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)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
Question
3
3.
Identify the property by which the two given triangles are congruent
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
Question
4
4.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
Question
5
5.
Which of the following are true?
a)
Any two circles are similar.
b)
Any two triangles are similar.
c)
Any two squares are congruent.
d)
Any two circles are congruent.
e)
Any two triangles are congruent.
f)
Any two squares are similar.
(i)
{c,f}
(ii)
{b,a}
(iii)
{b,f,a}
(iv)
{a,f}
(v)
{d,e,a}
Question
6
6.
Which of the following are true?
a)
A semi-circle is a polygonal region.
b)
A square is a polygonal region.
c)
A circle is a polygonal region.
d)
A sector is a polygonal region.
e)
A triangle is a polygonal region.
(i)
{a,b}
(ii)
{d,a,b}
(iii)
{b,e}
(iv)
{c,e,b}
(v)
{c,e}
Question
7
7.
Which of the following are true?
a)
If two figures are similar, then they are congruent too.
b)
Similar and congruent are not synonymous.
c)
If two figures are congruent, then they are similar too.
d)
Similar figures have same area.
e)
Congruent figures have same area.
(i)
{a,b,c}
(ii)
{a,b}
(iii)
{b,c,e}
(iv)
{a,d,e}
(v)
{d,c}
Question
8
8.
Which of the following are true?
a)
Area of the union of two polygonal region is not equal to the sum of the individual area.
b)
Area of the union of two polygonal region is the sum of the individual area.
c)
A polygonal region can be divided into a finite number of triangles in a unique way.
d)
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.
(i)
{b,d,a}
(ii)
{a,d}
(iii)
{b,a}
(iv)
{b,c,a}
(v)
{c,d}
Question
9
9.
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)
All four small triangles have equal areas
b)
Area of △FGH = 4 times area of △IJK
c)
Area of trapezium
GHJK
is
1
4
the area of
△FGH
d)
Area of trapezium GHJK is thrice the area of △FKJ
e)
Area of
△FGH
=
1
3
area of
△IJK
(i)
{e,b}
(ii)
{c,a}
(iii)
{c,e,d}
(iv)
{c,a,b}
(v)
{a,b,d}
Question
10
10.
In the given figure, points F , G and H are the mid-points of sides DE, EC and CD of △CDE. Which of the following are true?
a)
△HDF ≅ △CHG
b)
△CHG ≅ △FGH
c)
△HDF ≅ △FGH
d)
△CHG ≅ △GFE
e)
△CHG ≅ △FHG
(i)
{e,d,a}
(ii)
{e,b}
(iii)
{a,b,c,d}
(iv)
{e,a}
(v)
{e,c}
Question
11
11.
In the given figure, which of the following is true?
(i)
△ABC ≅ △UVW
(ii)
△ABC ≅ △WUV
(iii)
△BCA ≅ △UVW
(iv)
△ABC ≅ △VWU
(v)
△ABC ≅ △WVU
Question
12
12.
In the given figure, △CDE ≅ △VUT. Which of the following are true?
a)
∠D = ∠U
b)
DE = VU
c)
∠C = ∠T
d)
∠E = ∠T
e)
DE = UT
(i)
{b,a}
(ii)
{b,c,e}
(iii)
{c,d}
(iv)
{b,a,d}
(v)
{a,d,e}
Question
13
13.
In the given figure, △CDE ≅ △RQP. Which of the following are true?
a)
∠R = 67°
b)
∠Q = 59°
c)
∠R = 53°
d)
∠Q = 53°
e)
∠P = 67°
f)
∠P = 59°
(i)
{c,a,d}
(ii)
{a,d,f}
(iii)
{b,a}
(iv)
{e,b,f}
(v)
{c,d}
Question
14
14.
In the given figure, △ABC ≅ △QRS. Which of the following are true?
a)
SQ = 11 cm
b)
RS = 16 cm
c)
QR = 16 cm
d)
QR = 15 cm
e)
SQ = 15 cm
f)
RS = 15 cm
(i)
{e,b}
(ii)
{e,a,b}
(iii)
{f,c,d}
(iv)
{a,b,d}
(v)
{c,a}
Question
15
15.
In the given figure, which of the following is true?
(i)
△GJI ≅ △HIG
(ii)
△GIJ ≅ △GHI
(iii)
△GJI ≅ △GHI
(iv)
△GIJ ≅ △GIH
(v)
△GIJ ≅ △IGH
Question
16
16.
With the data in the given figure, △CDF ≅ △CEF by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
17
17.
