Angles Jeopardy Hosted by Dr Morgan Cat 1

Angles Jeopardy Hosted by Dr Morgan

Cat 1 Cat 2 Cat 3 Cat 4 Cat 5 $100 $100 $200 $200 $300 $300 $400 $400 $500 $500

Cat 1 for $100 Find the size of angle a and angle b a = 50 b = 110

Cat 1 for $200 (a) Find angle x and give a reason for your answer. (b) Find angle y (a)112° corresponding angles (b) 50°

Cat 1 for $300 Work out the size of angle x 30°

Cat 1 for $400 Find the size of angle x and angle y x = 40 y = 140

Cat 1 for $500 Find the size of angle OBC 16°

Cat 2 for $100 Find the size of angle a 135°

Cat 2 for $200 Find the size of angle p and angle q p = 54° q = 40°

Cat 2 for $300 Which of the kites below is a cyclic quadrilateral? Give a reason for your answer. Kite 2 since opposite angles Total 180°

Cat 2 for $400 Angle DAB = 90˚ (Tangent meets radius at right-angle) So angle ABD = 50˚ since angles in a triangle total 180˚ Triangles DAB and DCB are congruent so Angle ABC is 100˚

Cat 2 for $500 Find the size of angle x and angle y x = 65° y = 130°

Cat 3 for $100 Find the size of angle r and angle s r = 72° s = 55°

Cat 3 for $200 Find the size of angle a and angle b a = 50° b = 70°

Cat 3 for $300 Work out the size of angle x 120°

Cat 3 for $400 Find the size of angle p and angle q p = 140° q = 70°

Cat 3 for $500 Prove that triangle QSR is isosceles OSR = 90° and OSQ = 50° QSR = 40° Since angle QSR = angle QRS QSR is an isosceles triangle

Cat 4 for $100 Find the size of angle z. Give a reason for your answer. Z = 110° Opposite angles in a cyclic quadrilateral Total 180°

Cat 4 for $200 Find the size of angle x 30°

Cat 4 for $300 Find the size of angles x, y and z. Give reasons for your answers. x = 100° (Angle at Centre) y = 130° (Cyclic Quadrilateral) z = 70° (Angle in Semi-Circle)

Cat 4 for $400 Here is a regular octagon. Find the size of angle y. Give a reason for your answer. 45°

Cat 4 for $500 Find the size of x and angle EAD x = 15° EAD = 120°

Cat 5 for $100 Find the size of angle y. Give a reason for your answer. Y = 100° Angle at the centre is double the angle at the circumference subtended by the radii

Find the size of angle x 125° Cat 5 for $200

Cat 5 for $300 Find the size of angle x and angle y x = 65° y = 25°

Cat 5 for $400 71 62 Find the size of angles BAT and ABC Which circle theorems did you use? BAT = 62° and ABC = 71° Tangents and Alternate Segment Theorem

Cat 5 for $500 Find the size of angle x and angle y x = 124° y = 42°