Answer
Verified
479.7k+ views
Hint: First of all, draw a line AB = 10 cm and mark point P such that AP = 4 cm. Now mark two points on both sides of P on line AB equidistant from P. Now with the centers at these points, draw an arc above line AB and proceed to get the required perpendicular.
Complete step-by-step answer:
Here, we have to draw a line segment AB of length 10 cm. Then, we have to mark a point P on AB such that AP = 4 cm. Finally, we have to draw a line through P which would be perpendicular to AB.
(i) Let us first draw the line AB = 10 cm with the help of a ruler as follows:
(ii) Now, with A as the center and 4 cm as the radius, we will draw an arc on AB as
(iii) We will name this point as P such that AP = 4 cm.
(iv) Now, we will take any radius, say 3 cm. With P as center and radius = 3 cm. We will draw an arc on the left side of P on line AB as,
(v) We will name this as point C.
(vi) Now with the same radius that is 3 cm and with P as the center, we will again draw an arc on the right side of P on the line AB as,
(vii) We will name this as point D.
(viii) Now with D as center and radius greater than DP, we will draw an arc above line AB as,
(ix) Now with C as the center and with the same radius as that of the previous step, we will draw an arc cutting the previous arc and we will name this point of intersection of two arcs as O.
(x) Now we will join OP and extend it.
Hence, we get OP as the required perpendicular on line AB through P.
Note: Some students make this mistake of constructing the perpendicular bisector of AB but they must keep in mind that they have to construct perpendicular passing through P. Also, students can cross-check their construction by measuring if angle \[\angle OPD\] is \[{{90}^{o}}\] or not.
Complete step-by-step answer:
Here, we have to draw a line segment AB of length 10 cm. Then, we have to mark a point P on AB such that AP = 4 cm. Finally, we have to draw a line through P which would be perpendicular to AB.
(i) Let us first draw the line AB = 10 cm with the help of a ruler as follows:
(ii) Now, with A as the center and 4 cm as the radius, we will draw an arc on AB as
(iii) We will name this point as P such that AP = 4 cm.
(iv) Now, we will take any radius, say 3 cm. With P as center and radius = 3 cm. We will draw an arc on the left side of P on line AB as,
(v) We will name this as point C.
(vi) Now with the same radius that is 3 cm and with P as the center, we will again draw an arc on the right side of P on the line AB as,
(vii) We will name this as point D.
(viii) Now with D as center and radius greater than DP, we will draw an arc above line AB as,
(ix) Now with C as the center and with the same radius as that of the previous step, we will draw an arc cutting the previous arc and we will name this point of intersection of two arcs as O.
(x) Now we will join OP and extend it.
Hence, we get OP as the required perpendicular on line AB through P.
Note: Some students make this mistake of constructing the perpendicular bisector of AB but they must keep in mind that they have to construct perpendicular passing through P. Also, students can cross-check their construction by measuring if angle \[\angle OPD\] is \[{{90}^{o}}\] or not.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Which are the Top 10 Largest Countries of the World?
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Change the following sentences into negative and interrogative class 10 english CBSE
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE