CBSE Class 6 Mathematics Practical Geometry Worksheet Set A

TOPIC- LINE,LINE SEGMENT AND RAY 

Explanation 

Points
It is a position or location on a plane surface, which are denoted by a single capital letter.

LineSegment
It is a part of a line with the finite length and 2 endpoints.

The points A and B are called the endpoints of the segment.
It is named as:

Line
It is made up of infinitely many points with infinite length and no endpoint.

It extends indefinitely in both directions.

Intersecting Lines

The two lines that share one common point are called Intersecting Lines. This shared point is called the point of intersection.

Here, line l and m are intersecting at point C.
Real life example of intersecting lines:

Parallel Lines
Two or more lines that never intersect (Never cross each other) are called Parallel Lines.

Real life examples of parallel lines:

Ray
It is a part of a line with one starting point whereas extends endlessly in one direction.

Distinction between line-segment, ray and line:

Line-segment
1. It has two end points.
2. The length of a line-segment is definite. So, it can be measured.
3. The symbol of a line-segment is _____

Ray
1. Ray has one starting point and another near the arrowhead.
2. It has a starting point but no other end point. So, its length cannot be measured.
3. The symbol of a ray is →

Line
1. There are no end points in a line.
2. There are no end points. So, length of a line cannot be measured.
3. The symbol of a line is ↔

Question 1: Use the figure to name:

(a) Five points
(b) A line
(c) Four rays
(d) Five line segments
Answer :
(a) The five points are D, E, O, B, and C.

Question 2: Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.

Answer : 

Question 3: Use the figure to name:

(a) Line containing point E.
(b) Line passing through A.
(c) Line on which O lies
(d) Two pairs of intersecting lines.
ANSWER:

 Question 4: How many lines can pass through (a) one given point? (b) Two given points?
Answer : 
(a) Infinite number of lines can pass through a single point.
(b) Only one line can pass through two given points. 

Question 5:
Draw a rough figure and label suitably in each of the following cases: 

Answer : 

1. Draw a circle of radius 5.6cm

2. With the same centre O, draw two circles of radii 5cm and 2.5cm

3. Draw any circle and mark points P, Q and R such that
a) P is on the circle
b) Q is in the interior of the circle.
c) R is in the exterior of the circle.

4. Draw any line segment PQ. Mark any point B on it. Through B, draw a perpendicular to .

5. Draw XY of length 8.3cm and find its axis of symmetry.

6. Draw a line segment of length 10.5cm and construct its perpendicular bisector.

7. With AB of length 6.2cm as diameter, draw a circle.

8. Draw a circle of radius 4.5cm. Draw any two of its chords. Construct the perpendicular bisectors of these chords. Where do they meet.

9. Draw a line segment of length 10.8cm. Using compasses, divide it into four equal parts . Verify by actual measurement.

10. Draw the perpendicular bisector AB of whose length is 8.3cm
a) Take any point P on the bisector drawn. Examine whether PA = PB
b) If M is the mid point of AB, what can you say about the length of MA and MB?

11. Draw an angle of measure 1370 and construct its bisector.

12. Draw a right angle and construct its bisector.

13. Draw an angle of measure 1520 and divide into four equal parts

14. Draw an angle of measure 600 and bisect it.

15. Draw an angle of measure 1500 and bisect it.

16. Construct with ruler and compasses, angles of following measures.
a) 600 b) 1200 c) 900 d) 450 e) 150 f) 300

17. Draw a circle and any two of its diameter. What is the figure obtained? What figure is obtained if the diameter are perpendicular to each other?