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)
AAA Similarity
(iii)
not similar
(iv)
SAS Similarity
Question
3
3.
Identify the property by which the two given triangles are similar
(i)
SSS Similarity
(ii)
not similar
(iii)
SAS Similarity
(iv)
AAA Similarity
Question
4
4.
In the given figure, △DEF and △RST are such that
∠E
=
∠S
and
DE
RS
=
EF
ST
.
Identify the property by which the two triangles are similar
(i)
SAS Similarity
(ii)
SSS Similarity
(iii)
AAA Similarity
(iv)
not similar
Question
5
5.
In the given figure, △ABC and △QRS are such that
∠B
=
∠R
and
∠C
=
∠S
.
Identify the property by which the two triangles are similar
(i)
not similar
(ii)
AAA Similarity
(iii)
SSS Similarity
(iv)
SAS Similarity
Question
6
6.
In the given figure, △CDE and △PQR are such that
CD
PQ
=
DE
QR
=
EC
RP
.
Identify the property by which the two triangles are similar
(i)
SAS Similarity
(ii)
not similar
(iii)
SSS Similarity
(iv)
AAA Similarity
Question
7
7.
In the given figure, FGHI is a trapezium in which
FG ∥ HI
and the diagonals
GI
and
FH
intersect at
J
.
△JFG
∼
(i)
△GHI
(ii)
△JHI
(iii)
△JIF
(iv)
△JGH
(v)
△IFG
Question
8
8.
In the given figure, the altitudes UC and DV of △BCD meet at T. △UDT ∼
(i)
△VCD
(ii)
△TCD
(iii)
△TVU
(iv)
△UDC
(v)
△VCT
Question
9
9.
In the given figure, TU ∥ GH , and median FI bisects TU.
△FJU ∼
(i)
△FIH
(ii)
△GHF
(iii)
△FGH
(iv)
△FTJ
(v)
△FGI
Question
10
10.
Which of the following are true?
a)
Any two triangles are congruent.
b)
Any two squares are congruent.
c)
Any two circles are congruent.
d)
Any two circles are similar.
e)
Any two triangles are similar.
f)
Any two squares are similar.
(i)
{b,f}
(ii)
{d,f}
(iii)
{c,e,d}
(iv)
{a,f,d}
(v)
{a,d}
Question
11
11.
Which of the following are true?
a)
A circle is a polygonal region.
b)
A square is a polygonal region.
c)
A sector is a polygonal region.
d)
A semi-circle is a polygonal region.
e)
A triangle is a polygonal region.
(i)
{d,a,b}
(ii)
{c,e,b}
(iii)
{b,e}
(iv)
{c,e}
(v)
{a,b}
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)
If two figures are similar, then they are congruent too.
d)
Similar figures have same area.
e)
Similar and congruent are not synonymous.
(i)
{d,b}
(ii)
{a,b,e}
(iii)
{c,d,e}
(iv)
{c,a,b}
(v)
{c,a}
Question
13
13.
Which of the following are true?
a)
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.
b)
Area of the union of two polygonal region is not equal to the sum of the individual area.
c)
A polygonal region can be divided into a finite number of triangles in a unique way.
d)
Area of the union of two polygonal region is the sum of the individual area.
(i)
{c,a}
(ii)
{a,b}
(iii)
{c,b,a}
(iv)
{d,b}
(v)
{c,d,a}
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)
{c,d}
(ii)
{a,d,b}
(iii)
{a,b}
(iv)
{b,d}
(v)
{a,c,b}
Question
15
15.
Which of the following are true?
a)
Similarity is symmetric.
b)
Similarity is transitive.
c)
Similarity is reflexive.
d)
Similarity is anti symmetric.
(i)
{d,a}
(ii)
{d,b}
(iii)
{d,c}
(iv)
{d,a,b}
(v)
{a,b,c}
Question
16
16.
Which of the following are true?
a)
Any two triangles are similar if the corresponding sides are proportional.
b)
Any two triangles are similar if the corresponding angles are equal.
c)
Any two quadrilaterals are similar if the corresponding sides are proportional.
d)
Any two quadrilaterals are similar if the corresponding angles are equal.
(i)
{d,a,b}
(ii)
{d,b}
(iii)
{d,c}
(iv)
{d,a}
(v)
{a,b,c}
Question
17
17.
In the given two similar triangles, if d = 20 cm, e = 15 cm, f = 15 cm, h = 9 cm, find i
(i)
8.00 cm
(ii)
9.00 cm
(iii)
11.00 cm
(iv)
7.00 cm
(v)
10.00 cm
Question
18
18.
In the given figure, if DE ∥ FG then
(i)
△DEH ∼ △HGF
(ii)
△DEH ∼ △HFG
(iii)
△HED ∼ △HGF
(iv)
△DEH ∼ △GFH
(v)
△HDE ∼ △HFG
Question
19
19.
In the given figure, points L , M and N are the mid-points of sides JK, KI and IJ of △IJK. Which of the following are true?
a)
△MLK ∼ △IJK
b)
△LNM ∼ △IJK
c)
△INM ∼ △IJK
d)
△LMN ∼ △IJK
e)
△NJL ∼ △IJK
(i)
{b,c}
(ii)
{b,d}
(iii)
{b,a}
(iv)
{b,e,a}
(v)
{a,c,d,e}
Assignment Key
1) (i)
2) (ii)
3) (i)
4) (i)
5) (ii)
6) (iii)
7) (ii)
8) (v)
9) (i)
10) (ii)
11) (iii)
12) (ii)
13) (ii)
14) (iv)
15) (v)
16) (v)
17) (ii)
18) (iv)
19) (v)
