DIVIDING A LINE SEGMENT INTO EQUAL PARTS

2. Q. What is geometry?
Answer: Geometry is the branch of
mathematics in which we deals with points,
lines, curves, surfaces and shapes.

3. Q. How many end points of a line
segment?
Answer: A line segment has two end points.

4. Q. How many end points of a line?
Answer: A line has no end point.

5. Q. How many end points of a ray?
Answer: A ray has only one end point.

6. Q. How many end points of a ray?
Answer: A ray has only one end point.

8. Example # 1: Draw a line segment 8cm in length
and divide it into 5 equal parts.
STEPS OF CONSTRUCTION:
• The line segment AB of length 8 cm is drawn.
• At A, AX is drawn making an angle of 30° with
protector.
• Using compasses from point A, 5 arcs are drawn
on AX with suitable radius mark their intersection
points as C, D, E, F and G. Such that AC = CD =
DE = EF = FG.
• At B, BY is drawn making an angle of 30° with
protector.
• Using compasses from point B, 5 arcs are drawn
on BY with same radius and mark their intersection
points as H, I, J, K and L . Such that BH = HI = IJ =
JK = KL.
• Join the points A to L, C to K, D to J, E to I, F to H,
and G to B.
• Hence, line segment AB is divided into 5 equal
parts.
8cmA B
30°
X
30°
C
D
E
F
G
H
I
J
K
L
Y

9. Q. What we have discussed today?
Answer: Dividing a line segment into equal parts.

10. Q. Name the instrument which we use for dividing
a line segment into equal parts.
Answer: We use Ruler, Pencil, Protector and
Compass for dividing a line segment into equal
parts.

11. Q. What is the first step of construction?
Answer: Draw a line segment of given length.

12. Q. What is the second step of construction?
Answer: At point A, draw an angle of 30° with
protector.

13. Q. What is the third step of construction?
Answer: Using compasses from point A, five arcs
are marked with suitable radius on AX.

14. Q. What is the forth step of construction?
Answer: At point B, draw the same angle of 30°
with protector.

15. Q. What is the fifth step of construction?
Answer: Using compasses from point B five arcs
are marked with the same radius on BY.

16. Q. Which points will join from the given figure?
8cmA B
30°
X
30°
C
D
E
F
G
H
I
J
K
L
Y
Answer: Join the points A to
L, C to K, D to J, E to I, F to
H and G to B.

17. Activity
• Draw a line segment 6cm in length and
divide it into 4 equal parts.