1. Geometric Constructions
Sub. :- Mathematics
Std. :- 6th
Chapter no. 22

2. What is a line?
Line- a straight path in a plane that goes on forever in opposite directions Example:
line AB or line BA

3. Intersecting lines

4. The perpendicular line
A line is perpendicular to another, if it meets or crosses it at right angles (90°).

5. perpendicular to each other.
Seg CD & seg AB are
perpendicular to each other.
Symbollically it is written as
seg CD seg AB
It is read seg CD is perpendicular to seg AB

6. What is a line segment? line segment
A part of a line that includes two points, called endpoints, and all of the points between them Example:
line segment AB  or line segment BA

7. seg CP & seg AB are perpendicular to each other.
Symbollically it is written as
seg CP seg AB
It is read seg CP is perpendicular to seg AB

8. Line CP & seg AB are perpendicular to each other.
Symbollically it is written as
Line CP seg AB
It is read as, Line CP is perpendicular to seg AB

9. What is a ray?
 ray
A part of a line, with one endpoint, that continues without end in one direction Example: ray CD

10. ray CP & seg AB are perpendicular to each other.
Symbollically it is written as
RAY CP seg AB
It is read as ray CP is perpendicular to seg AB

11. A Perpendicular Bisector
Aim: Draw the Perpendicular Bisector of segment AB =4 cm
Rule a line
(leaving some space on each side of the line) A B

12. Perpendicular Bisector
Compass point
Set your compass to about ¾ of the line length

13. Perpendicular Bisector
Compass point
Set your compass to about ¾ of the line length

14. Perpendicular Bisector
Compass point
Arc into space each side of the line

15. Perpendicular Bisector
Compass point
Arc into space each side of the line

16. Perpendicular Bisector
Compass point
Arc into space each side of the line

17. Perpendicular Bisector
Compass point
Arc into space each side of the line

18. Perpendicular Bisector
Compass point
Arc into space each side of the line

19. Perpendicular Bisector B
Keep the compass the same
Arc into space each side of the line
Compass point

20. Perpendicular Bisector
Keep the compass the same
Arc into space each side of the line
Compass point

21. Perpendicular Bisector
Keep the compass the same
Arc into space each side of the line
Compass point
Step1
Step2
Home

22. Perpendicular Bisector
Arc into space each side of the line
Compass point

23. Perpendicular Bisector C
Use a ruler to join this point
With this point

24. Perpendicular Bisector
This should be 90º
90º 1 2 1 2
And half way

25. Draw line segments of lengths given below & draw their Perpendicular Bisector
8 cm
5.5 cm
6 cm

26. Construct the bisector of an angle
Draw the angle AOB
Using the vertex o as centre draw an arc to meet the arms of the angle at Xand Y.
Using x as centre and the same radius draw a new arc.
Using y as centre and the same radius draw an overlapping arc.
Mark the point where the arcs meet.
OM is the angle bisector of angle AOB. A X x x M O Y
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