Question 1 :
If A $(-2, -1)$, B$ (a , 0)$, C$ ( 4, b)$ and D $(1, 1 )$ are the vertices of a parallelogram, then the values of $a$ and $b$ respectively are 
Question 2 :
In triangle$ABC$,$M$is mid-point of$AB$and a straight line through$M$andparallel to$BC$cuts$AC$in$N$. Find the lenghts of$AN$and$MN$if $ BC= 7$ cm and $ AC= 5 $ cm.
Question 3 :
Diagonals AC and BD of a parallelogram ABCD intersect each other at O.If OA = 3 cm and OD = 2 cm, determine the length of AC.<br/><br/>
Question 4 :
State true or false:<br/>In triangle  $ ABC  $,  $ P  $ is the mid-point of side  $ BC  $. A line through $ P  $ and Parallel to  $ CA  $ meets  $ AB  $ at point  $ Q  $; and a line through  $ Q  $ and parallel to  $ BC $ meets median  $ AP  $ at point  $ R  $. Can it be concluded that,$ AP= 2AR $ ?<br/><br/>
Question 5 :
State 'true' or 'false':The diagonals of a quadrilateral bisect each other.
Question 6 :
If the vertices of a quadrilateral be $A = 1 + 2i, B = -3 + i, c = -2 - 3i $ and $D = 2 - 2i$, then the quadrilateral is a:
Question 7 :
State true or false:For the case of a parallelogram the bisectors of any two adjacent angles intersect at $90^{0}$.<br/>
Question 8 :
Opposite angles of a quadrilateral $ABCD$ are equal. If $AB = 4$ cm, determine $CD$.<br/>
Question 9 :
Find the angles of a parallelogram if one angle is three times another.
Question 10 :
If the points A$ (a, -10)$, B $(6, b)$, C $(3, 16)$, D $(2, -1)$ are the vertices of a parallelogram ABCD, find the values of $a$ and $b$
Question 11 :
State true or false:For the case of a parallelogram the bisectors of opposite angles are not parallel to each other.<br/>
Question 12 :
Two adjacent angles of a parallelogram are $2x+ 30$ and $5x + 30$. Then the value of $x$ is ___ .<br/>
Question 13 :
If $P(1, 2), Q(4, 6), R(5, 7)$ and $S(a, b)$ are the vertices of a parallelogram $PQRS$, then:
Question 14 :
To construct a parallelogram, the minimum number of measurements required is
Question 15 :
In parallelogram $ABCD$, the bisectors of $\angle A$ and $\angle B$ intersect at $M$.If $\angle A=80^{o}$, then $\angle AMB=$.........
Question 16 :
If the lengths of the medians $AD, BE$ and $CF$ of the triangle $ABC$, are $6,8,10$ respectively, then<br>
Question 17 :
M is the midpoint of $\displaystyle\overline{AB}$. The coordinates of A are $(-2,3)$ and the coordinates of M are $(1,0)$. Find the coordinates of B.
Question 18 :
If ABCD is a quadrilateral then $\tan { \left( \dfrac { A+B }{ 4 } \right) } =$
Question 19 :
In a rhombus $PQRS$, side $PQ=17cm$ and diagonal $PR=16cm$. Calculate the area of the rhombus.
Question 20 :
ABCD a cyclic quadrilateral such that $12tan A-5=0$ and $5 cosB+3=0$, Then $39(cosC+ tan D)=$
Question 21 :
If in quadrilateral $ABCD$, $AB \parallel CD$, then $ABCD$ is necessarily a
Question 22 :
In a triangle $\triangle ABC$, points <i>P</i>, <i>Q</i> and <i>R</i> are the mid-points of the sides <i>AB</i>, <i>BC</i> and <i>CA</i> respectively. If the area of the triangle<i> ABC </i>is 20 sq.units, then area of the<i> </i>triangle<i> PQR</i> equal to:<br/>
Question 23 :
ABCD is a rhombus in which the altitude from D to side AB bisects AB. Then $\angle$A and $\angle$B respectively, are __________.
Question 24 :
Find the angles of a parallelogram if one angle is three times another.
