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question_answer1)
ABCD is a quadrilateral. If AC and BD bisect each other, what is ABCD?
A)
A square done
clear
B)
A parallelogram done
clear
C)
A rectangle done
clear
D)
All the above done
clear
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question_answer2)
ABCD is a parallelogram. The angle bisectors of \[\angle A\] and \[\angle D\] meet at O. What is the measure of \[\angle AOD\]?
A)
\[{{45}^{o}}\] done
clear
B)
\[{{90}^{o}}\] done
clear
C)
\[{{75}^{o}}\] done
clear
D)
\[{{180}^{o}}\] done
clear
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question_answer3)
The diagonal of a rectangle is \[10\text{ }cm\] and its breadth is\[6\text{ }cm\]. What is its length?
A)
\[6\text{ }cm\] done
clear
B)
\[5\,\,cm\] done
clear
C)
\[8\,\,cm\] done
clear
D)
\[4\,\,cm\] done
clear
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question_answer4)
ABCD and MNOP are quadrilaterals as shown in the figure.
Which of the following is correct?
A)
\[p+q+r+s=w+x+y+z\] done
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B)
\[p+q+r+s<w+x+y+z\] done
clear
C)
\[p+q+r+s>w+x+y+z\] done
clear
D)
Either (B) or (C) done
clear
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question_answer5)
What do you call a parallelogram which has equal diagonals?
A)
A trapezium done
clear
B)
A rectangle done
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C)
A rhombus done
clear
D)
A kite done
clear
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question_answer6)
In a square ABCD, the diagonals bisect at O. What type of a triangle is AOB?
A)
An equilateral triangle. done
clear
B)
An isosceles but not a right angled triangle. done
clear
C)
A right angled but not an isosceles triangle. done
clear
D)
An isosceles right angled triangle. done
clear
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question_answer7)
The perimeter of a parallelogram is\[180\text{ }cm\]. If one side exceeds the other by \[10\text{ }cm,\] what are the sides of the parallelogram?
A)
\[40\text{ }cm,\text{ }50\text{ }cm~\] done
clear
B)
\[45\text{ }cm\] each done
clear
C)
\[50\text{ }cm\] each done
clear
D)
\[45\text{ }cm,\text{ }50\text{ }cm\] done
clear
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question_answer8)
In the quadrilateral ABCD, the diagonals AC and BD are equal and perpendicular to each other. What type of a quadrilateral is ABCD?
A)
A square done
clear
B)
A parallelogram done
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C)
A rhombus done
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D)
A trapezium done
clear
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question_answer9)
ABCD is a parallelogram as shown in the figure. If \[AB=2AD\]and P is the mid-point of AB, what is the measure of \[\angle CPD\]?
A)
\[{{90}^{o}}\] done
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B)
\[{{60}^{o}}\] done
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C)
\[{{45}^{o}}\] done
clear
D)
\[{{135}^{o}}\] done
clear
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question_answer10)
In a parallelogram ABCD, if \[AB=2x+5,\]\[CD~=y+1,\] \[AD=y+5~\] and \[BC=3x-4,\]what is the ratio of AB and BC?
A)
\[71:21\] done
clear
B)
\[12:11\] done
clear
C)
\[31:35\] done
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D)
\[4:7\] done
clear
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question_answer11)
If ABCD is an isosceles trapezium, what is the measure of \[\angle C\]?
A)
\[\angle B\] done
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B)
\[\angle A\] done
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C)
\[\angle D\] done
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D)
\[{{90}^{o}}\] done
clear
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question_answer12)
A diagonal of a rectangle is inclined to one side of the rectangle at \[{{25}^{o}}\]. What is the measure of the acute angle between the diagonals?
A)
\[{{25}^{o}}\] done
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B)
\[{{40}^{o}}\] done
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C)
\[{{50}^{o}}\] done
clear
D)
\[{{55}^{o}}\] done
clear
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question_answer13)
If angles P, Q, R and S of the quadrilateral PQRS, taken in order, are in the ratio \[3:7:6:4,\]what is PQRS?
A)
A rhombus done
clear
B)
A parallelogram done
clear
C)
A trapezium done
clear
D)
A kite done
clear
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question_answer14)
If AB and CD are diameters, what is ACBD?
A)
A square done
clear
B)
A trapezium done
clear
C)
An isosceles trapezium done
clear
D)
A rectangle done
clear
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question_answer15)
If two adjacent angles of a parallelogram are in the ratio \[3:2,\]what are their measures?
