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question_answer1)
Two figures having the same shape but not necessarily the same size are called similar figures.
A)
True done
clear
B)
False done
clear
C)
Cannot say done
clear
D)
Partially True/False done
clear
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question_answer2)
Two triangles are similar. If their corresponding angles are proportional.
A)
True done
clear
B)
False done
clear
C)
Cannot say done
clear
D)
Partially True/False done
clear
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question_answer3)
All.......... triangles are similar.
A)
equilateral triangle done
clear
B)
right triangle done
clear
C)
scalene triangle done
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D)
None of these done
clear
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question_answer4)
Two triangle are similar. If their corresponding sides are .......... .
A)
equal done
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B)
proportional done
clear
C)
right angle done
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D)
None of the above done
clear
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question_answer5)
"Two quadrilaterals are similar, if their corresponding angles are equal".
A)
True done
clear
B)
False done
clear
C)
Cannot say done
clear
D)
Partially true/false done
clear
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question_answer6)
Which pair of triangles are similar?
A)
B)
C)
D)
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question_answer7)
The given quadrilaterals are .......... . |
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A)
similar done
clear
B)
not similar done
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C)
cannot say done
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D)
None of the above done
clear
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question_answer8)
Two sides and the perimeter of one triangle are respectively three times the corresponding sides and the perimeter of the other triangle then the two triangles are similar.
A)
True done
clear
B)
False done
clear
C)
Cannot say done
clear
D)
Partially true/false done
clear
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question_answer9)
The given shapes are mathematically similar. The unknown side (x) is |
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A)
5cm done
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B)
3cm done
clear
C)
9cm done
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D)
15cm done
clear
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question_answer10)
If\[\Delta ABC\tilde{\ }\Delta POR\], AB = 6.5 cm, PQ = 10.4cm and perimeter of \[\Delta ABC=60\,cm\], the perimeter of \[\Delta PQR\]is
A)
65cm done
clear
B)
96cm done
clear
C)
60cm done
clear
D)
104cm done
clear
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question_answer11)
It is given that \[\Delta ABC\tilde{\ }\Delta EDF\]such that AB = 5 cm, AC = 7 cm, DF = 15 cm and DE = 12 cm. The lengths of the remaining sides of the triangles is
A)
16.8 cm, 6.25 cm done
clear
B)
16.8 cm, 12cm done
clear
C)
12 cm, 6.25cm done
clear
D)
None of these done
clear
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question_answer12)
If in \[\Delta ABC\] and \[\Delta DEF\], \[\frac{AB}{DE}=\frac{BC}{FD}\], then they will be similar, when
A)
\[\angle B=\angle E\] done
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B)
\[\angle A=\angle D\] done
clear
C)
\[\angle B=\angle D\] done
clear
D)
\[\angle A=\angle F\] done
clear
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question_answer13)
If a line divides any two sides of a triangle in the same ratio, then the line is ......... to the third sides.
A)
perpendicular done
clear
B)
parallel done
clear
C)
equal done
clear
D)
None of these done
clear
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question_answer14)
In the given figure\[DE||BC\]. If \[AD=x\]\[DB=x-2\], \[AE=x+2\] and \[EC=x-1\], then the value of x is |
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A)
9 done
clear
B)
4 done
clear
C)
4.5 done
clear
D)
8 done
clear
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question_answer15)
In the given figure, \[DE||BC\]. If AD = 3 cm, DB = 4 cm and AE = 6 cm, then EC is |
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A)
8cm done
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B)
12cm done
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C)
6cm done
clear
D)
4cm done
clear
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question_answer16)
In the given figure of \[\Delta ABC\],\[DE||AC\]. If\[DC||AP\], where point P lies on BC produced, then \[\frac{BE}{EC}\]= |
|
A)
\[\frac{BD}{CP}\] done
clear
B)
\[\frac{BC}{CP}\] done
clear
C)
\[\frac{BC}{DA}\] done
clear
D)
None of these done
clear
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question_answer17)
In \[\Delta PQR\], \[ST||QR\], \[\frac{PS}{SQ}=\frac{3}{5}\] and \[PR=28\,cm\], then the value of PT is |
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A)
9.5cm done
clear
B)
9cm done
clear
C)
10cm done
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D)
10.5cm done
clear
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question_answer18)
In \[\Delta ABC\], D and E axe points on the sides AB and AC respectively, such that\[DE||BC\]. If \[AD=4x-3\], \[AE=8x-7\], \[BD=3x-1\] and\[CE=5x-3\], then the value of x is
A)
\[\frac{1}{2}\] done
clear
B)
4 done
clear
C)
1 done
clear
D)
\[\frac{2}{3}\] done
clear
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question_answer19)
In the given figure, if\[AB||CD\], then the value of x is |
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A)
6 done
clear
B)
8 done
clear
C)
3 done
clear
D)
9 done
clear
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question_answer20)
