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question_answer1)
The angles of quadrilateral are in the ratio 2 : 3 : 5 : 8. The smallest angle is
A)
\[60{}^\circ \] done
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B)
\[40{}^\circ \] done
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C)
\[{{20}^{{}^\circ }}\] done
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D)
\[{{50}^{{}^\circ }}\] done
clear
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question_answer2)
In a parallelogram ABCD, if \[\angle \mathbf{A}=\mathbf{4}\angle \mathbf{B}\], then \[\angle \mathbf{A}+\angle \mathbf{C}\]
A)
\[{{260}^{{}^\circ }}\] done
clear
B)
\[{{150}^{{}^\circ }}\] done
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C)
\[{{140}^{{}^\circ }}\] done
clear
D)
\[{{288}^{{}^\circ }}\] done
clear
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question_answer3)
In a quadrilateral PQRS, \[\angle \mathbf{P}:\angle \mathbf{Q}:\angle \mathbf{R}:\angle \mathbf{S}=\mathbf{2}:\mathbf{3}:\mathbf{3}:\mathbf{2}.\]Then QRS is a ______
A)
Parallelogram done
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B)
Isosceles trapezium done
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C)
Rectangle done
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D)
square done
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question_answer4)
BEST is a rhombus in which \[\angle \mathbf{T}=\mathbf{12}{{\mathbf{0}}^{{}^\circ }}\]and \[TE=6cm.\]The perimeter of the rhombus is ___cm
A)
24cm done
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B)
12cm done
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C)
18cm done
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D)
30cm done
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question_answer5)
A rectangle in which the diagonals are perpendicular is called a _____
A)
Rhombus done
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B)
Square done
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C)
Both A & B done
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D)
None of these done
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question_answer6)
The angles of a quadrilateral are in the ratio 6 : 7 : 8 : 9, then which of the following can be concluded?
A)
Exactly two angles are obtuse done
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B)
Two pairs of angles are supplementary done
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C)
Both A & B done
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D)
None of these done
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question_answer7)
In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1:2:3:4, Then the measure of each angles of the quadrilateral is
A)
\[{{36}^{{}^\circ }},{{72}^{{}^\circ }},{{108}^{{}^\circ }},{{144}^{{}^\circ }}\] done
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B)
\[{{45}^{{}^\circ }},{{110}^{{}^\circ }},{{55}^{{}^\circ }},{{150}^{{}^\circ }}\] done
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C)
\[{{15}^{{}^\circ }},{{130}^{{}^\circ }},{{45}^{{}^\circ }},{{150}^{{}^\circ }}\] done
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D)
none of these done
clear
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question_answer8)
Sides BA and DC of a quadrilateral ABCD are produced as shown in figure, then \[\angle \mathbf{a}+\angle \mathbf{b}\] is equal to
A)
\[\angle x-\angle y\] done
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B)
\[\angle x+\angle y\] done
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C)
\[\angle x+\angle 2y\] done
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D)
none of these done
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question_answer9)
The ratio of two sides of a parallelogram is as 3 : 5, and its perimeter is 48 m, then the sides of the parallelogram is
A)
9 m, 15 m done
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B)
3 m, 5 m done
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C)
33 m, 25 m done
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D)
none of these done
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question_answer10)
The opposite angles of a parallelogram are \[{{\left( \mathbf{3x}+\mathbf{5} \right)}^{{}^\circ }}\]and\[{{\left( \mathbf{61}-\mathbf{x} \right)}^{{}^\circ }}\]. Find the measure of four angles.
