EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Congruency of Triangles
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
With the data in the given figure, △FIG ≅ △FIH by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
2
2.
With the data in the figure, △ABD ≅ △ACD by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
3
3.
With the data in the figure, △FHI ≅ △HFG by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
4
4.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
Question
5
5.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
Question
6
6.
With the data in the given figure, △OPR ≅ △POQ by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
7
7.
In the given figure, which of the following is true?
(i)
△EHG ≅ △EFG
(ii)
△EHG ≅ △FGE
(iii)
△EGH ≅ △EFG
(iv)
△EGH ≅ △GEF
(v)
△EGH ≅ △EGF
Question
8
8.
With the data in the figure, △AOB ≅ △DOC by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
ASA Congruency
Question
9
9.
In the given figure, CDEF is a square and △RCD is an equilateral triangle. △RFC ≅ △RED by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
10
10.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
Question
11
11.
With the data in the figure, △LMP ≅ △LNQ by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
12
12.
With the data in the given figure, △IDE ≅ △HED by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
13
13.
Identify the property by which the two given triangles are congruent
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
Question
14
14.
With the data in the given figure, △OJI ≅ △OHG by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
15
15.
In the given figure, △JKL is an obtuse angled triangle. △JKM ≅ △LKM by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
RHS Congruency
Question
16
16.
With the data in the given figure, △EFH ≅ △EGH by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
17
17.
In the given figure, △KIJ is an isosceles triangle. HL ⟂ IJ passing through K. △HKI ≅ △HKJ by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
18
18.
With the data in the figure, △DEG ≅ △FEG by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
19
19.
Which of the following are true?
a)
Area of the union of two polygonal region is the sum of the individual area.
b)
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.
c)
Area of the union of two polygonal region is not equal to the sum of the individual area.
d)
A polygonal region can be divided into a finite number of triangles in a unique way.
(i)
{a,d,b}
(ii)
{b,c}
(iii)
{d,c}
(iv)
{a,c,b}
(v)
{a,b}
Question
20
20.
With the data in the given figure, △DFE ≅ △EGD by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
21
21.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 1
(ii)
fig 3
(iii)
fig 4
(iv)
fig 2
Question
22
22.
With the given data in the figure, △GFI ≅ △HEI by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
23
23.
In the given figure, △DEF ≅ △STU. Which of the following are true?
a)
ST = 12 cm
b)
TU = 14 cm
c)
US = 16 cm
d)
ST = 14 cm
e)
US = 12 cm
f)
TU = 12 cm
(i)
{f,d,c}
(ii)
{e,b}
(iii)
{e,a,b}
(iv)
{a,b,c}
(v)
{d,a}
Question
24
24.
With the data in the figure, △IJL ≅ △MKL by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
25
25.
With the data in the given figure, △DEG ≅ △DFH by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SSS Congruency
Assignment Key
1) (ii)
2) (iv)
3) (ii)
4) (iii)
5) (iv)
6) (i)
7) (iv)
8) (iii)
9) (iii)
10) (iii)
11) (v)
12) (i)
13) (ii)
14) (iii)
15) (ii)
16) (i)
17) (i)
18) (v)
19) (ii)
20) (iii)
21) (iv)
22) (v)
23) (iv)
24) (iv)
25) (iv)
