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Step-1

Title: Constructions of angles

Grade: 10-a Lesson: S1-L4

Explanation:

Step	Type	Explanation	Answer
1	Problem	Using ruler and compass only draw a right angle. $1$
2	Step	Given	Draw a right angle
3	Step	Construction a ray OP
4	Step	Taking O is the centre and convenient radius construct an arc AB using compass intersecting the ray OP at the point B.
5	Step	Taking A as centre and same radius construct another arc which intersect the arc AB at the point R.
6	Step	Taking R as centre and same radius , construct an arcwhich cut the arc AB at the point C opposite to A.
7	Step	Using C and R as the centre construct two arcs of radius which is more than half of CR intersecting each other at the point S.
8	Step	Now join points	Now join the points O and S and extend it to the point P.
9		Answer	Here, \$\angle QOP\$ is the required angle of 90°.

Step

Type

Explanation

Answer

Problem

Using ruler and compass only draw a right angle.
$1$

Step

Given

Draw a right angle

Step

Construction a ray OP

Step

Taking O is the centre and convenient radius construct an arc AB using compass intersecting the ray OP at the point B.

Step

Taking A as centre and same radius construct another arc which intersect the arc AB at the point R.

Step

Taking R as centre and same radius , construct an arcwhich cut the arc AB at the point C opposite to A.

Step

Using C and R as the centre construct two arcs of radius which is more than half of CR intersecting each other at the point S.

Step

Now join points

Now join the points O and S and extend it to the point P.

Answer

Here, \$\angle QOP\$ is the required angle of 90°.