A)
\[{{47}^{{}^\circ }},{{133}^{{}^\circ }},{{47}^{{}^\circ }},{{133}^{{}^\circ }}\] done
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B)
\[{{80}^{{}^\circ }},{{100}^{{}^\circ }},{{80}^{{}^\circ }},{{100}^{{}^\circ }}\] done
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C)
\[{{77}^{{}^\circ }},{{103}^{{}^\circ }},{{77}^{{}^\circ }},{{103}^{{}^\circ }}\] done
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D)
\[{{94}^{{}^\circ }},{{86}^{{}^\circ }},{{94}^{{}^\circ }},{{86}^{{}^\circ }}\] done
clear
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question_answer11)
In figure, ABCD is \[\parallel \mathbf{gm}\] with \[\angle \mathbf{A}=\mathbf{8}{{\mathbf{0}}^{{}^\circ }},\]the internal bisectors of \[\angle \mathbf{B}\] and \[\angle \mathbf{C}\] meet at 0. Find the measure of three angles of ABCO
A)
\[{{30}^{{}^\circ }},{{60}^{{}^\circ }},{{90}^{{}^\circ }}\] done
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B)
\[{{40}^{{}^\circ }},{{50}^{{}^\circ }},{{90}^{{}^\circ }}\] done
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C)
\[{{60}^{{}^\circ }},{{60}^{{}^\circ }},{{60}^{{}^\circ }}\] done
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D)
\[{{70}^{{}^\circ }},{{50}^{{}^\circ }},{{60}^{{}^\circ }}\] done
clear
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question_answer12)
Find the measure of all angles of a parallelogram whose consecutive angles are in the ratio 1 : 3.
A)
\[{{60}^{{}^\circ }},{{120}^{{}^\circ }},{{60}^{{}^\circ }},{{120}^{{}^\circ }}\] done
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B)
\[{{85}^{{}^\circ }},{{95}^{{}^\circ }},{{85}^{{}^\circ }},{{95}^{{}^\circ }}\] done
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C)
\[{{50}^{{}^\circ }},{{130}^{{}^\circ }},{{50}^{{}^\circ }},{{130}^{{}^\circ }}\] done
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D)
\[{{45}^{{}^\circ }},{{135}^{{}^\circ }},{{45}^{{}^\circ }},{{135}^{{}^\circ }}\] done
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question_answer13)
A diagonal and a side of a rhombus are of equal length. Find the measure of the angles of the rhombus.
A)
\[{{60}^{{}^\circ }},{{120}^{{}^\circ }},{{60}^{{}^\circ }},{{120}^{{}^\circ }}\] done
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B)
\[{{45}^{{}^\circ }},{{45}^{{}^\circ }},{{135}^{{}^\circ }},{{135}^{{}^\circ }}\] done
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C)
\[{{85}^{{}^\circ }},{{95}^{{}^\circ }},{{85}^{{}^\circ }},{{95}^{{}^\circ }}\] done
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D)
\[{{80}^{{}^\circ }},{{100}^{{}^\circ }},{{80}^{{}^\circ }},{{100}^{{}^\circ }}\] done
clear
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question_answer14)
For which of the following, diagonals bisect each other?
A)
Square done
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B)
Kite done
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C)
Trapezium done
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D)
Quadrilateral done
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question_answer15)
If \[\mathbf{x}=\mathbf{y}\], then find the value of x in the trapezium ABCD given below
A)
\[60{}^\circ \] done
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B)
\[70{}^\circ \] done
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C)
\[80{}^\circ \] done
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D)
\[100{}^\circ \] done
clear
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question_answer16)
A quadrilateral whose opposite sides and all the angles are equal is a
A)
Rectangle done
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B)
Parallelogram done
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C)
Kite done
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D)
Rhombus done
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question_answer17)
What is the maximum number of obtuse angles that a quadrilateral can have?
A)
1 done
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B)
2 done
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C)
3 done
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D)
4 done
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question_answer18)
In the trapezium ABCD, the measure of \[\angle \mathbf{D}\] is
A)
\[{{55}^{{}^\circ }}\] done
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B)
\[{{115}^{{}^\circ }}\] done
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C)
\[{{135}^{{}^\circ }}\] done
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D)
\[{{125}^{{}^\circ }}\] done
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question_answer19)
If PQRS is a parallelogram, then \[\angle \mathbf{P}-\angle R\] is equal to
A)
\[{{60}^{{}^\circ }}\] done
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B)
\[~{{90}^{{}^\circ }}\] done
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C)
\[{{80}^{{}^\circ }}\] done
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D)
\[{{0}^{{}^\circ }}\] done
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question_answer20)
PQRS is a square, PR and SQ intersect at O. Then \[\angle \mathbf{POQ}\] is a
A)
Right angle done
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B)
Straight line done
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C)
Reflex angle done
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D)
Complete angle done
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question_answer21)
Adjacent sides of a rectangle are in the ratio 5 : 12, if the perimeter of the rectangle is 34 cm, find the length of the diagonal.
