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)
SAS Similarity
(ii)
SSS Similarity
(iii)
AAA Similarity
(iv)
not similar
Question
2
2.
Identify the property by which the two given triangles are similar
(i)
SSS Similarity
(ii)
SAS Similarity
(iii)
AAA Similarity
(iv)
not similar
Question
3
3.
Identify the property by which the two given triangles are similar
(i)
SSS Similarity
(ii)
SAS Similarity
(iii)
AAA Similarity
(iv)
not similar
Question
4
4.
In the given figure, △GHI and △PQR are such that
∠H
=
∠Q
and
GH
PQ
=
HI
QR
.
Identify the property by which the two triangles are similar
(i)
not similar
(ii)
AAA Similarity
(iii)
SSS Similarity
(iv)
SAS Similarity
Question
5
5.
In the given figure, △HIJ and △TUV are such that
∠I
=
∠U
and
∠J
=
∠V
.
Identify the property by which the two triangles are similar
(i)
not similar
(ii)
SAS Similarity
(iii)
AAA Similarity
(iv)
SSS Similarity
Question
6
6.
In the given figure, △BCD and △STU are such that
BC
ST
=
CD
TU
=
DB
US
.
Identify the property by which the two triangles are similar
(i)
SAS Similarity
(ii)
AAA Similarity
(iii)
not similar
(iv)
SSS Similarity
Question
7
7.
In the given figure, HIJK is a trapezium in which
HI ∥ JK
and the diagonals
IK
and
HJ
intersect at
L
.
△LJK
∼
(i)
△KHI
(ii)
△LKH
(iii)
△LIJ
(iv)
△IJK
(v)
△LHI
Question
8
8.
In the given figure, the altitudes RG and HS of △FGH meet at Q. △SGQ ∼
(i)
△RHG
(ii)
△QGH
(iii)
△RHQ
(iv)
△SGH
(v)
△QSR
Question
9
9.
In the given figure, TU ∥ JK , and median IL bisects TU.
△IMU ∼
(i)
△JKI
(ii)
△IJK
(iii)
△IJL
(iv)
△ITM
(v)
△ILK
Question
10
10.
Which of the following are true?
a)
Any two triangles are similar.
b)
Any two circles are similar.
c)
Any two squares are similar.
d)
Any two circles are congruent.
e)
Any two triangles are congruent.
f)
Any two squares are congruent.
(i)
{a,b}
(ii)
{b,c}
(iii)
{e,f,b}
(iv)
{d,c}
(v)
{a,c,b}
Question
11
11.
Which of the following are true?
a)
A square is a polygonal region.
b)
A triangle is a polygonal region.
c)
A sector is a polygonal region.
d)
A circle is a polygonal region.
e)
A semi-circle is a polygonal region.
(i)
{e,c,a}
(ii)
{a,b}
(iii)
{c,a}
(iv)
{d,b,a}
(v)
{d,b}
Question
12
12.
Which of the following are true?
a)
Congruent figures have same area.
b)
If two figures are similar, then they are congruent too.
c)
Similar and congruent are not synonymous.
d)
Similar figures have same area.
e)
If two figures are congruent, then they are similar too.
(i)
{b,d,e}
(ii)
{b,a}
(iii)
{b,a,c}
(iv)
{a,c,e}
(v)
{d,c}
Question
13
13.
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 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)
Area of the union of two polygonal region is not equal to the sum of the individual area.
(i)
{b,d}
(ii)
{c,d}
(iii)
{a,d,c}
(iv)
{a,b,c}
(v)
{a,c}
Question
14
14.
Which of the following are necessary conditions for similarity of two polygons ?
a)
The corresponding sides are proportional.
b)
The corresponding angles are equal.
c)
The corresponding angles are proportional.
d)
The corresponding sides are equal.
(i)
{a,b}
(ii)
{d,b}
(iii)
{c,b,a}
(iv)
{c,d,a}
(v)
{c,a}
Question
15
15.
Which of the following are true?
a)
Similarity is symmetric.
b)
Similarity is transitive.
c)
Similarity is anti symmetric.
d)
Similarity is reflexive.
(i)
{c,b}
(ii)
{c,a}
(iii)
{c,d}
(iv)
{a,b,d}
(v)
{c,a,b}
Question
16
16.
Which of the following are true?
a)
Any two quadrilaterals are similar if the corresponding angles are equal.
b)
Any two quadrilaterals are similar if the corresponding sides are proportional.
c)
Any two triangles are similar if the corresponding angles are equal.
d)
Any two triangles are similar if the corresponding sides are proportional.
(i)
{b,c,d}
(ii)
{a,c}
(iii)
{a,b}
(iv)
{a,d}
(v)
{a,b,c}
Question
17
17.
In the given two similar triangles, if d = 15 cm, e = 16 cm, f = 18 cm, i = 10.8 cm, find g
(i)
9.00 cm
(ii)
7.00 cm
(iii)
10.00 cm
(iv)
8.00 cm
(v)
11.00 cm
Question
18
18.
In the given figure, if HI ∥ JK then
(i)
△LHI ∼ △LJK
(ii)
△LIH ∼ △LKJ
(iii)
△HIL ∼ △KJL
(iv)
△HIL ∼ △LKJ
(v)
△HIL ∼ △LJK
Question
19
19.
In the given figure, points M , N and O are the mid-points of sides KL, LJ and JK of △JKL. Which of the following are true?
a)
△OKM ∼ △JKL
b)
△MON ∼ △JKL
c)
△JON ∼ △JKL
d)
△NML ∼ △JKL
e)
△MNO ∼ △JKL
(i)
{b,d}
(ii)
{b,e,a}
(iii)
{b,a}
(iv)
{a,c,d,e}
(v)
{b,c}
Assignment Key
1) (i)
2) (iii)
3) (i)
4) (iv)
5) (iii)
6) (iv)
7) (v)
8) (iii)
9) (v)
10) (ii)
11) (ii)
12) (iv)
13) (ii)
14) (i)
15) (iv)
16) (i)
17) (i)
18) (iii)
19) (iv)
