Table of contents 
Exercise 4.1 
Exercise 4.2 
Exercise 4.3 
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Q1. Use the figure to name:
(a) Five points
(b) A line
(c) Four rays
(d) Five line segments
Ans:
(a) Five points are:  O, B, C, D, E 
(b) A line:  
(c) Four rays:  
(d) Four line segments: 
Q2. Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.
Ans:
Q3. Use the figure to name:
(a) Line containing point E.
Ans: A line containing
(b) Line passing through A.
Ans: A line passing through
(c) Line on which O lies.
Ans: A line on which O lies
(d) Two pairs of intersecting lines.
Ans: Two pairs of intersecting lines are
Q4. How many lines can pass through
(a) one given point?
Ans: Infinite number of lines can pass through one given point.
(b) Two given points?
Ans: Only one line can pass through two given points.
Q5. Draw a rough figure and label suitably in each of the following cases:
(a) Point P lies on .
(b) intersect at M.
(c) Line l contains E and F but not D.
(d) meet at O.
Ans:
Q6. Consider the following figure of line Say whether following statements are true or false in context of the given figure.
(a) Q, M, O, N, P are points on the line
Ans: True
(b) M, O, N are points on a line segment
Ans: True
(c) M and N are end points of line segment
Ans: True
(d) O and N are end points of line segment
Ans: False
(e) M is one of the end points of line segment
Ans: False
(f) M is point on ray
Ans: False
(g) Ray is different from ray
Ans: True
(h) Ray is same as ray
Ans: False
(i) Ray is not opposite to ray
Ans: False
(j) O is not an initial point of
Ans: False
Q1. Classify the following curves as (i) Open or (ii) Closed.
(a)
Ans: Open curve
(b)
Ans: Closed curve
(c)
Ans: Open curve
(d)
Ans: Closed curve
(e)
Ans: Closed curve
Q2. Draw rough diagrams to illustrate the following:
(a) Open curve
Ans: Open curves
(b) Closed curve
Ans: Closed curves
Q3. Draw any polygon and shade its interior.
Ans: Polygon ABCDE
Q4. Consider the given figure and answer the questions:
(a) Is it a curve?
(b) Is it closed?
Ans: (a) Yes, it is a curve.
(b) Yes, it is closed.
Q5. Illustrate, if possible, each one of the following with a rough diagram:
(a) A closed curve that is not a polygon.
Ans:
(b) An open curve made up entirely of line segments.
Ans:
(c) A polygon with two sides.
Ans: Polygon with two sides cannot be draw.
Q1. Name the angles in the given figure.
Ans: There are four angles in given figure:
∠ ABC, ∠ CDA, ∠ DAB, ∠ DCB
Q2. In the given diagram, name the point (s)
(a) In the interior of ∠DOE
Ans: Point interior of ∠DOE : A
(b) In the exterior of ∠EOF
Ans: Points exterior of ∠EOF: C, A, D
(c) On ∠EOF
Ans: Points on ∠EOF: E, O, B, F
Q3. Draw rough diagrams of two angles such that they have
(a) One point in common.
Ans:
(b) Two points in common.
Ans:
(c) Three points in common.
Ans:
(d) Four points in common.
Ans:
(e) One ray in common.
Ans:
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