Question 3 :
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 5 :
One side of a parallelogram is 8 cm. If thecorresponding altitude is 6 cm, then its area is given by

Question 6 :
What is the maximum possible area of a parallelogram with one side of length 2 meters and a perimeter of 24 meters ?

Question 7 :
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 9 :
A quadrilateral-shaped photo-frame has all sides equal. Which of the following is not a possible shape for the photo-frame.

Question 10 :
If the perimeter of a parallelogram is $50$ cm and one side is $12$ cm. what is the measure of the other side ?

Question 12 :
The adjacent angles of a parallelogram are as 2 : 3.Find the measures of all the angles

Question 14 :
Fill in the blank:<br/>Line joining the mid-points of any two sides of a triangle is _____ to the third side.<br/>

Question 15 :
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 16 :
If two parallel lines are cut by two distinct transversals, then the quadrilateral formed by these four lines will always be a:

Question 17 :
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 19 :
If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the _______ side.<br/>

Question 20 :
Fill in the blanks:<br/>(i) The ling segment joining a vertex of a triangle to the midpoint of its opposite side is called a $\underline { P } $ of the triangle.<br/>(ii) The perpendicular line segment from a vertex of a triangle to its opposite is called an $\underline { Q } $ of the triangle<br/>(iii) A triangle has $\underline { R } $ altitudes and $\underline { S } $ medians

Question 22 :
ABCD is a rectangle such that $AC+AB=5 AD$ and $AC-AD=8$, then the area of rectangle ABCD is&#160;

Question 24 :
Three angles of a quadrilateral are $75^{\circ}, 90^{\circ}$ and $75^{\circ}$. The measure of fourth angle is?<br/>

Question 25 :
The four angles of a quadrilateral are as $3 : 5 : 7 :9$. Find the angles<br/>

Question 28 :
In a square ABeD, its diagonals bisect at O. Then the triangleAOB is

Question 30 :
Two consecutive angles of parallelogram are in the ratio 1 : 3 Then the smaller angle is

Question 31 :
A quadrilateral whose each angle is a right angle is a

Question 32 :
Two parallelograms stand on equal bases and between the same parallels. The ratio of their areas is

Question 33 :
The angle of a quadrilateral are respectively $120^o, 73^o, 80^o$. Find the fourth angle

Question 34 :
The measure of an angle of a parallelogram is $70^0$. Find its remaining angles.

Question 35 :
State true or false:A diagonal divides a parallelogram&#160;into two triangles of equal areas.

Question 36 :
Two opposite angles of a parallelogram are ${\left( {3x - 2} \right)^ \circ }$ and ${\left( {50 - x} \right)^ \circ }$. Find the value of $x$

Question 37 :
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 measure of an angle of a parallelogram is $70^0$. Find its remaining angles.

Question 39 :
The perimeter of a parallelogram is ...................... when the sides are $12$ cm and $5$ cm.

Question 40 :
The four angles of a quadrilateral are as $3 : 5 : 7 :9$. Find the angles<br/>

Question 41 :
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 44 :
The dimensions of rectangular field are $23x-10$ and $14x+8$ units. The values of $x$ for which it would be square is

Question 45 :
The diagonals of a quadrilateral are equal and bisect each other. The quadrilateral has to be

Question 46 :
Find the midpoint of the segment connecting the points $(a, -b)$ and $(5a, 7b)$.

Question 47 :
The adjacent sides of a parallelogram are 15 cm and 10 cm. If length of one diagonal of this parallelogram is 20 cm, the length of other diagonal will be

Question 48 :
Three vertices of a parallelogram are $(a+b,a-b), (2a+b, 2a-b), (a-b, a+b)$. Find the fourth vertex.

Question 49 :
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 50 :
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/>