EduSahara™ Assignment
Name : Congruence of Triangles
Chapter : Triangles
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
Question
2
2.
Identify the property by which the two given triangles are congruent
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
Question
3
3.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
Question
4
4.
Identify the property by which the two given triangles are congruent
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
Question
5
5.
Which of the following are true?
a)
Any two squares are similar.
b)
Any two circles are similar.
c)
Any two triangles are congruent.
d)
Any two circles are congruent.
e)
Any two squares are congruent.
f)
Any two triangles are similar.
(i)
{e,f,a}
(ii)
{d,b}
(iii)
{a,b}
(iv)
{c,a}
(v)
{c,b,a}
Question
6
6.
Which of the following are true?
a)
A circle is a polygonal region.
b)
A triangle is a polygonal region.
c)
A sector is a polygonal region.
d)
A square is a polygonal region.
e)
A semi-circle is a polygonal region.
(i)
{e,a,b}
(ii)
{c,d}
(iii)
{a,b}
(iv)
{b,d}
(v)
{c,d,b}
Question
7
7.
Which of the following are true?
a)
Similar figures have same area.
b)
Congruent figures have same area.
c)
If two figures are congruent, then they are similar too.
d)
Similar and congruent are not synonymous.
e)
If two figures are similar, then they are congruent too.
(i)
{b,c,d}
(ii)
{e,c}
(iii)
{a,b,c}
(iv)
{a,e,d}
(v)
{a,b}
Question
8
8.
Which of the following are true?
a)
Area of the union of two polygonal region is the sum of the individual area.
b)
A polygonal region can be divided into a finite number of triangles in a unique way.
c)
Area of a convex polygonal region is equal to the sum of the areas of all triangles formed by joining the vertices of the polygon with an interior point.
d)
Area of the union of two polygonal region is not equal to the sum of the individual area.
(i)
{a,b,c}
(ii)
{b,d}
(iii)
{a,d,c}
(iv)
{a,c}
(v)
{c,d}
Question
9
9.
In the given figure, points M , N and O are the mid-points of sides KL, LJ and JK of △JKL. Which of the following are true?
a)
Area of
△JKL
=
1
3
area of
△MNO
b)
All four small triangles have equal areas
c)
Area of trapezium KLNO is thrice the area of △JON
d)
Area of △JKL = 4 times area of △MNO
e)
Area of trapezium
KLNO
is
1
4
the area of
△JKL
(i)
{a,b,c}
(ii)
{a,e,d}
(iii)
{e,c}
(iv)
{b,c,d}
(v)
{a,b}
Question
10
10.
In the given figure, points E , F and G are the mid-points of sides CD, DB and BC of △BCD. Which of the following are true?
a)
△GCE ≅ △EFG
b)
△BGF ≅ △EFG
c)
△BGF ≅ △EGF
d)
△GCE ≅ △BGF
e)
△BGF ≅ △FED
(i)
{c,a}
(ii)
{c,b}
(iii)
{c,d}
(iv)
{c,e,a}
(v)
{a,b,d,e}
Question
11
11.
In the given figure, which of the following is true?
(i)
△CDE ≅ △RSQ
(ii)
△CDE ≅ △SRQ
(iii)
△CDE ≅ △SQR
(iv)
△DEC ≅ △QRS
(v)
△CDE ≅ △QRS
Question
12
12.
In the given figure, △EFG ≅ △RQP. Which of the following are true?
a)
FG = QP
b)
∠G = ∠P
c)
∠F = ∠Q
d)
FG = RQ
e)
∠E = ∠P
(i)
{e,b}
(ii)
{d,a,b}
(iii)
{a,b,c}
(iv)
{d,e,c}
(v)
{d,a}
Question
13
13.
In the given figure, △CDE ≅ △RQP. Which of the following are true?
a)
∠Q = 59°
b)
∠P = 69°
c)
∠Q = 52°
d)
∠R = 59°
e)
∠P = 52°
f)
∠R = 69°
(i)
{a,e,f}
(ii)
{b,a}
(iii)
{c,e}
(iv)
{d,b,f}
(v)
{c,a,e}
Question
14
14.
In the given figure, △EFG ≅ △STU. Which of the following are true?
a)
US = 16 cm
b)
US = 15 cm
c)
TU = 16 cm
d)
TU = 13 cm
e)
ST = 16 cm
f)
ST = 13 cm
(i)
{c,d}
(ii)
{f,a,e}
(iii)
{a,b}
(iv)
{c,b,d}
(v)
{b,d,e}
Question
15
15.
In the given figure, which of the following is true?
