Q1. Draw a figure to show lines p, q, r, s, t, l, m, n passing through the same point O. What
are such lines called?
Q2. How many lines can through two given points? Draw the figure to justify your answer.
Q3. Draw any line segment PQ. .Take any point R lying in between P and Q. Measure the lengths of
PQ, QR and PR. Is PQ = PR + RQ? Give reason for your answer.
Q4. If A, B, C are three collinear points such that AB = 5 cm, BC = 3 cm and AC = 8 cm,
which one of them lies between the other two? Draw the figure also.
Q5. In the given figure, name three collinear points and three non-collinear points
q
p
A
O
r
C
B
Q6. In the given figure, name concurrent lines and their point of concurrence.
q
p
A
r
O
C
B
s
Q7. How many lines can be drawn through 4 collinear points? Draw the figure also.
Q8. Mark 4 non-collinear points P, Q, R and S as shown. Taking two points at a time, how
many lines can be drawn through these points? Name the line segments.
P.
.Q
.R
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Q9. A line segment AB = 8.2 cm. Line segment CB = 3.5 cm is cut off from it. What is the
length of the remaining part?
Q10. In the given figure, what is the total length of the line segment RS?
R 2.9 cm
P
6.5 cm
S
Q11.With the help of the given figure, complete the following.
A 3.9 cm
O 3.9 cm
B
(i)
O is called the ………… of the line segment AB.
(ii)
AO…….OB
Q12. How many line segments form a triangle? Draw the figure also, and name the triangle.
Q13. Draw 3 triangles and measure the length of the line segments forming their sides.
Check in each case, if the sum of the lengths of any two sides is always less than the tird
side.
Q14. In the given figure, name five line segments.
D.
E.
O.
B.
.C
Q15. Draw a line segment AB = 10 cm long. Use the scale to divide it into four equal parts by
marking the mid points. Name and measure the equal line segments.
Q16. In the given figure, identify he concurrent lines and their points of concurrence.
S
P
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R
Q
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Q17. In the given figure, name the mid point and the bisector of the line segment RP.
X
.
R
.
N
P
Y
Q18. Using a ruler, check whether the following points given in the figure drawn below are
collinear or not. (i) P, R, Q (ii) R, T, Q (iii) R, T, S (iv) T, Q, S
.
.T
. .
S
.
P
R
Q
Q19. Draw a figure which shows that points C, D, E, F are collinear.
Q20. Complete the following:
(i)
The edge of a scale represents a……
(ii)
A ………has 2 end points.
(iii)
A……….has no end points.
(iv)
A line segment is a ….. of a line.
(v)
We cannot measure the length of a ….
(vi)
The …. of a line segment divides it into two equal parts. The point of bisection is
called the……
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Answers :
A1. Concurrent Lines.
l
p
m
q
n
r
O
s
t
A2.Only one line can be drawn.
B
A
A3. Yes. Because R is between P and Q.
A4.B lies between A and C.
B
C
A
A5. A, O, B are three collinear points. (ii) A, C, B are three non-collinear points.
A6. Three concurrent lines are q, r and s. The point of concurrence is C.
A7. Only one line can be drawn through 4 collinear points.
A
B
C
D
A8. 6 line segments can be drawn through 4 non-collinear points.
PQ, QS, SR, RP, PS, and QR.
P.
Q
R.
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A9. 4.7 cm
A10. RS = 9.4 cm
A11. (i) Mid point. (ii) AO is equal to OB
A12. Three line segments form a triangle. Line segments XY, YZ and ZX form the triangle
XYZ.
X
Y
Z
A13. No, the sum of any two sides of a triangle can never be less than the length of the third
side.
P
2.
cm
X
3
6c
m
Y
2.4 cm
(i)
3
c
.5
Q
Z
m
2.4
4.3 cm
cm
R
C
m
3.7 c
A
2.1 cm
B
2.3
cm
A14. Many answers are possible. Some are: DE, DO, EO, OB, EB
A15. Four equal line segments are: AC = CO = OD = DB = 2.5 cm
.
.
.
.
A 2.5 cm C 2.5 cm O 2.5 cm D 2.5 cm B
10 cm
A16. PQ, PR and PS are concurrent lines and their point of concurrence is P
RQ, RS and RP are concurrent lines and their point of concurrence is R
A17. N is the mid point of RP; X Y is the bisector of RP
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A18. (i) P, R, Q are collinear. (ii) R, T, Q are non-collinear (iii) R, T, S are collinear.
(iV) T, Q, S are non-collinear.
A19.
.
P
. . .
R
Q
T
A20. (i) Line segment
(ii) Line segment
(iii)
Line
(iv)
Part
(v)
Line
(vi)
Bisector, mid point
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