tgpooley 01 BASIC TRACING Name and Surname: Group: tgpooley 01a GEOMETRIC TRACING. PARALLEL & PERPENDICULAR LINES Name and Surname: Group: 1.- Make a copy of AB on r line, starting on given dot A. 2.- On line r, indicate the result of AB and CD segment addition. A B A B C D A r r 3.- On line r, indicate the result of AB and CD segment subtraction. 4.- On line r, indicate the result of the operation: AB + CD - EF. A B C D A B C D E F r r tgpooley 02 SEGMENT OPERATIONS Name and Surname: Group: 1.- Using set square, trace parallel lines to line r through indicated dots. 2.- Using set square, trace perpendicular lines to line r through indicated dots. A r + r A + B + C + D C + D B + + 3.- Draw parallel lines to given line r at a distance equal to segment AB length. 4.- Draw parallel lines to given line r at a distance of 32 mm. A B r r tgpooley 03 PARALLELISM & PERPENDICULARITY Name and Surname: Group: 1.- Using Thales’ Theorem, divide given AB segment in 5 equal parts. 2.- Divide given AB segment in 7 equal parts. A B A B 3.- Indicate the segment which length is equal to 5/7 of the length of 4.- Indicate the segment with 11/6 of the length of AB segment. AB segment. A B B A tgpooley 04 THALES’ THEOREM Name and Surname: Group: 1.- Move A angle to A dot, on r line. 2.- On P dot, indicate the resulting angle of A and B angle addition: A + B. A A B r r A P 3.- On P dot, line r, indicate the resulting angle of A and B angle subtraction: 4.- On P dot, line r, indicate the resulting angle for the following operation: A - B. A + B - C. A B A B C r r P P tgpooley 05 ANGLE OPERATIONS Name and Surname: Group: 1.- Draw a 60º angle using compass. 2.- Build 30º and 15º angles using compass. 3.- Build 120º angle using compass. 4.- Draw 75º and 150º angles using compass. tgpooley 06 ANGLE CONSTRUCTION USING COMPASS 1 Name and Surname: Group: 1.- Draw 90º angle using compass. 2.- Build 45º and 22º 30’ angle using compass. 3.- Build 135º using compass. 4.- Draw 67º 30’ angle using compass. tgpooley 07 ANGLE CONSTRUCTION USING COMPASS 2 Name and Surname: Group: 1.- Draw an equilateral triangle with a side length of 62 mm. 2.- Draw the isosceles triangle which equal sides have the length of b segment, and different side has a length equal to a segment. a b 3.- Draw a right angled triangle which catheti have the following lengths: 4.- Draw a right angled triangle with given hypotenuse (a segment) and one 58 mm y 84 mm. of its cathetus (b segment). a b tgpooley 08 TRIANGLES: CONSTRUCTION KNOWING SIDES Name and Surname: Group: 1.- Build a triangle with given sides b and c, and the angle A. 2.- Draw the triangle with given sides a and c, and angle B. b a c A c = 60 mm. B = 120º 3.- Draw the triangle with the given side c, A and B angles. 4.- Draw the isosceles triangle knowing the different side c and its height h. c = 63 mm. c A = 45º h = 55 mm. B = 75º tgpooley 09 TRIANGLES: CONSTRUCTION WITH SIDES AND ANGLES Name and Surname: Group: 1.- Draw the square with side equal to 50 mm. 2.- Draw a rectangle with given sides AB and CD. A B A D 3.- Draw the Rhombus with given side AB and angle A = 60º. 4.- Draw a Rhomboid with given sides AB = 70 mm., AD = 50 mm. and angle A. A B A tgpooley 10 QUADRILATERALS. PARALLELOGRAMS Name and Surname: Group: 1.- Build the isosceles trapezium with given bases AB y CD and height 2.- Draw the rectangle trapezium with given bases AB = 60 mm., h = 40 mm. CD = 30 mm. and height h. C D h A B 3.- Trace the scalene trapezium with given base AB, height h = 35 mm. and 4.- Draw the trapezoid with given sides AB, BC = 25 mm., CD = 45 mm. and both diagonals AC = 60 mm. and BD = 50 mm. AD = 50 mm. and diagonal AC = 70 mm. A B A B tgpooley 11 QUADRILATERALS. TRAPEZIUMS AND TRAPEZOID. Name and Surname: Group: 1.- Draw the regular triangle and hexagon inside given circumference. 2.- Draw the regular square and octagon inside given circumference. O O tgpooley 12 REGULAR POLYGONS. Knowing circumference Name and Surname: Group: 1.- Build the regular triangle with given side AB. 2.- Draw the square with given side AB. A B A B 3.- Build the regular hexagon with given side AB. 4.- With given AB side draw the regular octagon. A B A B tgpooley 13 REGULAR POLYGONS. Knowing side Name and Surname: Group: 1.- Divide given circumference in 13 equal parts using the General Method to Divide a Circumference. O tgpooley 14 POLYGON CONSTRUCTION. General Method to Divide a Circumference Name and Surname: Group:.