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Zaheer abbasi

Geometry is the branch of mathematics that deals with points, lines, curves, surfaces and shapes. This document provides instructions on how to divide a line segment into equal parts using a ruler, pencil, protector and compass. The example shown divides an 8cm line segment AB into 5 equal parts by first drawing 30 degree angles at A and B, then using a compass to mark 5 arcs from A and B with the same radius, and finally joining the points.

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Q. What is geometry? Answer: Geometry is the branch of mathematics in which we deals with points, lines, curves, surfaces and shapes.
Q. How many end points of a line segment? Answer: A line segment has two end points.
Q. How many end points of a line? Answer: A line has no end point.
Q. How many end points of a ray? Answer: A ray has only one end point.
Q. How many end points of a ray? Answer: A ray has only one end point.
Example # 1: Draw a line segment 8cm in length and 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° with protector. • Using compasses from point A, 5 arcs are drawn on AX with suitable radius mark their intersection points as C, D, E, F and G. Such that AC = CD = DE = EF = FG. • At B, BY is drawn making an angle of 30° with protector. • Using compasses from point B, 5 arcs are drawn on BY with same radius and mark their intersection points 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 equal parts. 8cmA B 30° X 30° C D E F G H I J K L Y
Q. What we have discussed today? Answer: Dividing a line segment into equal parts.
Q. Name the instrument which we use for dividing a line segment into equal parts. Answer: We use Ruler, Pencil, Protector and Compass for dividing a line segment into equal parts.
Q. What is the first step of construction? Answer: Draw a line segment of given length.
Q. What is the second step of construction? Answer: At point A, draw an angle of 30° with protector.
Q. What is the third step of construction? Answer: Using compasses from point A, five arcs are marked with suitable radius on AX.
Q. What is the forth step of construction? Answer: At point B, draw the same angle of 30° with protector.
Q. What is the fifth step of construction? Answer: Using compasses from point B five arcs are marked with the same radius on BY.
Q. Which points will join from the given figure? 8cmA B 30° X 30° C D E F G H I J K L Y Answer: Join the points A to L, C to K, D to J, E to I, F to H and G to B.
Activity • Draw a line segment 6cm in length and divide it into 4 equal parts.