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Zaheer abbasi

DIVIDING A LINE SEGMENT INTO EQUAL PARTS

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Zaheer abbasi

1. 1. Q. What is geometry?Answer: Geometry is the branch ofmathematics in which we deals with points,lines, curves, surfaces and shapes.
2. 2. Q. How many end points of a linesegment?Answer: A line segment has two end points.
3. 3. Q. How many end points of a line?Answer: A line has no end point.
4. 4. Q. How many end points of a ray?Answer: A ray has only one end point.
5. 5. Q. How many end points of a ray?Answer: A ray has only one end point.
6. 6. Example # 1: Draw a line segment 8cm in lengthand 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° withprotector.• Using compasses from point A, 5 arcs are drawnon AX with suitable radius mark their intersectionpoints as C, D, E, F and G. Such that AC = CD =DE = EF = FG.• At B, BY is drawn making an angle of 30° withprotector.• Using compasses from point B, 5 arcs are drawnon BY with same radius and mark their intersectionpoints 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 equalparts.8cmA B30°X30°CDEFGHIJKLY
7. 7. Q. What we have discussed today?Answer: Dividing a line segment into equal parts.
8. 8. Q. Name the instrument which we use for dividinga line segment into equal parts.Answer: We use Ruler, Pencil, Protector andCompass for dividing a line segment into equalparts.
9. 9. Q. What is the first step of construction?Answer: Draw a line segment of given length.
10. 10. Q. What is the second step of construction?Answer: At point A, draw an angle of 30° withprotector.
11. 11. Q. What is the third step of construction?Answer: Using compasses from point A, five arcsare marked with suitable radius on AX.
12. 12. Q. What is the forth step of construction?Answer: At point B, draw the same angle of 30°with protector.
13. 13. Q. What is the fifth step of construction?Answer: Using compasses from point B five arcsare marked with the same radius on BY.
14. 14. Q. Which points will join from the given figure?8cmA B30°X30°CDEFGHIJKLYAnswer: Join the points A toL, C to K, D to J, E to I, F toH and G to B.
15. 15. Activity• Draw a line segment 6cm in length anddivide it into 4 equal parts.