Question
Draw an angle of measure $45^\circ $ and bisect it.

Answer


The below given steps will be followed to construct an angle of $45^\circ $ and its bisector.
$1.\angle\text{POQ}$ of $45^\circ $ measure can be formed on a line $l$ by using the protractor.
$2.$Draw an arc of a convenient radius, while taking point $O$ as centre. Let it intersect both rays of angle $45^\circ $ at point $A$ and $B$.
$3.$Taking $A$ and $B$ as centres, draw arcs of radius more than $\frac{1}{2}AB $  in the interior of angle of $45^\circ .$ Let those intersect each other at $C$. Join $OC.$

$OC$ is the required bisector of $45^\circ $ angle.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Rahul bought $4 \ kg\ 90\ g$ of apples, $2 \ kg\ 60\ g$ of grapes and $5 \ kg\ 300\ g$ of mangoes. Find the total weight of all the fruits he bought.
Fill in the following blanks: $\frac{15}{18}=\frac{\square}{6}=\frac{10}{\square}=\frac{\square}{30}$ [Are these equivalent ratios?]
Complete the following table.
Shape Rough figure Number of lines of symmetry
Equilateral Triangle  
Square    
Rectangle    
Isosceles Triangle    
Rhombus    
Circle    
$12$ men can finish a piece of work in $25$ days. The number of days in which the same piece of work can be done by $20$ men, is:
Define $(i) FACTOR, (ii) MULTIPLE$. Give five example of each.
The area of a square field is $36m^2$. A path of uniform width is laid around and outside of it. If the area of the path is $28m^2$, then find the width of the path.
Match the following:
Measures of Triangle Type of Triangle
$(a)$ $3$ sides of equal length $(i)$ Scalene
$(b)$ $2$ sides of equal length $(ii)$ Isosceles right angled
$(c)$ All sides are of different length $(iii)$ Obtuse angled
$(d)$ $3$ acute angles $(iv)$ Right angled
$(e)$ $1$ right angle $(v)$ Equilateral
$(f)$ $1$ obtuse angle $(vi)$ Acute angled
$(g)$$1$ right angle with two sides of equal length $(vii)$ Isosceles
Name the points and then the line segments in each of the following figures:
The following table shows the number of maruti cars sold by five dealers in a particular month:
Dealer
Saya
Bagga Links
$D.D$ Motors
Bhasin Motor
Competent Motors
Cars Sold
$60$
$40$
$20$
$15$
$10$
Represent the above information by a pictograph.
By using tracing paper compare the angles in each of the pairs given in Fig.
Image