Question 3 :
Which of the following is correct regarding the diagonals of a rhombus ?
Question 4 :
The adjacent angles of a rhombus are 3x - $\displaystyle 40^{\circ}$ and 2x + $\displaystyle 20^{\circ}$ Then the measurement of the greater angle is
Question 5 :
The area of rhombus is $84$ sq.cm and the length of one of the diagonals is $24cm$. The length of the other diagonal is:
Question 6 :
State whether the statements are true (T) or (F) false.<br>All rhombuses are squares.
Question 7 :
If the diagonals of a quadrilateral bisect each other at right angles, then it is a
Question 8 :
Two adjacent angles of a rhombus are $3x - 40^{\circ}$ and $2x + 20^{\circ}$. The measurement of the greater angle is:<br/>
Question 10 :
........................has the same properties of that of a rhombus but not a rectangle.
Question 11 :
$\square ABCD$ is a rhombus. If $ABCD = 160$ and $AC = 16$ then $BD =$ ________.
Question 12 :
The diagonals of a rhombus are bisecting angles and are .............. .
Question 13 :
If diagonals of a quadrilateral are not conjugate and bisect at right angle, then such quadrilateral is known as ___________.
Question 14 :
Two sides of a rhombus are along the lines, $x-y+1=0$ and $7x-y-5=0$. If its diagonals intersect at $(-1, -2)$, then which one of the following is a vertex of this rhombus?
Question 15 :
If the perimeter of a rhombus is $36$ cm. what is the length of each side?
Question 16 :
The diagonals of rhombus are $24$ cm and $10$ cm. Then its perimeter is:
Question 18 :
The diagonals of a rhombus are $12 cm$ and $6 cm$. Find the length of side of the rhombus.
Question 19 :
State 'true' or 'false'If two adjacent sides of a parallelogram are equal, it is a rhombus.<br/>
Question 20 :
State whether True or False:All squares are rhombuses and also rectangles
Question 21 :
Given that ABCD is a parallelogram. If AC is perpendicular to BD but is not equal to it then ABCD is a Rhombus.<br/>
Question 22 :
State true or false:In rhombus ABCD. If $AD = 7.5$ cm, then $BC=CD$.<br/>
Question 25 :
The ..................... of a rectangle bisect each other and are equal.
Question 28 :
Which of the following is not the property of a rectangle?
Question 30 :
State true or false:The figure obtained by joining the mid-points of the adjacent sides of a rectangle is a Parallelogram.<br/>
Question 31 :
A quadrilateral whose each angle is a right angle is a
Question 33 :
State whether the following statement is true (T) or false (F):<br/>The diagonals of a rectangle are perpendicular to one another.
Question 34 :
ABCD is a rectangle such that $AC+AB=5 AD$ and $AC-AD=8$, then the area of rectangle ABCD is 
Question 35 :
The side of rectangle is $4cm,6cm$, then perimeter of rectangle is $20cm$
Question 36 :
Diagonals of a rectangle ABCD intersect at O. If $\angle$AOB$=70^o$, then $\angle$DCO is ___________.
Question 39 :
In a quadrilateral ABCD, $\angle$A = 90$^o$ and AB = BC = CD = DA, then ABCD is a ?
Question 40 :
A quadrilateral in which diagonals are equal and bisect each other perpendicularly is a ............
Question 41 :
The minimum number of measurements needed to construct a square is
Question 42 :
In square PQRS. if PQ $= 3x - 7 $ and $QR = x + 3$; find PS.
Question 43 :
Explain how a square is a quadrilateral<br/><br/><b>Answer: </b>A square is 4  sided, so it is a quadrilateral.<br/>
Question 44 :
Which of the following is not the property of a square?
