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Maths Quest 9 for New South Wales 5.3 pathway Chapter 3 Geometry Test B Geometry Test B Name: ___________________________ Section A Multiple Choice 1 The value of the pronumeral x is: A B C D 2 3 4 The value of the pronumeral y is: 100° 90° 80° 20° A quadrilateral with only opposite sides equal in length is called a: A square B rectangle C kite D rhombus A B C D 5 45° 95° 110° 205° The value of the pronumeral m is: The value of the pronumeral x is: A B C D A B C D 20° 30° 50° 60° 1 6 70° 90° 110° 125° The value of the pronumeral t is: A B C D 83° 97° 103° 277° Maths Quest 9 for New South Wales 5.3 pathway 7 The value of the angle which is complementary to 27° is: A 72° B 63° C 153° D 163° 8 The value of the angle, a, in the figure below is: Chapter 3 Geometry Test B 11 The value of x in the figure shown is: A B C D A B C D 9 10 111° 69° 79° 89° The size of each of the interior angles of a regular pentagon is: A 108° B 180° C 540° D 900° The value of the angle, a, in the figure below is: A B C D 28° 62° 118° 59° 48 54 102 126 12 Has how many star polygons does a regular hexagon have? A 1 B 2 C 3 D 8 13 In which one of the following shapes do the diagonals always form four congruent triangles? A Square B Rectangle C Trapezium D Parallelogram. 2 Maths Quest 9 for New South Wales 5.3 pathway 14 In the diagram, if a b 160 , then x equals: A B C D 70 110 200 290 Chapter 3 Geometry Test B 15 The corresponding angle to c is: A B C D a f g h 3 Maths Quest 9 for New South Wales 5.3 pathway Chapter 3 Geometry Test B Geometry Test B 4 Name: ___________________________ Section B Short/Extended answer 1 Find the value of the pronumeral (answer to nearest whole degree). (a) (b) (c) 6 Maths Quest 9 for New South Wales 5.3 pathway 2 Chapter 3 Geometry Test B Find the value of the pronumeral/s in each of the following. (a) 5 6 (b) (c) 3 Find the value of the pronumeral in each of the following to the nearest degree. (a) (b) (c) 6 Maths Quest 9 for New South Wales 5.3 pathway 4 5 Chapter 3 Geometry Test B (a) A polygon has 8 sides. Find the sum of its angles. (b) A regular polygon has 10 sides. Find the size of each of its angles. Find the value of the pronumeral. (a) 6 4 4 (b) 4 6 Indicate two pairs of : (a) co-interior angles (b) corresponding angles. Maths Quest 9 for New South Wales 5.3 pathway Chapter 3 Geometry Test B 7 7 Find the value of the pronumerals, giving reasons. 2 8 Two transversal lines cross a pair of parallel lines at 154° and 136°. Find the angle, x, between the transversals. 3 9 Use a ruler and a protractor to construct triangles that have: (a) one side of length 3 cm and another of 5 cm with an angle of 70° between them 4 (b) angles of 80° and 35° with the side between them of length 4 cm. Maths Quest 9 for New South Wales 5.3 pathway Chapter 3 Geometry Test B 8 10 Determine the values of the angles a, b, c and d in the figure below, giving reasons. 3 11 Determine the values of the angles a, b and c in the figure below, giving reasons. 3 12 Determine the sum of each of the exterior angles in a regular nonagon (a nine-sided figure). 2 13 Construct a triangle PQR, with base PQ = 8 cm, side PR = 6 cm and angle PQR = 40°. 4 List the steps in your construction Maths Quest 9 for New South Wales 5.3 pathway 14 Find the value of x. Chapter 3 Geometry Test B 9 3