b}
(ii)
{f,a,d}
(iii)
{b,c,d}
(iv)
{e,b,c}
(v)
{e,c}
Question
5
5.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
△PQN
≅
(i)
△PQR
(ii)
△NOP
(iii)
△NOR
(iv)
△OPQ
(v)
△QNO
Question
6
6.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△QON
≇
(i)
△QMN
(ii)
△QMP
(iii)
△QOP
(iv)
△PMN
Question
7
7.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 4
(iii)
fig 1
(iv)
fig 3
Question
8
8.
With the data in the given figure, △OPR ≅ △POQ by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
9
9.
With the data in the figure, △HIK ≅ △IHJ by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
10
10.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△JHG
≅
(i)
△JHI
(ii)
△IGF
(iii)
△IGH
(iv)
△JGF
(v)
△JIF
Question
11
11.
With the data in the figure, △JMK ≅ △JML by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
12
12.
In the given figure, △ABC is an obtuse angled triangle. △ABD ≅ △CBD by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
13
13.
With the data in the figure, △KLO ≅ △KMP by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
14
14.
With the data in the figure, △EIH ≅ △FIG by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
15
15.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△KLM
≅
(i)
△MJK
(ii)
△JKL
(iii)
△NJK
(iv)
△LMJ
Question
16
16.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△HIF
≅
(i)
△FGH
(ii)
△GHI
(iii)
△IFG
(iv)
△JFG
Question
17
17.
With the data in the given figure, △DOE ≅ △DOF by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
18
18.
With the data in the figure, △GOH ≅ △IOJ by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
19
19.
Identify the property by which the two given triangles are congruent
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
Question
20
20.
With the data in the given figure, △NPO ≅ △OQN by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
21
21.
With the data in the given figure, △MNP ≅ △ONP by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
22
22.
With the given data in the figure, △CDE ≅ △EFC by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
23
23.
In the given figure, points O , P and Q are the mid-points of sides MN, NL and LM of △LMN. Which of the following are true?
a)
△QMO ≅ △LQP
b)
△LQP ≅ △OQP
c)
△LQP ≅ △PON
d)
△LQP ≅ △OPQ
e)
△QMO ≅ △OPQ
(i)
{b,c}
(ii)
{b,a}
(iii)
{b,e,a}
(iv)
{b,d}
(v)
{a,c,d,e}
Question
24
24.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△IHG
≅
(i)
△JHI
(ii)
△KJG
(iii)
△IJG
(iv)
△KIH
(v)
△JHG
Question
25
25.
With the data in the figure, △DOE ≅ △FOG by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Assignment Key
1) (ii)
2) (ii)
3) (ii)
4) (iii)
5) (ii)
6) (iv)
7) (iv)
8) (ii)
9) (i)
10) (i)
11) (i)
12) (iv)
13) (iii)
14) (iii)
15) (i)
16) (i)
17) (ii)
18) (iii)
19) (iv)
20) (ii)
21) (iii)
22) (ii)
23) (v)
24) (iii)
25) (i)
