EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Congruency of Triangles
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following are true?
a)
A polygonal region can be divided into a finite number of triangles in a unique way.
b)
Area of the union of two polygonal region is the sum of the individual area.
c)
Area of the union of two polygonal region is not equal to the sum of the individual area.
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}
(ii)
{c,d}
(iii)
{a,b,c}
(iv)
{a,c}
(v)
{a,d,c}
Question
2
2.
With the data in the figure, △FGI ≅ △HGI by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
3
3.
With the data in the figure, △HKI ≅ △HKJ by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
4
4.
In the given figure, △LJK is an isosceles triangle. IM ⟂ JK passing through L. △ILJ ≅ △ILK by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
5
5.
With the data in the figure, △COD ≅ △FOE by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
6
6.
With the data in the given figure, △MON ≅ △NPM by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
7
7.
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)
△BGF ≅ △EFG
b)
△GCE ≅ △BGF
c)
△GCE ≅ △EFG
d)
△BGF ≅ △EGF
e)
△BGF ≅ △FED
(i)
{d,b}
(ii)
{d,e,a}
(iii)
{d,c}
(iv)
{a,b,c,e}
(v)
{d,a}
Question
8
8.
With the data in the figure, △CDF ≅ △GEF by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
9
9.
With the data in the given figure, △GHJ ≅ △GIJ by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
10
10.
With the data in the given figure, △HKI ≅ △HKJ by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
11
11.
With the data in the given figure, △OHG ≅ △OFE by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
12
12.
With the data in the given figure, △FIO ≅ △GHO by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
13
13.
Which of the following are true?
a)
Any two squares are congruent.
b)
Any two triangles are congruent.
c)
Any two circles are congruent.
d)
Any two triangles are similar.
e)
Any two circles are similar.
f)
Any two squares are similar.
(i)
{c,d,e}
(ii)
{e,f}
(iii)
{a,f,e}
(iv)
{b,f}
(v)
{a,e}
Question
14
14.
With the data in the figure, △BOC ≅ △DOE by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
15
15.
With the data in the given figure, △HOI ≅ △HOJ by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
16
16.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
Question
17
17.
With the data in the figure, △LOM ≅ △MNL by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SSS Congruency
Question
18
18.
With the data in the figure, △GHJ ≅ △HGI by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
19
19.
With the given data in the figure, △FGH ≅ △HIF by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
20
20.
With the data in the given figure, △LGH ≅ △KHG by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
21
21.
With the data in the figure, △ILJ ≅ △ILK by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
22
22.
With the data in the figure, △GHJ ≅ △GIJ by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
RHS Congruency
Question
23
23.
With the data in the figure, △HOI ≅ △JOK by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
24
24.
With the given data in the figure, △VEF ≅ △UFE by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
25
25.
In the given figure, △IJK is an obtuse angled triangle. △IJL ≅ △KJL by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Assignment Key
1) (ii)
2) (ii)
3) (v)
4) (iii)
5) (ii)
6) (v)
7) (iv)
8) (iv)
9) (ii)
10) (i)
11) (i)
12) (iv)
13) (ii)
14) (ii)
15) (iii)
16) (i)
17) (iii)
18) (iv)
19) (v)
20) (i)
21) (iv)
22) (iii)
23) (iv)
24) (i)
25) (ii)
