Question 1 :
Fill in the blank:<br/>Line joining the mid-points of any two sides of a triangle is _____ to the third side.<br/>

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

Question 6 :
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 7 :
State whether the given Question is True or False?The diagonals of a parallelogram bisect each other.

Question 8 :
The four angles of a quadrilateral are as $3 : 5 : 7 :9$. Find the angles<br/>

Question 10 :
In a quadrilateral ABCD, $\angle A + \angle C = 180^{\circ}$ then $\angle B + \angle D = $

Question 12 :
Three vertices of a parallelogram taken in order are $( - 1 , - 6 ) , ( 2 , - 5 )$ and $(7,2).$ The fourth vertex is :

Question 13 :
The diagonals of a quadrilateral are equal and bisect each other. The quadrilateral has to be

Question 14 :
If two parallel lines are cut by two distinct transversals, then the quadrilateral formed by these four lines will always be a:

Question 16 :
Can the angles $110^o, 80^o, 90^o$ &amp; $105^o$ be the angles of quadrilateral?

Question 17 :
State true or false:A diagonal divides a parallelogram&#160;into two triangles of equal areas.

Question 18 :
The diagonals of rhombus are $24$ cm and $10$ cm. Then its perimeter is:

Question 19 :
Three angles of a quadrilateral are $75^{\circ}, 90^{\circ}$ and $75^{\circ}$. The measure of fourth angle is?<br/>

Question 20 :
Find the midpoint of the segment connecting the points $(a, -b)$ and $(5a, 7b)$.

Question 23 :
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 24 :
State true or false:<br/>In a parallelogram, the diagonals intersect at right angles

Question 25 :
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 27 :
The measure of an angle of a parallelogram is $70^0$. Find its remaining angles.

Question 28 :
Two consecutive angles of parallelogram are in the ratio 1 : 3 Then the smaller angle is

Question 31 :
There exists a quadrilateral with a rotational symmetry of the order more than 1 but doesn't have a line symmetry.

Question 32 :
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 36 :
Which of the following is correct regarding the diagonals of a rhombus ?

Question 37 :
A quadrilateral whose each angle is a right angle is a

Question 38 :
Three vertices of a parallelogram are $(a+b,a-b), (2a+b, 2a-b), (a-b, a+b)$. Find the fourth vertex.

Question 39 :
In a square ABeD, its diagonals bisect at O. Then the triangleAOB is

Question 40 :
The dimensions of rectangular field are $23x-10$ and $14x+8$ units. The values of $x$ for which it would be square is