Question 1 :
In a quadrilateral ABCD, $\angle A + \angle C = 180^{\circ}$ then $\angle B + \angle D = $
Question 3 :
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 4 :
The adjacent angles of a parallelogram are as 2 : 3.Find the measures of all the angles
Question 5 :
What is the maximum possible area of a parallelogram with one side of length 2 meters and a perimeter of 24 meters ?
Question 6 :
The diagonals of a quadrilateral are equal and bisect each other. The quadrilateral has to be
Question 7 :
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 8 :
The dimensions of rectangular field are $23x-10$ and $14x+8$ units. The values of $x$ for which it would be square is
Question 10 :
Name the quadrilaterals whose diagonals bisect each other<br/><br/><b>Answer: </b>Parallelogram; rhombus; square; rectangle.<br/>
Question 12 :
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 13 :
Fill in the blank:<br/>Line joining the mid-points of any two sides of a triangle is _____ to the third side.<br/>
Question 14 :
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 15 :
Two parallelograms stand on equal bases and between the same parallels. The ratio of their areas is
Question 16 :
Find the angles of a parallelogram if one angle is three times another.
Question 17 :
State true or false:For the case of a parallelogram the bisectors of opposite angles are not parallel to each other.<br/>
Question 18 :
If in quadrilateral $ABCD$, $AB \parallel CD$, then $ABCD$ is necessarily a
Question 19 :
Two adjacent angles of a parallelogram are $\left(2x+25\right)^{o}$ and $\left(3x-5\right)^{o}.$ The value of $x$ is
Question 20 :
If the diagonals AC and BD of a quadrilateral ABCD bisect each other, then ABCD is a :<br/>