In the given figure P and Q are points on sides AB and A C respectively of \[\Delta ABC\]such that AP = 35 cm, PB =7 cm, AQ = 3 cm and QC = 6 cm. |
If PQ = 45 cm, then the value of BC is |
|
A)
13.5cm done
clear
B)
3.4 cm done
clear
C)
2.6cm done
clear
D)
1.6cm done
clear
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question_answer21)
The line joining the mid-points of two sides of a triangle is
A)
bisector of the third side done
clear
B)
perpendicular to the third side done
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C)
parallel to the third side done
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D)
None of the above done
clear
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question_answer22)
In the adjoining figure, \[\frac{PS}{SQ}=\frac{PT}{TR}\] and \[\angle PST=\angle PRQ\]. Then, \[\Delta PQR\] is an |
|
A)
equilateral triangle done
clear
B)
right angle triangle done
clear
C)
isosceles triangle done
clear
D)
Cannot say done
clear
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question_answer23)
In \[\Delta ABC\], points P and Q are on CA and CB, respectively such that CA = 16 cm, CP = 10 cm, CB = 30 cm and CQ = 25 cm. Then,
A)
\[PQ||AB\] done
clear
B)
\[PQ\ne AB\] done
clear
C)
\[\frac{QB}{CQ}=\frac{PA}{CP}\] done
clear
D)
None of the above done
clear
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question_answer24)
Which pairs of triangles in the given figure are similar? |
|
A)
(i) and (ii) done
clear
B)
(ii) and (iii) done
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C)
(i) and (ii) done
clear
D)
None of these done
clear
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question_answer25)
Two similar triangles are given in the figure the similarity criterion used is |
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A)
SAS done
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B)
SSS done
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C)
AAA done
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D)
None of these done
clear
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question_answer26)
In \[\Delta ABC\] and \[\Delta DEF\], \[\angle B=\angle E\], \[\angle F=\angle C\] and AB = 3DE. Then, the two triangles are
A)
congruent but not similar done
clear
B)
similar but not congruent done
clear
C)
neither congruent nor similar done
clear
D)
congruent as well as similar done
clear
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question_answer27)
Diagonals AC and BD of a trapezium ABCD with \[AB||DC\]intersect each other at the point O, then \[\frac{OA}{OC}=\frac{OB}{OD}\]
A)
True done
clear
B)
False done
clear
C)
Cannot say done
clear
D)
Partially True/False m done
clear
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question_answer28)
In the given figure, if\[\angle ADE=\angle B\], and AD = 6.8 cm, AE = 8.6 cm, BE = 2.4 cm and BC = 55 cm, then the value of DE is |
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A)
6.8cm done
clear
B)
2.4cm done
clear
C)
3.4cm done
clear
D)
4.8cm done
clear
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question_answer29)
In the given figure, \[\angle ABC=90{}^\circ \]and \[BD\bot AC\]. If BD = 8 cm and AD = 4 cm, then the value of CD is |
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A)
8 cm done
clear
B)
12cm done
clear
C)
14cm done
clear
D)
16cm done
clear
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question_answer30)
The value of the height 'h' in the adjoining figure is, at which the tennis ball must be hit, so that it will just pass over the net and land 6 m away from the base of the net. |
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A)
3.6m done
clear
B)
3m done
clear
C)
2.7m done
clear
D)
0.27m done
clear
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question_answer31)
In the figure given below, if \[AB||DC\]and AC and PQ intersect each other at point O, then the value of \[OA.CQ\] is |
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A)
\[OC\,.\,OQ\] done
clear
B)
\[OP\,.\,OC\] done
clear
C)
\[OC\,.\,AP\] done
clear
D)
\[OQ\,.\,OP\] done
clear
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question_answer32)
In \[\Delta ABC\], \[AD\bot BC\]and \[A{{D}^{2}}=BD\,.\,CD\]then the value of \[\angle BAC\] is
A)
\[45{}^\circ \] done
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B)
\[90{}^\circ \] done
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C)
\[180{}^\circ \] done
clear
D)
\[60{}^\circ \] done
clear
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question_answer33)
In the given figure,\[\Delta ODC\tilde{\ }\Delta OBA\]. \[\angle BOC=125{}^\circ \]and\[\angle CDO=70{}^\circ \], then the value of \[\angle OAB\]is |
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A)
\[70{}^\circ \] done
clear
B)
\[125{}^\circ \] done
clear
C)
\[65{}^\circ \] done
clear
D)
\[55{}^\circ \] done
clear
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question_answer34)
A vertical stick 20 m long casts a shadow 10 m long on the ground. At the same time, a tower casts a shadow 50m long on the ground. The height of the tower is
A)
100m done
clear
B)
120m done
clear
C)
25m done
clear
D)
200m done
clear
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question_answer35)
A girl of height 90 cm is walking away from the base of a lamp-post at a speed of 1.2 m/s. If the lamp is 3.6 m above the ground, then the value of length of her shadow after 4s is
A)
3.2m done
clear
B)
4.8m done
clear
C)
1.6m done
clear
D)
3.6m done
clear
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question_answer36)
\[\Delta ABC\tilde{\ }\Delta DEF\]and the perimeters of \[\Delta ABC\] and \[\Delta DEF\]are 30 cm and 18 cm respectively. If BC = 9 cm, then EF =
A)
6.3cm done
clear
B)
5.4cm done
clear
C)
7.2cm done
clear
D)
4.5cm done
clear
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question_answer37)
........ state that in a right angle triangle; the square of hypotenuse is equal to the sum of the square of the other two sides.
