Question 1 :
If $ABCD$ is a parallelogram with diagonals intersecting at $O$, then the number of distinct pairs of congruent triangles formed is:
Question 2 :
Two adjacent angles of a parallelogram are $(2x + 30)^{\circ}$ and $(3x + 30)^{\circ}$. The value of $x$ is :<br/>
Question 3 :
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 4 :
State true or false:For the case of a parallelogram the bisectors of opposite angles are not parallel to each other.<br/>
Question 5 :
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 6 :
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 7 :
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 8 :
State true or false:For the case of a parallelogram the bisectors of any two adjacent angles intersect at $90^{0}$.<br/>
Question 9 :
In parallelogram ABCD, $\angle A  = 3 \angle B$. In the same parallelogram, if AB $= 5x-7$ and $CD = 3x + 1$; find the length of CD.
Question 10 :
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 11 :
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 12 :
In a $\triangle DEF$; $A,B$ and $C$ are the mid-points of $EF,FD$ and $DE$ respectively. If the area of $\triangle DEF$ is $14.4{ cm }^{ 2 }$, then find the area of $\triangle {ABC}$.
Question 13 :
The angles of a quadrilateral are in the ratio 3 : 2 : 4 : 1. Find the angles. Assign a special name to the quadrilateral.
Question 14 :
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 15 :
If in quadrilateral $ABCD$, $AB \parallel CD$, then $ABCD$ is necessarily a
Question 16 :
$ABCD$ 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 17 :
The area of the parallelogram with vertices $(0,0), (7,2),(5,9)$ and $(12,11)$ is
Question 18 :
Opposite angles of a quadrilateral $ABCD$ are equal. If $AB = 4$ cm, determine $CD$.<br/>
Question 19 :
P is a point on side BC of a parallelogram ABCD. If DP produced meet AB produced at point L, then<br/>$DP:PL=DC: BL$<br/>
Question 20 :
Suppose the triangle ABC has an obtuse angle at C and let D be the midpoint of side AC Suppose E is on BC such that the segment DE is parallel to AB. Consider the following three statements<br/>i) E is the midpoint of BC<br/>ii) The length of DE is half the length of AB<br/>iii) DE bisects the altitude from C to AB
Question 21 :
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 22 :
If the lengths of the medians $AD, BE$ and $CF$ of the triangle $ABC$, are $6,8,10$ respectively, then<br>
Question 23 :
Find the angles of a parallelogram if one angle is three times another.
Question 24 :
In a rhombus $PQRS$, side $PQ=17cm$ and diagonal $PR=16cm$. Calculate the area of the rhombus.
Question 25 :
If the diagonals AC and BD of a quadrilateral ABCD bisect each other, then ABCD is a :<br/>