Question 45 :
$ABCD$ is rectangle in which diagonal $BD$ beisects $\angle B$ then, $ABCD$ is a 
Question 47 :
In a  figure ABCD is a square and AEB is equilateral. Find angle $\angle AOB$
Question 48 :
If the diagonals of a parallelogram are equal, then it is a ____
Question 49 :
Say True or False.<br>The diagonals of a square are perpendicular to one another.<br>
Question 51 :
If two adjacents angles of a parallelogram are in ratio 3 : 9, then measure of smallest angle is
Question 52 :
The interior angles of a pentagon are in the ratio $2 : 3 : 4 : 5 : 6$ respectively. Then sum of the first and second angle is
Question 53 :
Is it possible to have a regular polygon whose each interior angle is $\displaystyle 145^{\circ}$
Question 54 :
The quadrangle with the vertices $A(-3, 5, 6), B(1, -5, 7), C(8, -3, -1)$ and $D(4, 7, -2)$ is a<br/>
Question 55 :
Two adjacent angles of a parallelogram are $2x+ 30$ and $5x + 30$. Then the value of $x$ is ___ .<br/>
Question 56 :
L and M are the mid-points of sides AB and DC respectively of parallelogram ABCD. Prove that segments DL and BM trisect diagonal AC. StateTrue or False.
Question 59 :
If an angle of a regular polygon is ${165^0}$,then the number of sides of the polygon is
Question 60 :
Is it possible to have a regular polygon whose each interior angle is $\displaystyle 150^{\circ}$
Question 61 :
The angles of quadrilateral are in the ratio $5:10:12:18$. Find smallest angle.
Question 62 :
The length of the diagonals of a rhombus are $16cm$ and $12cm.$ The length of each side of the rhombus is
Question 63 :
A rectangle with one side equal to 6 cm is inscribed in a circle of radius 5 cm. Then what is the area of the rectangle?
Question 64 :
Which regular polygon has the least measure of an interior angle?
Question 65 :
The difference between an exterior angle of (n - 1) sided regular polygon and an exterior angle of (n + 2) sided regular polygon is $6^{\circ}$. Find the value of n.
Question 66 :
Let ABCD be a parallelogram.Let AP, CQ be the $\perp$ from A and C on its diagonal BD. Which of the following is true.
Question 67 :
Two angles of an eight sided polygon are$\displaystyle 142^{\circ}$and $\displaystyle 176^{\circ}$. If the remaining angles areequal to each other; find the magnitude ofeach of the equal angles.
Question 68 :
Which of the following is not true for a parallelogram ?
Question 69 :
State True or FalseThe quadrilateral, whose four sides are equal is a square<br/>
Question 70 :
$ABCD$ is a square with centre $O$. If $X$ is on the side $CD$ such that $DX=DO$, find the ratio $\angle DOX:\angle XOC$
Question 71 :
If all the angles of a 14-sided figure are equal, then the measure of each angle is equal to ?
Question 72 :
Three angles of a seven sided polygon are $132^{\circ}$ each and the remaining four angles are equal. Find the value of each equal angle.
Question 73 :
How many sides does a polygon have whose sum of the interior angles is ${1980}^{o}$?
Question 74 :
Let the  formula relation the exterior angle and number of sides of a polygon be given as $nA = 360$.<br/>The measure $A$, in degrees, of an exterior angle of a regular polygon is related to the number of sides, $n$, of the polygon by the formula above. If the measure of an exterior angle of a regular polygon is greater than $50$, what is the greatest number of sides it can have?<br/>
Question 75 :
State true or false:<br/>$ D, E $ and $ F $ are the mid-points of the sides $ AB, BC $ and $ CA $ respectively of $ \triangle ABC $.  $AE $ meets  $ DF $ at $ O $. $ P $ and $ Q $ are the mid-points of $ OB $ and $ OC $ respectively. Then $ DPQF $ is a parallelogram.
Question 76 :
Sum of measures of angles of a Nonagon is $1260^o$. Find how much each angle is measured.
Question 77 :
Two alternate sides of a regular polygon, when produced, meet at a right angle. Find the number of sides of the polygon. 