A)
BPT theorem done
clear
B)
Converse of Pythagoras theorem done
clear
C)
Converse of BPT theorem done
clear
D)
Pythagoras theorem done
clear
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question_answer38)
Right angle triangle whose hypotenuse is of length p cm, one side of length q cm and p - q= 1 then the length of third side of the triangle is
A)
\[\sqrt{1+2q}\,cm\] done
clear
B)
\[\sqrt{p}+\sqrt{q}\,cm\] done
clear
C)
\[\sqrt{p-q}\,cm\] done
clear
D)
\[\sqrt{p}-\sqrt{q}\,cm\] done
clear
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question_answer39)
If the lengths of the diagonals of rhombus are 16 cm and 12 cm. Then, the length of the sides of the rhombus is
A)
9cm done
clear
B)
10cm done
clear
C)
8cm done
clear
D)
20cm done
clear
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question_answer40)
In given figure, ABC is an isosceles triangle, right-angled at C. Therefore |
|
A)
\[A{{B}^{2}}=2A{{C}^{2}}\] done
clear
B)
\[B{{C}^{2}}=2A{{B}^{2}}\] done
clear
C)
\[A{{C}^{2}}=2A{{B}^{2}}\] done
clear
D)
\[A{{B}^{2}}=4A{{C}^{2}}\] done
clear
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question_answer41)
In \[\Delta PQR\], \[PD\bot QR\]such that D lies on QR, if PQ = a, PR = b, QD = c and DR = d, then the value of (a + b) (a - b) is
A)
\[\frac{c+d}{c-d}\] done
clear
B)
\[\frac{{{c}^{2}}-{{d}^{2}}}{c-d}\] done
clear
C)
\[\left( c+d \right)\left( c-d \right)\] done
clear
D)
\[\frac{{{c}^{2}}+{{d}^{2}}}{{{c}^{2}}-{{d}^{2}}}\] done
clear
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question_answer42)
The area of a right angled triangle is 40 sq cm and its perimeter is 40 cm. The length of its hypotenuse is
A)
16cm done
clear
B)
18cm done
clear
C)
17cm done
clear
D)
data insufficient done
clear
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question_answer43)
A flag pole 18 m high casts a shadow 9.6m long. Then, the distance of the top of the pole from the far end of the shadow is
A)
18m done
clear
B)
26m done
clear
C)
21m done
clear
D)
20.4m done
clear
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question_answer44)
|
Column - I |
|
Column - II |
P. |
In \[\Delta ABC\] and \[\Delta PQR\] \[\frac{AB}{PQ}=\frac{AC}{PR}\], \[\angle A=\angle P\] \[\Rightarrow \,\,\Delta ABC\tilde{\ }\Delta PQR\] |
1. |
AA similarity criterion |
Q. |
In \[\Delta ABC\] and \[\Delta PQR\] \[\angle A=\angle P\], \[\angle B=\angle Q\]\[\Rightarrow \,\Delta ABC\tilde{\ }\Delta PQR\] |
2. |
SAS similarity criterion |
R. |
In \[\Delta ABC\] and \[\Delta PQR\]\[\frac{AB}{PQ}=\frac{AC}{PR}=\frac{BC}{QR}\] \[\Rightarrow \,\Delta ABC\tilde{\ }\Delta PQR\] |
3. |
SSS similarity criterion |
S. |
In \[\Delta ABC\], \[DE||BC\] \[\Rightarrow \,\frac{AD}{DB}=\frac{AE}{EC}\] |
4. |
BPT |
A)
P-1, Q-2, R-3, S-4 done
clear
B)
P-2, Q-1, R-3, S-4 done
clear
C)
P-4, Q-3, R-2, S-1 done
clear
D)
P-4, Q-3, R-2, S-4 done
clear
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question_answer45)
If in a \[\Delta ABC\], \[DE||BC\]and intersects AB at D and AC at E, then match the lists
|
Column - I |
|
Column - II |
P. |
\[\frac{AD}{DB}\] |
1. |
\[\frac{AC}{AE}\] |
Q. |
\[\frac{AB}{AD}\] |
2. |
\[\frac{AE}{EC}\] |
R. |
\[\frac{DB}{AB}\] |
3. |
\[\frac{AB}{AC}\] |
S. |
\[\frac{AD}{AE}\] |
4. |
\[\frac{EC}{AC}\] |
A)
P-1, Q-2, R-3, S-4 done
clear
B)
P-4, Q-3, R-2, S-1 done
clear
C)
P-2, Q-1, R-4, S-3 done
clear
D)
P-1, Q-3, R-2, S-4 done
clear
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