EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Congruence of Triangles
Grade : CBSE Grade VII
License : Non Commercial Use
Question
1
1.
In the given figure, △LJK is an isosceles triangle. IM ⟂ JK passing through L. △ILJ ≅ △ILK by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
2
2.
With the data in the figure, △EIH ≅ △FIG by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
3
3.
In the given figure, △ABC ≅ △PQR. Which of the following are true?
a)
QR = 11 cm
b)
RP = 15 cm
c)
PQ = 16 cm
d)
PQ = 11 cm
e)
RP = 16 cm
f)
QR = 16 cm
(i)
{d,a}
(ii)
{e,b}
(iii)
{e,a,b}
(iv)
{f,d,c}
(v)
{a,b,c}
Question
4
4.
In the given figure, points N , O and P are the mid-points of sides LM, MK and KL of △KLM. Which of the following are true?
a)
△KPO ≅ △NPO
b)
△PLN ≅ △NOP
c)
△PLN ≅ △KPO
d)
△KPO ≅ △NOP
e)
△KPO ≅ △ONM
(i)
{a,e,b}
(ii)
{a,b}
(iii)
{a,d}
(iv)
{b,c,d,e}
(v)
{a,c}
Question
5
5.
With the data in the figure, △EFI ≅ △FEJ by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
6
6.
In the given figure, △BCD ≅ △VUT. Which of the following are true?
a)
∠U = 59°
b)
∠T = 52°
c)
∠V = 52°
d)
∠T = 59°
e)
∠U = 69°
f)
∠V = 69°
(i)
{b,c,d}
(ii)
{a,c}
(iii)
{f,a,e}
(iv)
{c,d,e}
(v)
{b,d}
Question
7
7.
With the data in the figure, △HKI ≅ △JKI by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
8
8.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
Question
9
9.
With the data in the given figure, △NOQ ≅ △POQ by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
10
10.
With the data in the figure, △DGE ≅ △FGE by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
11
11.
With the data in the figure, △GOH ≅ △IOJ by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
12
12.
With the data in the figure, △FOG ≅ △IOH by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
13
13.
With the data in the figure, △BCE ≅ △BDE by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
14
14.
In the given figure, which of the following is true?
(i)
△BDE ≅ △BDC
(ii)
△BED ≅ △CDB
(iii)
△BED ≅ △BCD
(iv)
△BDE ≅ △BCD
(v)
△BDE ≅ △DBC
Question
15
15.
With the data in the figure, △BEC ≅ △BED by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
16
16.
Which of the following are true?
a)
Any two triangles are similar.
b)
Any two circles are similar.
c)
Any two triangles are congruent.
d)
Any two squares are similar.
e)
Any two squares are congruent.
f)
Any two circles are congruent.
(i)
{c,d}
(ii)
{a,d,b}
(iii)
{b,d}
(iv)
{e,f,b}
(v)
{a,b}
Question
17
17.
With the data in the figure, △GHJ ≅ △KIJ by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SAS Congruency
Question
18
18.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 1
(ii)
fig 2
(iii)
fig 4
(iv)
fig 3
Question
19
19.
With the data in the given figure, △OJI ≅ △OHG by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
20
20.
In the given figure, △BCD ≅ △SRQ. Which of the following are true?
a)
∠D = ∠Q
b)
CD = RQ
c)
CD = SR
d)
∠B = ∠Q
e)
∠C = ∠R
(i)
{c,d,e}
(ii)
{a,b,e}
(iii)
{c,a}
(iv)
{d,b}
(v)
{c,a,b}
Question
21
21.
With the data in the given figure, △PQS ≅ △QPR by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
SAS Congruency
Question
22
22.
With the given data in the figure, △EDG ≅ △FCG by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
23
23.
Identify the property by which the two given triangles are congruent
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
Question
24
24.
With the data in the figure, △EHF ≅ △FGE by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
SAS Congruency
Question
25
25.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
Assignment Key
1) (v)
2) (iii)
3) (v)
4) (iv)
5) (ii)
6) (iv)
7) (i)
8) (ii)
9) (ii)
10) (iv)
11) (v)
12) (ii)
13) (i)
14) (v)
15) (i)
16) (iii)
17) (iii)
18) (iv)
19) (iv)
20) (ii)
21) (iii)
22) (ii)
23) (ii)
24) (iii)
25) (ii)