A)
\[{{108}^{o}},{{72}^{o}}\] done
clear
B)
\[{{72}^{o}},{{36}^{o}}\] done
clear
C)
\[{{100}^{o}},{{80}^{o}}\] done
clear
D)
\[{{144}^{o}},{{36}^{o}}\] done
clear
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question_answer16)
ABC and DEF are straight lines.
Find the value of 'x',
A)
\[{{60}^{o}}\] done
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B)
\[{{70}^{o}}\] done
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C)
\[{{80}^{o}}\] done
clear
D)
\[{{85}^{o}}\] done
clear
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question_answer17)
ABCD is a rectangle. Its diagonals meet at O.
Find x; if \[OA=2x+4\]and \[OD=3x+1\].
A)
\[2\] done
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B)
\[3\] done
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C)
\[-3\] done
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D)
\[-2\] done
clear
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question_answer18)
ABCD is a rhombus.
Find the respective values of x, y and z.
A)
\[12,5,13\] done
clear
B)
\[5,12,13\] done
clear
C)
\[5,13,5\] done
clear
D)
\[12,13,5\] done
clear
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question_answer19)
In the figure, ABCD is a parallelogram.
Find the respective values of x, y and z.
A)
\[{{100}^{o}},\text{ }{{80}^{o}},\text{ }{{100}^{o}}\] done
clear
B)
\[{{100}^{o}},\text{ }{{100}^{o}},\text{ }{{80}^{ol}},\] done
clear
C)
\[{{80}^{o}},{{100}^{o}},{{100}^{o}}\] done
clear
D)
\[{{80}^{o}},{{80}^{o}},{{100}^{o}}\] done
clear
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question_answer20)
In the figure, ABCD is a rhombus and ABDE is a parallelogram.
Given that EDC is a straight line and \[\angle AED={{36}^{o}}\] find \[\angle BAD\].
A)
\[{{36}^{o}}\] done
clear
B)
\[{{72}^{o}}\] done
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C)
\[{{108}^{o}}\] done
clear
D)
\[{{120}^{o}}\] done
clear
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question_answer21)
Four of the angles of a pentagon are of equal size. The remaining angle is\[{{120}^{o}}\].
Find the value of each of the equal angles.
A)
\[{{210}^{o}}\] done
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B)
\[{{110}^{o}}\] done
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C)
\[{{540}^{o}}\] done
clear
D)
\[{{105}^{o}}\] done
clear
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question_answer22)
Each interior angle of a regular polygon is \[{{150}^{o}}\] How many sides has the polygon?
A)
\[8\] done
clear
B)
\[12\] done
clear
C)
\[9\] done
clear
D)
\[10\] done
clear
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question_answer23)
In the figure, ABCD is a trapezium and \[AD=AE\].
Find the value of x'.
A)
\[{{30}^{o}}\] done
clear
B)
\[{{40}^{o}}\] done
clear
C)
\[{{60}^{o}}\] done
clear
D)
\[{{50}^{o}}\] done
clear
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question_answer24)
The figure shows a hexagon ABCDEF. \[\angle A=\angle D={{100}^{o}}\].The other angles are of the same size.
Find \[\angle ABC\].
A)
\[{{100}^{o}}\] done
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B)
\[{{110}^{o}}\] done
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C)
\[{{130}^{o}}\] done
clear
D)
\[{{120}^{o}}\] done
clear
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question_answer25)
Each interior angle of a regular polygon is \[{{162}^{o}}\] How many sides has the polygon?
A)
\[12\] done
clear
B)
\[20\] done
clear
C)
\[16\] done
clear
D)
\[10\] done
clear
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question_answer26)
ABCD is a quadrilateral such that \[AB=BC,\] \[AD=\frac{1}{2}CD\] and \[AD=\frac{1}{4}AB\]. If \[BC=12\text{ }cm,\]what is the measure of AD?
A)
\[6\,cm\] done
clear
B)
\[4\,cm\] done
clear
C)
\[12\,cm\] done
clear
D)
\[3\,cm\] done
clear
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question_answer27)
In the figure given, \[BD||AE\]. If \[\overline{CE}=3cm,\] what is the length of \[\overline{AC}\]?
A)
\[4\] done
clear
B)
\[3\sqrt{3}\] done
clear
C)
\[3\] done
clear
D)
\[5\] done
clear
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question_answer28)
How many measurements are required to construct a quadrilateral?
A)
\[5\] done
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B)
\[4\] done
clear
C)
\[3\] done
clear
D)
\[2\] done
clear
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question_answer29)
How many unique measurements are needed to construct a parallelogram?