(i)
△CFE ≅ △DEC
(ii)
△CEF ≅ △ECD
(iii)
△CFE ≅ △CDE
(iv)
△CEF ≅ △CDE
(v)
△CEF ≅ △CED
Question
16
16.
With the data in the given figure, △FGI ≅ △FHI by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
RHS Congruency
Question
17
17.
With the data in the given figure, △OIH ≅ △OGF by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
18
18.
With the given data in the figure, △IHK ≅ △JGK by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
19
19.
With the given data in the figure, △ABC ≅ △CDA by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
20
20.
With the given data in the figure, △DEF ≅ △GFE by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
RHS Congruency
Question
21
21.
With the given data in the figure, △QHI ≅ △PIH by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
22
22.
With the data in the given figure, △DGO ≅ △EFO by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
23
23.
With the data in the given figure, △DGF ≅ △DEF by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
24
24.
With the data in the given figure, △UPQ ≅ △TQP by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
25
25.
With the data in the given figure, △QDE ≅ △RED by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
26
26.
In the given figure, △JHI is an isosceles triangle. GK ⟂ HI passing through J. △GJH ≅ △GJI by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
27
27.
In the given figure, IJKL is a square and △QIJ is an equilateral triangle. △QLI ≅ △QKJ by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
28
28.
With the data in the given figure, △HIK ≅ △HJL by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
29
29.
With the data in the given figure, △FIG ≅ △FIH by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
30
30.
With the data in the given figure, △KML ≅ △LNK by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
31
31.
With the data in the given figure, △HIL ≅ △HJK by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
32
32.
In the given figure, △LMN is an obtuse angled triangle. △LMO ≅ △NMO by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
33
33.
With the data in the given figure, △DOE ≅ △DOF by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
34
34.
With the data in the figure, △JMK ≅ △LMK by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
35
35.
With the data in the figure, △LOM ≅ △LON by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
36
36.
With the data in the figure, △DGE ≅ △FGE by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
RHS Congruency
Question
37
37.
With the data in the figure, △LMO ≅ △LNO by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
SAS Congruency
Question
38
38.
With the data in the figure, △KNL ≅ △LMK by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
39
39.
With the data in the figure, △ILJ ≅ △ILK by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
40
40.
With the data in the figure, △HOI ≅ △KOJ by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
41
41.
With the data in the figure, △HIK ≅ △IHJ by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
42
42.
With the data in the figure, △EGH ≅ △GEF by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
43
43.
With the data in the figure, △BEC ≅ △BED by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
44
44.
With the data in the figure, △CFD ≅ △DEC by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
45
45.
With the data in the figure, △FOG ≅ △HOI by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
46
46.
With the data in the figure, △EOF ≅ △GOH by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
47
47.
With the data in the figure, △HIK ≅ △IHJ by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
48
48.
With the data in the figure, △EFH ≅ △IGH by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
49
49.
With the data in the figure, △FGI ≅ △HGI by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
50
50.
With the data in the figure, △KLO ≅ △LKP by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
51
51.
With the data in the figure, △FHI ≅ △FHG by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
52
52.
With the data in the figure, △IML ≅ △JMK by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
53
53.
With the data in the figure, △LMP ≅ △LNQ by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
54
54.
With the data in the given figure, △OPR ≅ △QPR by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
55
55.
With the data in the given figure, △OPR ≅ △POQ by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
56
56.
With the data in the given figure, △PQS ≅ △RSQ by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
57
57.
With the data in the given figure, △LMO ≅ △NMO by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
58
58.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 4
(iii)
fig 1
(iv)
fig 2
Question
59
59.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 1
(iii)
fig 3
(iv)
fig 2
Question
60
60.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 4
(iii)
fig 1
(iv)
fig 3
Assignment Key
1) (i)
2) (iii)
3) (iii)
4) (i)
5) (iii)
6) (iv)
7) (i)
8) (v)
9) (iv)
10) (v)
11) (v)
12) (iii)
13) (i)
14) (v)
15) (ii)
16) (v)
17) (iv)
18) (iv)
19) (iv)
20) (i)
21) (i)
22) (ii)
23) (iii)
24) (i)
25) (iii)
26) (iii)
27) (v)
28) (iii)
29) (iv)
30) (i)
31) (ii)
32) (iii)
33) (iii)
34) (i)
35) (iv)
36) (iii)
37) (iii)
38) (ii)
39) (iv)
40) (i)
41) (ii)
42) (ii)
43) (v)
44) (i)
45) (ii)
46) (ii)
47) (ii)
48) (v)
49) (iii)
50) (i)
51) (v)
52) (iii)
53) (v)
54) (i)
55) (i)
56) (v)
57) (i)
58) (iii)
59) (i)
60) (ii)
