Question 2 :
The adjacent angles of a parallelogram are as 2 : 3.Find the measures of all the angles

Question 3 :
The diagonals of a quadrilateral are equal and bisect each other. The quadrilateral has to be

Question 4 :
The four angles of a quadrilateral are as $3 : 5 : 7 :9$. Find the angles<br/>

Question 5 :
One side of a parallelogram is 8 cm. If thecorresponding altitude is 6 cm, then its area is given by

Question 7 :
The measure of an angle of a parallelogram is $70^0$. Find its remaining angles.

Question 8 :
State true or false:<br/>$&#160;D, E&#160;$&#160;and&#160;$&#160;F&#160;$&#160;are the mid-points of the sides&#160;$&#160;AB, BC&#160;$&#160;and &#160;$&#160;CA&#160;$&#160;of&#160;an&#160;isosceles&#160;$&#160;\bigtriangleup&#160;ABC&#160;$ &#160;in which $ AB= BC $. then<br/>&#160;$&#160;\bigtriangleup&#160;DEF&#160;$ &#160;is also isosceles.<br/><br/>

Question 9 :
State true or false:A diagonal divides a parallelogram&#160;into two triangles of equal areas.

Question 10 :
What is the sum of the measures of the angles of a convex quadrilateral? Will this property hold if the quadrilateral is not convex?<br>

Question 11 :
The four angles of a quadrilateral are as $3 : 5 : 7 :9$. Find the angles<br/>

Question 12 :
A quadrilateral-shaped photo-frame has all sides equal. Which of the following is not a possible shape for the photo-frame.

Question 13 :
The dimensions of rectangular field are $23x-10$ and $14x+8$ units. The values of $x$ for which it would be square is

Question 14 :
Which of the following is correct regarding the diagonals of a rhombus ?

Question 15 :
Area of the parallelogram formed by the lines<br>$y=mx, y=mx+1, y=nx$ and $y=nx+1$ equals<br>

Question 16 :
Find the midpoint of the segment connecting the points $(a, -b)$ and $(5a, 7b)$.

Question 17 :
In a quadrilateral ABCD, $\angle A + \angle C = 180^{\circ}$ then $\angle B + \angle D = $

Question 18 :
Two consecutive angles of parallelogram are in the ratio 1 : 3 Then the smaller angle is

Question 21 :
Two parallelograms stand on equal bases and between the same parallels. The ratio of their areas is

Question 24 :
If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the _______ side.<br/>

Question 25 :
State 'true' or 'false'The diagonals of a trapezium bisect each other.<br/>

Question 26 :
A quadrilateral has distinct integer side lengths. If the second-largest side has length $10$,then the maximum possible length of the largest side is<br>

Question 27 :
PQRS is a parallelogram and $\angle 1$ and $\angle 2$ are two&#160;exterior,angles, then&#160;$\angle 1=\angle 2=\angle 3=\angle 4$

Question 30 :
State whether the given Question is True or False?The diagonals of a parallelogram bisect each other.

Question 33 :
State true or false:<br/>In quadrilateral ABCD, the diagonals AC and BD intersect each each other at right angle, then&#160;$ AB^2 + CD^2 = AC^2 + DA^2$<br/><br/>

Question 34 :
Name the quadrilaterals whose diagonals bisect each other<br/><br/><b>Answer: </b>Parallelogram; rhombus; square; rectangle.<br/>

Question 35 :
The diagonals of rhombus are $24$ cm and $10$ cm. Then its perimeter is:

Question 36 :
Match the following.<table class="wysiwyg-table"><tbody><tr><td>$(1)$ Rectangle</td><td>(p) A quadrilateral having its opposite sides equal and parallel.</td></tr><tr><td>$(2)$ Square</td><td>(q) A parallelogram having its opposite sides equal and each of the angle is a right angle.</td></tr><tr><td>$(3)$ Parallelogram</td><td>(r) A parallelogram having all sides equal and each of the angle is a right angle.</td></tr><tr><td>$(4)$ Rhombus</td><td>(s) A quadrilateral in which a pair of opposite sides are parallel.</td></tr><tr><td>$(5)$ Trapezium</td><td>(t) A parallelogram having all sides equal.</td></tr></tbody></table>

Question 38 :
The perimeter of a parallelogram is ...................... when the sides are $12$ cm and $5$ cm.

Question 39 :
Explain how a square is a parallelogram<br/><br/><b>Answer: </b>A square has its opposite sides parallel, so, it is a parallelogram.<br/>

Question 40 :
If two parallel lines are cut by two distinct transversals, then the quadrilateral formed by these four lines will always be a:

Question 44 :
State true or false:<br/>In a parallelogram, the diagonals intersect at right angles

Question 45 :
In a quadrilateral $ABCD$, the angles $\angle A, \angle B, \angle C$ and $\angle D$ are in the ratio $2 : 3 : 4 : 6$. Find the measure of each angle of the quadrilateral

Question 46 :
Two opposite angles of a parallelogram are ${\left( {3x - 2} \right)^ \circ }$ and ${\left( {50 - x} \right)^ \circ }$. Find the value of $x$

Question 47 :
If the perimeter of a parallelogram is $50$ cm and one side is $12$ cm. what is the measure of the other side ?

Question 48 :
If an angle of a parallelogram is 24$^o$ less than twice the smallest angle, then the value of largest angle of the parallelogram is

Question 49 :
In a square ABeD, its diagonals bisect at O. Then the triangleAOB is

Question 50 :
Fill in the blank:<br/>Line joining the mid-points of any two sides of a triangle is _____ to the third side.<br/>