A)
13 cm done
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B)
12cm done
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C)
25 cm done
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D)
5 cm done
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question_answer22)
All the sides of a regular polygon are
A)
Parallel done
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B)
Equal in length done
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C)
Not parallel done
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D)
Not equal done
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question_answer23)
A parallelogram each of whose angles measures \[\mathbf{90}{}^\circ \]is
A)
Rectangle done
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B)
Rhombus done
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C)
Kite done
clear
D)
Trapezium done
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question_answer24)
Diagonals of a rectangle are: -
A)
equal to each other done
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B)
not equal done
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C)
one is double of the other done
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D)
none of these done
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question_answer25)
Diagonals of a parallelogram ____ each other.
A)
bisect done
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B)
equal to done
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C)
perpendicular to done
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D)
none of these done
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question_answer26)
Find the angle measure x in the figure.
A)
\[{{150}^{{}^\circ }}\] done
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B)
\[{{140}^{{}^\circ }}\] done
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C)
\[{{130}^{{}^\circ }}\] done
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D)
\[{{160}^{{}^\circ }}\] done
clear
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question_answer27)
Find the angle measure x in the figure.
A)
\[{{80}^{{}^\circ }}\] done
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B)
\[{{90}^{{}^\circ }}\] done
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C)
\[{{110}^{{}^\circ }}\] done
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D)
\[{{160}^{{}^\circ }}\] done
clear
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question_answer28)
In fig. BEST is a parallelogram. Find the value x, y and z
A)
\[{{100}^{{}^\circ }},{{90}^{{}^\circ }},{{70}^{{}^\circ }}\] done
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B)
\[{{90}^{{}^\circ }},{{60}^{{}^\circ }},{{70}^{{}^\circ }}\] done
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C)
\[{{60}^{{}^\circ }},{{110}^{{}^\circ }},{{70}^{{}^\circ }}\] done
clear
D)
\[{{100}^{{}^\circ }},{{100}^{{}^\circ }},{{80}^{{}^\circ }}\] done
clear
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question_answer29)
RENT is a rectangle. Its diagonals meet at O. Find x. If \[\mathbf{OR}=\mathbf{2x}+\mathbf{4}\]and \[\mathbf{OT}=\mathbf{3x}+\mathbf{l}\]
A)
3 done
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B)
4 done
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C)
5 done
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D)
6 done
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question_answer30)
In figure, abcd is a quadrilateral in which \[AB\parallel CD\] find x and y.
A)
\[{{100}^{{}^\circ }},{{60}^{{}^\circ }}\] done
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B)
\[{{90}^{{}^\circ }},{{50}^{{}^\circ }}\] done
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C)
\[{{110}^{{}^\circ }},{{70}^{{}^\circ }}\] done
clear
D)
\[{{120}^{{}^\circ }},{{60}^{{}^\circ }}\] done
clear
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question_answer31)
ABCD is a cyclic quadrilateral and 0 is the centre of the circle If \[\angle COD={{120}^{{}^\circ }}\]and \[\angle \mathbf{BAC}=\mathbf{6}{{\mathbf{0}}^{{}^\circ }}\], then the value of \[\angle \mathbf{BCD}\] is equal to
A)
\[{{70}^{{}^\circ }}\] done
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B)
\[{{90}^{{}^\circ }}\] done
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C)
\[{{60}^{{}^\circ }}\] done
clear
D)
\[{{80}^{{}^\circ }}\] done
clear
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question_answer32)
PQRS is a trapezium in which \[\mathbf{PS}\parallel \mathbf{QR}\] and \[\mathbf{PQ}=\mathbf{SR}=\mathbf{12}\]m, then the distance of PS from QR is:
A)
\[10\sqrt{2}m\] done
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B)
\[4\sqrt{2}m\] done
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C)
\[5\sqrt{2}m\] done
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D)
\[6\sqrt{2}m\] done
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question_answer33)
The sides QP and SR of quadrilateral PQRS are produced as shown in figure Also, \[(\mathbf{PQ}\parallel \mathbf{SR})\]. Then which of the following statements is correct?
