Question 1 :
When two lines are perpendicular to each other, the angle is said to be _______ angle.

Question 3 :
Which of the following steps is INCORRECT while constructing an angle of $60^o$?<br>Step-1 : Draw a line EF and mark a point O on it.<br>Step-2 : Place the pointer of the compass at O and draw an arc of convenient radius which cuts the line EF at point P.<br>Step-3 : With the pointer at A (as centre) now draw an arc that passes through O.<br>Step-4 : Let the two arcs intersect at O. Join OQ. We get $\angle$ QOP whose measure is $60^o$

Question 5 :
When two line segments meet at a point forming right angle they are said to be __________ to each other.

Question 6 :
With the help of a ruler and a compass, it is possible to construct an angle of :<br/>

Question 7 :
The steps to construct a line perpendicular to $XY$ and passing through $P$ is given in random order :<br>$1.$Move the set square along XY so the other short side touches Point P.<br>$2.$Use the edge of the set square to draw a line through Point P.<br>$3.$ Draw a line $XY$ and mark point $P$.<br>$4.$Place one short side of the set square on the line XY.<br>Which of the following will be the fourth step :

Question 8 :
Draw perpendicular to the line of length $9$ cm so that the perpendicular divides the line in the ratio $1:2$. Then length of the line on the left will be :

Question 9 :
With the help of a ruler and a compass, it is possible to construct an angle of:<br/>

Question 10 :
The steps to construct a line perpendicular to $XY$ and passing through $P$ is given in random order :<br>$1.$Move the set square along XY so the other short side touches Point P.<br>$2.$Use the edge of the set square to draw a line through Point P.<br>$3.$ Draw a line $XY$ and mark point $P$.<br>$4.$Place one short side of the set square on the line XY.<br>Which of the following will be the first step :

Question 11 :
State whether the statement are true (T) or false (F).<br>Two perpendiculars can be drawn to a given line from a point not lying on it.

Question 12 :
To construct a perpendicular to a line($L$) from a point ($P$) outside the line, steps are given in jumbled form.Identify the fourth step from the following<br/>1) Draw line $PQ$<br/>2)Draw a line $L$ and consider point $P$ outside the line<br/>3)Take P as a center, draw $2$ arcs on line $L$ and name it as points $A$ and $B$ respectively<br/>4)Taking $A$ and $B$ as a center one by one and keeping the same distance in compass, draw the arcs on other side of the line.The point where these arcs intersect name that point as $Q$

Question 13 :
Write True or False in each of the following . Give reason for your answer:<br>An angle of $ 42.5^{\circ} $ can be constructed .

Question 14 :
For drawing the perpendicular bisector of $PQ$, which of the following radii can be taken to draw arcs from $P$ and $Q$?

Question 15 :
The steps for constructing a perpendicular from point $A$ to line $PQ$ is given in jumbled order as follows: $(A$ does not lie on $PQ)$1. Join $R-S$ passing through $A$.2. Place the pointed end of the compass on $A$ and with an arbitrary radius, mark two points $D$ and $E$ on line $PQ$ with the same radius.3. From points $D$ and $E$, mark two intersecting arcs on either side of $PQ$ and name them $R$ and $S$.4. Draw a line $PQ$ and take a point $A$ anywhere outside the line.The second step in the process is:<br/>

Question 16 :
State True or False.<br/>An angle of $42.5$ can be constructed using the compass.<br/>

Question 17 :
There is a rectangular sheet of dimension $(2m-1)\times (2n-1)$, (where $m &gt; 0, n &gt; 0$). It has been divided into square of unit area by drawing lines perpendicular to the sides. Find number of rectangles having sides of odd unit length?

Question 18 :
An angle which can be constructed using a pair of compass and ruler is

Question 20 :
State whether the statement are true (T) or false (F).<br>Infinitely many perpendiculars can be drawn to a given ray.