Question 78 :
If the diagonals of a quadrilateral bisect one another at right angles, then the quadrilateral is a-
Question 79 :
The points $A(-4, -1), B(-2, -4), C(4, 0) and D(2, 3)$ are the vertices of which of the following polygons ?<br>
Question 80 :
Find the number of sides in a polygon if the sum of its interior angles is $900^{\circ}$.<br/>
Question 81 :
Two regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of measure of their interior angles is 3:4. The number of sides of each polygon is
Question 82 :
One side of a parallelogram has length $3$ and another side has length $4$. Let $a$ and $b$ denote the lengths of the diagonals of the parallelogram. Which of the following quantities can be determined from the given information ?<br/>(l) a$  +  b$      (II)$\  a^{2}+b^{2}$      (III)$\  a^{3}+b^{3}$<br/>
Question 83 :
What is the minimum interior angle in degrees possible for a regular polygon? <br/>
Question 84 :
Let $m$ be the slope of tangent to the curve $e^{2y}=1+x^{2}$ then set of allvalues of $m$ is :
Question 85 :
The perimeter of a parallelogram $ABCD= 40$ cm, $AB= 3x$ cm, $BC= 2x$ cm and $CD= 2\left ( y\, +\, 1 \right )$ cm. Find the values of $x$ and $y$.<br/>
Question 87 :
How many sides does a regular polygon have, if measure of each of its interior angle is ${160}^{o}$?
Question 88 :
In parallelogram $ABCD$, $AB= \left ( 3x\, -\, 4 \right )$ cm,  $BC= \left ( y\, -\, 1 \right )$ cm, $CD= \left ( y\, +\, 5 \right )$ cm and $AD= \left ( 2x\, +\, 5 \right )$ cm. Find the ratio $AB\, :\, BC$.<br/>
Question 90 :
Find the number of sides in a regular polygon, if its each interior angle is $135^{\circ}$.
Question 91 :
Find the number of sides in a regular polygon, if its each exterior angle is $\dfrac{1}{3}$ of a right angle
Question 92 :
State true or false:In rectangle ABCD, the bisectors of angles B and C meet at point O, then the triangle OBC is an isosceles right triangle.
Question 93 :
Two consecutive angles of a parallelogram are in the ratio $1 : 3$, then the smaller angle is :<br/>
Question 94 :
The sum of the interior angles of a $12$-sided regular polygon is equal to:
Question 95 :
In a polygon, there are $5$right angles and theremaining angles are equal to$\displaystyle 195^{o}$each. Findthe number of sides in the polygon.
Question 96 :
How many sides does a polygon have if the sum of the measures of its internal angles is five times as large as the sum of the measures of its exterior angles?
Question 97 :
A quadrilateral in which both pairs of opposite sides are parallel is a...........
Question 98 :
The interior angles of a convex polygon are in AP. The smallest angle is $120^o$ & the common difference is $5^o$. Find the number of sides of the polygon.
Question 99 :
Is it possible to have a polygon, whose sum of interior angles is $4500^{\circ}$?<br/>State true or false:<br/><br/>
Question 100 :
Say true or false.It is possible to have a regular polygon with the measure of each exterior angle as $22^{0}.$<br/>
Question 101 :
A diagonal of a rectangle is inclined to one side of the rectangle at $25^o$. Find the acute angle between the diagonals.
Question 102 :
Points X and Y are taken on the sides QR and RS, respectively of a parallelogram PQRS, so that $QX=4\:XR$ and $RY=4\:YS$. The line XY cuts the line PR at Z. Find the ratio $PZ:ZR$
Question 103 :
$ABCD$ is a square. A line $AX$ meets the diagonal $BD$ at $X$ and $AX=2018\ cm$ the length of $CX$ (in\ cm) is
Question 104 :
Let ABCD be a parallelogram such that AB = q , AB = p, and $\angle BAD $ be an acute angle. If r is the vector that coincides with the altitude directed from the vertex B to the side AD, then r is given by
Question 105 :
Vertices of a parallelogram taken in order are$A\left( {2, - 1,4} \right);B\left( {1,0, - 1} \right);C\left( {1,2,3} \right)$ and $D$.<br>The distance between the parallel lines $AB$ and$CD$ is
