EduSahara™ Assignment
Name : Similarity of Triangles
Chapter : Similarity
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Identify the property by which the two given triangles are similar
(i)
not similar
(ii)
AAA Similarity
(iii)
SAS Similarity
(iv)
SSS Similarity
Question
2
2.
Identify the property by which the two given triangles are similar
(i)
SSS Similarity
(ii)
not similar
(iii)
AAA Similarity
(iv)
SAS Similarity
Question
3
3.
Identify the property by which the two given triangles are similar
(i)
SAS Similarity
(ii)
SSS Similarity
(iii)
AAA Similarity
(iv)
not similar
Question
4
4.
In the given figure, △DEF and △STU are such that
∠E
=
∠T
and
DE
ST
=
EF
TU
.
Identify the property by which the two triangles are similar
(i)
SSS Similarity
(ii)
AAA Similarity
(iii)
not similar
(iv)
SAS Similarity
Question
5
5.
In the given figure, △DEF and △RST are such that
∠E
=
∠S
and
∠F
=
∠T
.
Identify the property by which the two triangles are similar
(i)
SSS Similarity
(ii)
AAA Similarity
(iii)
SAS Similarity
(iv)
not similar
Question
6
6.
In the given figure, △HIJ and △UVW are such that
HI
UV
=
IJ
VW
=
JH
WU
.
Identify the property by which the two triangles are similar
(i)
not similar
(ii)
AAA Similarity
(iii)
SAS Similarity
(iv)
SSS Similarity
Question
7
7.
In the given figure, CDEF is a trapezium in which
CD ∥ EF
and the diagonals
DF
and
CE
intersect at
G
.
△GEF
∼
(i)
△GFC
(ii)
△FCD
(iii)
△GDE
(iv)
△GCD
(v)
△DEF
Question
8
8.
In the given figure, the altitudes OC and DP of △BCD meet at N. △ODN ∼
(i)
△PCD
(ii)
△NPO
(iii)
△ODC
(iv)
△NCD
(v)
△PCN
Question
9
9.
In the given figure, RS ∥ BC , and median AD bisects RS.
△ADC ∼
(i)
△BCA
(ii)
△ABD
(iii)
△AES
(iv)
△ARE
(v)
△ABC
Question
10
10.
Which of the following are true?
a)
Any two squares are congruent.
b)
Any two circles are similar.
c)
Any two triangles are similar.
d)
Any two circles are congruent.
e)
Any two squares are similar.
f)
Any two triangles are congruent.
(i)
{d,f,b}
(ii)
{a,b}
(iii)
{b,e}
(iv)
{c,e}
(v)
{a,e,b}
Question
11
11.
Which of the following are true?
a)
A semi-circle is a polygonal region.
b)
A sector is a polygonal region.
c)
A triangle is a polygonal region.
d)
A circle is a polygonal region.
e)
A square is a polygonal region.
(i)
{b,e}
(ii)
{d,a,c}
(iii)
{b,e,c}
(iv)
{a,c}
(v)
{c,e}
Question
12
12.
Which of the following are true?
a)
Congruent figures have same area.
b)
If two figures are congruent, then they are similar too.
c)
Similar figures have same area.
d)
Similar and congruent are not synonymous.
e)
If two figures are similar, then they are congruent too.
(i)
{a,b,d}
(ii)
{c,e,d}
(iii)
{e,b}
(iv)
{c,a}
(v)
{c,a,b}
Question
13
13.
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)
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)
A polygonal region can be divided into a finite number of triangles in a unique way.
(i)
{b,d,a}
(ii)
{b,a}
(iii)
{b,c,a}
(iv)
{a,c}
(v)
{d,c}
Question
14
14.
Which of the following are necessary conditions for similarity of two polygons ?
a)
The corresponding sides are equal.
b)
The corresponding angles are equal.
c)
The corresponding angles are proportional.
d)
The corresponding sides are proportional.
(i)
{a,d,b}
(ii)
{a,c,b}
(iii)
{b,d}
(iv)
{c,d}
(v)
{a,b}
Question
15
15.
Which of the following are true?
a)
Similarity is anti symmetric.
b)
Similarity is transitive.
c)
Similarity is symmetric.
d)
Similarity is reflexive.
(i)
{a,d}
(ii)
{a,b}
(iii)
{a,c}
(iv)
{b,c,d}
(v)
{a,b,c}
Question
16
16.
Which of the following are true?
a)
Any two triangles are similar if the corresponding angles are equal.
b)
Any two quadrilaterals are similar if the corresponding sides are proportional.
c)
Any two quadrilaterals are similar if the corresponding angles are equal.
d)
Any two triangles are similar if the corresponding sides are proportional.
(i)
{c,a,b}
(ii)
{c,b}
(iii)
{c,a}
(iv)
{a,b,d}
(v)
{c,d}
Question
17
17.
In the given two similar triangles, if i = 18 cm, j = 18 cm, k = 16 cm, l = 10.8 cm, find m
(i)
9.80 cm
(ii)
11.80 cm
(iii)
12.80 cm
(iv)
8.80 cm
(v)
10.80 cm
Question
18
18.
In the given figure, if GH ∥ IJ then
(i)
△GHK ∼ △JIK
(ii)
△GHK ∼ △KIJ
(iii)
△GHK ∼ △KJI
(iv)
△KGH ∼ △KIJ
(v)
△KHG ∼ △KJI
Question
19
19.
In the given figure, points J , K and L are the mid-points of sides HI, IG and GH of △GHI. Which of the following are true?
a)
△GLK ∼ △GHI
b)
△KJI ∼ △GHI
c)
△JKL ∼ △GHI
d)
△LHJ ∼ △GHI
e)
△JLK ∼ △GHI
(i)
{e,c}
(ii)
{e,d,a}
(iii)
{a,b,c,d}
(iv)
{e,b}
(v)
{e,a}
Assignment Key
1) (iii)
2) (iii)
3) (ii)
4) (iv)
5) (ii)
6) (iv)
7) (iv)
8) (v)
9) (iii)
10) (iii)
11) (v)
12) (i)
13) (iv)
14) (iii)
15) (iv)
16) (iv)
17) (v)
18) (i)
19) (iii)