With the data in the given figure, △OED ≅ △OCB by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SAS Congruency
Question
18
18.
With the given data in the figure, △KJM ≅ △LIM by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
19
19.
With the given data in the figure, △IJK ≅ △KLI by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
RHS Congruency
Question
20
20.
With the given data in the figure, △DEF ≅ △GFE by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
21
21.
With the given data in the figure, △VIJ ≅ △UJI by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
22
22.
With the data in the given figure, △FIO ≅ △GHO by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
23
23.
With the data in the given figure, △CFE ≅ △CDE by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
24
24.
With the data in the given figure, △RMN ≅ △QNM by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
25
25.
With the data in the given figure, △TCD ≅ △UDC by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
26
26.
In the given figure, △HFG is an isosceles triangle. EI ⟂ FG passing through H. △EHF ≅ △EHG by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
27
27.
In the given figure, ABCD is a square and △SAB is an equilateral triangle. △SDA ≅ △SCB by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
28
28.
With the data in the given figure, △HIK ≅ △HJL by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SAS Congruency
Question
29
29.
With the data in the given figure, △FIG ≅ △FIH by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
30
30.
With the data in the given figure, △HJI ≅ △IKH by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SSS Congruency
Question
31
31.
With the data in the given figure, △CDG ≅ △CEF by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
32
32.
In the given figure, △GHI is an obtuse angled triangle. △GHJ ≅ △IHJ by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SSS Congruency
Question
33
33.
With the data in the given figure, △GOH ≅ △GOI by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
34
34.
With the data in the figure, △FIG ≅ △HIG by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
35
35.
With the data in the figure, △ADB ≅ △ADC by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
36
36.
With the data in the figure, △CFD ≅ △EFD by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
37
37.
With the data in the figure, △BCE ≅ △BDE by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SAS Congruency
Question
38
38.
With the data in the figure, △GJH ≅ △HIG by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
39
39.
With the data in the figure, △DGE ≅ △DGF by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
40
40.
With the data in the figure, △AOB ≅ △DOC by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
41
41.
With the data in the figure, △CDF ≅ △DCE by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
42
42.
With the data in the figure, △GIJ ≅ △IGH by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
43
43.
With the data in the figure, △BEC ≅ △BED by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
44
44.
With the data in the figure, △EHF ≅ △FGE by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
45
45.
With the data in the figure, △BOC ≅ △DOE by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
46
46.
With the data in the figure, △IOJ ≅ △KOL by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
47
47.
With the data in the figure, △GHJ ≅ △HGI by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
48
48.
With the data in the figure, △HIK ≅ △LJK by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
49
49.
With the data in the figure, △EFH ≅ △GFH by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SAS Congruency
Question
50
50.
With the data in the figure, △JKN ≅ △KJO by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
51
51.
With the data in the figure, △BDE ≅ △BDC by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
52
52.
With the data in the figure, △JNM ≅ △KNL by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
ASA Congruency
Question
53
53.
With the data in the figure, △NOR ≅ △NPS by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
54
54.
With the data in the given figure, △MNP ≅ △ONP by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
55
55.
With the data in the given figure, △PQS ≅ △QPR by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
56
56.
With the data in the given figure, △OPR ≅ △QRP by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
57
57.
With the data in the given figure, △NOQ ≅ △POQ by which property?
(i)
ASA Congruency
(ii)
not congruent
(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 4
(ii)
fig 3
(iii)
fig 1
(iv)
fig 2
Question
59
59.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 1
(iii)
fig 4
(iv)
fig 2
Question
60
60.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 1
(iii)
fig 4
(iv)
fig 2
Assignment Key
1) (i)
2) (i)
3) (iv)
4) (iv)
5) (iv)
6) (iii)
7) (iii)
8) (ii)
9) (v)
10) (iii)
11) (i)
12) (v)
13) (ii)
14) (iv)
15) (v)
16) (ii)
17) (i)
18) (iii)
19) (ii)
20) (iv)
21) (v)
22) (iii)
23) (v)
24) (iii)
25) (v)
26) (iii)
27) (v)
28) (i)
29) (iii)
30) (ii)
31) (i)
32) (v)
33) (iv)
34) (i)
35) (iii)
36) (v)
37) (iii)
38) (v)
39) (v)
40) (i)
41) (v)
42) (iii)
43) (v)
44) (ii)
45) (i)
46) (iv)
47) (ii)
48) (iv)
49) (iii)
50) (ii)
51) (i)
52) (iii)
53) (v)
54) (iv)
55) (v)
56) (iv)
57) (ii)
58) (iii)
59) (iv)
60) (i)
