Draw a line segment of length 10cm. Divide it into four equal parts. Measure each of these parts. 11.4.2018 Activity 1: Make three different ink blot devils in your notebook and mark their line of symmetry. Activity 2: Draw all the lines of symmetry of Fig. 9.24 by paper folding. Fig. 9.24 Activity 3: Draw an angle of 15o by first drawing an angle of 60o and then an angle of 45o, using ruler and compasses. Activity 4: Using ruler and compasses D A draw an angle of 90o and in its interior, draw two rays with the O initial point of each as the vertex O of the angle so that each of the B 30 C three angles so formed is of 30o Fig. 9.25 (See Fig. 9.25). Activity 5: Draw an angle of 45o and in its interior, draw two rays to form three angles each of measure 15o, using ruler and compasses. Activity 6: Draw an angle of 135o and in its interior, draw two rays to form three angles each of equal measure, using ruler and compasses. A Activity 7: Draw the perpendicular bisectors of BC, CA and AB (Fig. 9.26). What do you B C observe? Fig. 9.26 Activity 8: Bisect AE and CE by drawing up their perpendicular bisectors in (Fig. 9.27). A D Let P be the point of intersection of these perpendicular bisectors check E whether B PA = PE, PE = PC Fig. 9.27 11.4.2018 Activity 9: Bisect BC and AB by drawing their B C perpendicular bisectors (Fig. 9.28). Make the point of intersecton as P. Check whether PA = PB = PC A D Fig. 9.28 Activity 10: Draw two line segments of lengths 8cm and 6cm. Using these line segments, construct a line segment of length (8 + 6)cm. Activity 11: Draw two line segments of lengths 3cm and 5cm. Construct line segments of the following lengths using these line segments:
This question refers to a figure in the original PDF.
- (a)6cm
- (b)15cm
- (c)(3+5)cm
- (d)(6+5)cm (e) (9 – 5)cm (f) (5 – 3)cm Activity 12: Draw two line segments of lengths 3cm and 6cm. Construct line segments, equal to the following lengths, using these line segments. 3+ 6 6 2( 3) + 6 (a) cm (b) cm (c) cm 2 2 2 Activity 13: Drop perpendiculars from D to AB and from D to AC (Fig. 9.29). B D C Fig. 9.29 C B Activity 14: O is the centre of the circle (Fig. 9.30). Drop perpendicular from B on CA. O Where does it meet CA? A Fig. 9.30 A D Activity 15: Copy the figure and bisect ∠A and ∠B (Fig. 9.31). Let the bisectors meet at some point P. Measure angle ∠APB. B C Fig. 9.31 11.4.2018 Activity 16: 1 3 Fig. 9.32 (a) Bisect angle 1 and angle 2 (Fig. 9.32). (b) Measure the angle between these bisectors. (c) Now bisect angle 3 and angle 4. (d) Measure the angle formed between these bisectors. (e) What do you obeserve from (b) and (d)? Can you conclude something? Activity 17: Construct an angle equal to 1 times the ∠PQR of Fig. 9.33, using ruler and compasses. Fig. 9.33 Activity 18: Bisect angle A, angle B and angle C (Fig. 9.34). What do you observe? B C Fig. 9.34 11.4.2018