A)
\[2\] done
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B)
\[3\] done
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C)
\[4\] done
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D)
\[1\] done
clear
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question_answer30)
What is the minimum number of dimensions needed to construct a rectangle?
A)
\[1\] done
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B)
\[2\] done
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C)
\[3\] done
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D)
\[4\] done
clear
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question_answer31)
What is the minimum number of measurements needed to construct a square?
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_answer32)
In the diagram, KLMN is a constructed parallelogram. What is the measure of \[\angle KLM\]?
A)
\[{{15}^{o}}\] done
clear
B)
\[{{30}^{o}}\] done
clear
C)
\[{{45}^{o}}\] done
clear
D)
\[{{60}^{o}}\] done
clear
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question_answer33)
The construction of which figure is shown in the given figure?
A)
A trapezium done
clear
B)
A rhombus done
clear
C)
A rectangle done
clear
D)
A kite done
clear
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question_answer34)
In the figure, ABCD is a rhombus. AEC and BED are straight lines.
What is the value of \[p+q+r+s+t\]?
A)
\[{{200}^{o}}\] done
clear
B)
\[{{270}^{o}}\] done
clear
C)
\[{{360}^{o}}\] done
clear
D)
\[{{540}^{o}}\] done
clear
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question_answer35)
In a trapezium ABCD, AB is parallel to CD and the diagonals intersect each other at O. What is the ratio of OA and OC?
A)
\[\frac{OB}{OD}\] done
clear
B)
\[\frac{BC}{CD}\] done
clear
C)
\[\frac{AD}{AB}\] done
clear
D)
\[\frac{AC}{BD}\] done
clear
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question_answer36)
In \[\Delta ABC,\] P and Q are the midpoints of AB and AC. If PQ is produced to R such that \[PQ=QR,\]what is PRCB?
A)
A rectangle done
clear
B)
A square done
clear
C)
A rhombus done
clear
D)
A parallelogram done
clear
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question_answer37)
Three angles of a quadrilateral are equal and the measure of the fourth angle is \[{{120}^{o}}\]. Find the measure of each of these equal angles.
A)
\[{{80}^{o}}\] done
clear
B)
\[{{120}^{o}}\] done
clear
C)
\[{{60}^{o}}\] done
clear
D)
\[{{140}^{o}}\] done
clear
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question_answer38)
A quadrilateral has three acute angles, each measuring \[{{75}^{o}}\] Find the measure of the fourth angle.
A)
\[{{65}^{o}}\] done
clear
B)
\[{{135}^{o}}\] done
clear
C)
\[{{140}^{o}}\] done
clear
D)
\[{{225}^{o}}\] done
clear
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question_answer39)
In the figure given, PTU is a straight line.
What is the value of x'?
A)
\[{{100}^{o}}\] done
clear
B)
\[{{110}^{o}}\] done
clear
C)
\[{{120}^{o}}\] done
clear
D)
\[{{130}^{o}}\] done
clear
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question_answer40)
Equilateral \[\Delta \,ABC\]is drawn on the side \[AB\] of square, ABDE.
Find the measure of Y shown in the figure.
A)
\[{{45}^{o}}\] done
clear
B)
\[{{135}^{o}}\] done
clear
C)
\[{{255}^{o}}\] done
clear
D)
\[{{225}^{o}}\] done
clear
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question_answer41)
What is the measure of \[\angle XYW\] of the trapezium WXYZ given in the figure?
A)
\[{{28}^{o}}\] done
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B)
\[{{33}^{o}}\] done
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C)
\[{{55}^{o}}\] done
clear
D)
\[{{37}^{o}}\] done
clear
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question_answer42)
In the given rectangle PQRS, find the measure of \[\angle POQ\]
A)
\[{{47}^{o}}\] done
clear
B)
\[{{24}^{o}}\] done
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C)
\[{{67}^{o}}\] done
clear
D)
\[{{58}^{o}}\] done
clear
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question_answer43)
The figure given is made up of a square and two isosceles triangles.
What is the measure of the angle marked m?
A)
\[{{105}^{o}}\] done
clear
B)
\[{{95}^{o}}\] done
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C)
\[{{135}^{o}}\] done
clear
D)
\[{{85}^{o}}\] done
clear
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question_answer44)
\[\Delta \,\,BEF\] and \[\Delta \,\,FED\]are two isosceles w triangles in the square ABCD.
What is the measure of \[\angle FBE\]?
A)
\[{{85}^{o}}\] done
clear
B)
\[{{65}^{o}}\] done
clear
C)
\[{{50}^{o}}\] done
clear
D)
\[{{130}^{o}}\] done
clear
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