
State the property of parallel lines used to divide a given segment to a given number of equal parts.
Answer
483.3k+ views
Hint: Draw a line segment of required length and construct two parallel lines with the help of a compass and by using the property to parallel lines make equal corresponding angles on given parallel lines. We can divide the segment into a given number of equal parts
Complete step by step answer:
Step 1:Lets start with the line segment which is to be needed to be divided into equal parts. Draw the line segment AB of the given length.
Step 2: Now from A let’s draw a line segment forming an acute angle with AB and about the same length but it need not be exactly the same measurement
Step 3:Now set the compass on A and mark the number of arcs required with equal measurement on the new line. The number of arcs required is the number of equal parts given in the problem.
Step 4: Now mark the intersection of the last arc with the line as C.
Measure the length of CB with the compass and with the same measurement lets draw an arc from A just below it
Step 5: Now measure the length of AC with the compass and with the same measurement draw an arc from B crossing the arc drawn in our previous step.
Let that point be D and now join BD
Step 6: Now draw arcs on the line BD as we did in step 3 and with the same measurement.
But here we need to draw one arc less than the number we drew before.
Draw lines joining the corresponding points along with AC and BD
SS
Now the line segment is divided into equal parts.
Note: We can divide the segments into equal parts even by using a perpendicular bisector.
The properties used above are
When a transversal intersects a pair of parallel lines
(i)the corresponding angles are equal
(ii)the alternate interior angles are equal
Complete step by step answer:
Step 1:Lets start with the line segment which is to be needed to be divided into equal parts. Draw the line segment AB of the given length.

Step 2: Now from A let’s draw a line segment forming an acute angle with AB and about the same length but it need not be exactly the same measurement

Step 3:Now set the compass on A and mark the number of arcs required with equal measurement on the new line. The number of arcs required is the number of equal parts given in the problem.

Step 4: Now mark the intersection of the last arc with the line as C.
Measure the length of CB with the compass and with the same measurement lets draw an arc from A just below it

Let that point be D and now join BD

Step 6: Now draw arcs on the line BD as we did in step 3 and with the same measurement.
But here we need to draw one arc less than the number we drew before.
Draw lines joining the corresponding points along with AC and BD
SS

Now the line segment is divided into equal parts.
Note: We can divide the segments into equal parts even by using a perpendicular bisector.
The properties used above are
When a transversal intersects a pair of parallel lines
(i)the corresponding angles are equal
(ii)the alternate interior angles are equal
Recently Updated Pages
What percentage of the area in India is covered by class 10 social science CBSE

The area of a 6m wide road outside a garden in all class 10 maths CBSE

What is the electric flux through a cube of side 1 class 10 physics CBSE

If one root of x2 x k 0 maybe the square of the other class 10 maths CBSE

The radius and height of a cylinder are in the ratio class 10 maths CBSE

An almirah is sold for 5400 Rs after allowing a discount class 10 maths CBSE

Trending doubts
Difference between mass and weight class 10 physics CBSE

Saptarishi is the Indian name of which Constellation class 10 social science CBSE

What are the public facilities provided by the government? Also explain each facility

Complete the sentence with the most appropriate word class 10 english CBSE

What are five examples of facts and opinions class 10 english CBSE

Which state has the longest coastline in India A Tamil class 10 social science CBSE