Question 26 :
Two consecutive angles of a parallelogram are in the ratio $1 : 3$, then the smaller angle is :<br/>
Question 27 :
Diagonals AC and BD of a parallelogram ABCD intersect each other at O.If OA = 3 cm and OD = 2 cm, determine the length of AC.<br/><br/>
Question 28 :
Two adjacent angles of a parallelogram are $(2x + 30)^{\circ}$ and $(3x + 30)^{\circ}$. The value of $x$ is :<br/>
Question 29 :
The area of the parallelogram with vertices $(0,0), (7,2),(5,9)$ and $(12,11)$ is
Question 30 :
The ends of a diagonal of a parallelogram are $(3, -4)$and $(-6, 5)$, If the third vertex is $(-2, 1)$, then the fourth is-<br/>
Question 31 :
In parallelogram $ABCD$ . $P$ is a point on side $AB$ and $Q$ is a point on side $BC$, then$\bigtriangleup CPD\: $  and $\bigtriangleup AQD\: $ are equal in area.
Question 32 :
In triangle ABC, D and E are mid-points of sides AB and BC respectively. Also, F is a point in side AC so that DF is parallel to BC.Find the perimeter of parallelogram DBEF, if AB = 10 cm, BE = 8.4 cm and AC = 12 cm.
Question 33 :
Tangents <i>PA</i> and <i>PB</i> drawn to $ x^2+y^2=9 $ from any arbitrary point <i>'P</i>' on the line $ x+y=25 $. Locus of midpoint of chord <i>AB</i> is
Question 34 :
State true or false:In quadrilateral ABCD, the diagonals AC and BD intersect each at point O. If $AO=2CO$ and $BO=2DO$; Then, $\displaystyle OA \times OD=OB\times OC$.<br/>
Question 35 :
What is the maximum possible area of a quadrilateral with a perimeter of 80 centimeters?
Question 36 :
$M$ and $N$ are the midpoints of the diagonals $AC$ and $BD$ respectively of quadrilateral $ABCD$, then $\overline { AB } +\overline { AD } +\overline { CB } +\overline { CD } =$................
Question 37 :
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if <br/>
Question 38 :
Length of one of the diagonals of a rectangle whose sides are $ 10\,cm $ and $ 24\,cm $ is
Question 39 :
The perimeter of a parallelogram ABCD = 40 cm, AB = 3x cm, BC = 2x cm and CD = 2(y +1) cm. Find the values of x and y.
Question 40 :
In $\bigtriangleup \: ABC$ , $E$ and $F$ are mid-points of sides $AB$ and $AC$ respectively. If $BF$ and $CE$ intersect each other at point $O$, then the $\bigtriangleup \:OBC$ and quadrilateral $AEOF$ are equal in area.
Question 41 :
Let $n\geq 4$ be a positive integer and let $l_1, l_2,.... l_n$ be the lengths of the sides of arbitrary n-sided non-degenerate polygon P. Suppose $\displaystyle\frac{l_1}{l_2}+\frac{l_2}{l_3}+....+\frac{l_{n-1}}{l_n}+\frac{l_n}{l_1}=n$. Consider the following statements.<br>I. The lengths of the sides of P are equal.<br>II. The angles of P are equal.<br>III. P is a regular polygon if it is cycle. Then.<br>
Question 42 :
If in quadrilateral $ABCD$, $AB \parallel CD$, then $ABCD$ is necessarily a
Question 43 :
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 44 :
State true or false:In quadrilateral PQRS, $\angle P : \angle Q : \angle R : \angle S = 3 : 4 : 6 : 7$Is PS also parallel to QR?<br/>
Question 45 :
Diagonal AC of a rectangle ABCD is produced to the point E such that AC : CE =$ 2 : 1$, AB =$ 8$ cm and BC = $6$ cm. Find the length of DE (in cm) 
Question 46 :
Consider the following statements<br>(1) The bisectors of all the four angles of a parallelgram enclose a rectangle.<br>(2) The figure formed by joining the midpoints of the adjacent sides of rectangle is rhombus<br>(3) The figure formed by joining the midpoints of the adjacents sides of a rhombus is square
Question 47 :
If (3, -4) and (-6, 5) are the extremities of the diagonal of a parallelogram and (-2, 1) is its third vertex then its fourth vertex is
Question 48 :
The area of rectangle ABCD with vertices A (0,0), B (5,0), C (5, 6) and D (0,6) is 
Question 49 :
The angles of a quadrilateral are in the ratio 3 : 2 : 4 : 1. Find the angles. Assign a special name to the quadrilateral.
Question 50 :
If the bisectors of the angles $A$ and $B$ of a quadrilateral $ABCD$ meet at $O$, then $\angle AOB$ is equal to:
