Question 1 :
The side of a regular hexagon is 'p' cm then its area is

Question 2 :
Construct a quadrilateral $PQRS$ in which $PQ=3.8$ cm, $QR=3.4$ cm, $RS=4.5$ cm, $SP=5$ cm and $\angle Q=80^{o}$. State which of these is the last step.

Question 4 :
State the following statement is true or false<br/>We can construct a quadrilateral if the measurement of four sides and one diagonal are given.

Question 5 :
The minimum number of dimensions needed to construct a rectangle is

Question 6 :
To construct a quadrilateral uniquely, it is necessary to have the knowledge of a least ___________ independent elements.

Question 7 :
Which of the following statement is/are correct?<br>We can construct a quadrilateral:

Question 8 :
Construct a rectangle $ABCD$, where $AB=10$ cm and $BC=8$ cm.Steps for its construction is given in a jumbled form. Identify its correct sequence.<br/>1)&#160;Join these cuts with a line $CD$ and rectangle $ABCD$ is formed<br/>2)&#160;Draw a straight line $AB$ of length $10$ cm<br/>3)&#160;Draw perpendicular lines at $A$ and $B$ using protractor.<br/>4)&#160;Using compass cut arc at the perpendicular from $A$ and $B$ of lengths $8$ cm

Question 9 :
To construct a parallelogram, the minimum number of measurements required is

Question 10 :
The diagonal of rectangle $ABCD$ intersect each other at $O$. If $\angle AOB = 30^0$, then we can construct a rectangle if _________ is given.

Question 11 :
Construct a quadrilateral $PQRS$ in which $PQ=3.8$ cm, $QR=3.4$ cm, $RS=4.5$ cm, $SP=5$ cm and $\angle Q=80^{o}$. State which of these is the first step.

Question 12 :
Can we construct a rhombus $ABCD$ with $AB=4\ cm$? Its diagonal intersect at the point $O$ and $\angle OAB = 60^0$.

Question 14 :
To construct a convex quadrilateral, which of the following cases is not correct?

Question 15 :
To construct a parallelogram, the minimum number of measurements required is ..........

Question 16 :
If the perimeter of the square is $48$ units . what will be the length of its diagonal?

Question 17 :
State whether the following statement is True or False.<br>The length of diagonal of rectangle is more than any side of rectangle.

Question 18 :
In a quadrilateral $ABCD, AB=AC=10cm$ and $DB=DC=5cm$. Its diagonals intersect each other at $90^o$.what type of quadrilateral is it.

Question 19 :
State the following&#160; statement is True or False<br/>We can construct a quadrilateral if only $3$ sides and one angle are given<br/>

Question 20 :
State whether the following statement is True or False<br/>We can construct a quadrilateral $ABCD$, if AB=$3.6$cm $\angle ABD$=$80^o$,$BC=4$cm,$\angle BAD=120^o$

Question 21 :
Arrange the following steps in correct order in constructing a square whose one diagonal is $5$cm.<br/>Step 1 : Let PQ cut AC at O.<br/>Step 2 : Draw a diagonal AC = $5$cm.<br/>Step 3 : Join Ab, BC, CD and DA. Then ABCD is the required square.<br/>Step 4 : Draw PQ the perpendicular bisector of AC.<br/>Step 5 : With O as centre and OA radius draw a circle. Let the circle cut QP at points B and D.<br/>

Question 23 :
If $y = \dfrac{2}{\sin \theta + \sqrt{3}\cos \theta}$, then the minimum value of $y$ that is greater than zero is<br/>