A)
\[2{{x}^{{}^\circ }}+{{y}^{{}^\circ }}={{a}^{{}^\circ }}+{{b}^{{}^\circ }}\] done
clear
B)
\[{{x}^{{}^\circ }}+\frac{1}{2}{{y}^{{}^\circ }}=\frac{{{a}^{{}^\circ }}+{{b}^{{}^\circ }}}{2}\] done
clear
C)
\[{{x}^{{}^\circ }}+{{y}^{{}^\circ }}={{a}^{{}^\circ }}+{{b}^{{}^\circ }}\] done
clear
D)
\[{{x}^{{}^\circ }}+{{a}^{{}^\circ }}={{y}^{{}^\circ }}+{{b}^{{}^\circ }}\] done
clear
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question_answer34)
If ABCD is a quadrilateral whose diagonals AC and BD intersect at 0, then:
A)
\[\left( AB+BC+CD+DA \right)<\left( AC+BD \right)\] done
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B)
\[\left( AB+BC+CD+DA \right)>2\left( AC+BD \right)\] done
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C)
\[\left( AB+BC+CD+DA \right)>\left( AC+BD \right)\] done
clear
D)
\[AB+BC+CD+DA-2\left( AC+BD \right)\] done
clear
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question_answer35)
In the adjoining figure, ABCD is a quadrilateral in which AB is the longest side and CD is the shortest side, then:
A)
\[\angle C>\angle A\,and\,\angle D>\angle B\] done
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B)
\[\angle C>\angle A\,and\,\angle B>\angle D\] done
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C)
\[\angle C<\angle A\,and\,\angle D<\angle B\] done
clear
D)
\[\angle C<\angle A\,and\,\angle D=\angle B\] done
clear
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question_answer36)
In the given figure, ABCD is a square. A line segment DX cuts the side BC at X and the diagonal AC at O Such that \[\angle \mathbf{COD}=\mathbf{11}{{\mathbf{5}}^{{}^\circ }}\]and \[\angle \mathbf{OXC}={{\mathbf{x}}^{{}^\circ }}\]. The value of x is:
A)
\[{{40}^{{}^\circ }}\] done
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B)
\[{{70}^{{}^\circ }}\] done
clear
C)
\[{{80}^{^{{}^\circ }}}\] done
clear
D)
\[{{85}^{{}^\circ }}\] done
clear
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question_answer37)
In the given figure \[\mathbf{AE}=\mathbf{BC}\] and \[\mathbf{AE}\parallel \mathbf{BC}\] and the three sides AB, CD and ED are equal in length. If \[\angle \mathbf{A}=\mathbf{10}{{\mathbf{5}}^{{}^\circ }}\], find measures of \[\angle \mathbf{BCD}:\]
A)
\[{{138}^{{}^\circ }}\] done
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B)
\[{{165}^{{}^\circ }}\] done
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C)
\[{{88}^{{}^\circ }}\] done
clear
D)
None of these done
clear
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question_answer38)
A point X inside a rectangle PQRS is joined to the vertices then, which of the following is true?
A)
area\[\left( \Delta PSX \right)=area\left( \Delta PXQ \right)\] done
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B)
area\[\left( \Delta PSX \right)\]+area\[\left( \Delta PXQ \right)\]=area(RSX) area\[\left( \Delta RQX \right)\] done
clear
C)
area\[\left( \Delta PXS \right)\]+area\[\left( \Delta RXQ \right)\]=area\[\left( \Delta SRX \right)\] +area\[\left( \Delta PXQ \right)\] done
clear
D)
None of these done
clear
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question_answer39)
In the adjoining figure, the value of x and y are: (If ABCD is parallelogram)
A)
\[{{5}^{{}^\circ }},{{4}^{{}^\circ }}\] done
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B)
\[{{3}^{{}^\circ }},{{4}^{{}^\circ }}\] done
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C)
\[{{2}^{{}^\circ }},{{1}^{{}^\circ }}\] done
clear
D)
None of these done
clear
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question_answer40)
In the adjoining figure, ABCD is a parallelogram and E, F are the centroids of \[\Delta \mathbf{ABC}\] and \[\Delta \mathbf{ACD}\] respectively, then EF equals:
A)
AE done
clear
B)
BE done
clear
C)
CE done
clear
D)
DE done
clear
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