- draw a diameter - make a radius - join diameter and radius -join other end of diameter and radius - put in any angle for one of the angles formed - fill.

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Presentation transcript:

- draw a diameter - make a radius - join diameter and radius -join other end of diameter and radius - put in any angle for one of the angles formed - fill in all angles x x x y y y ( x) + ( y) = x - 2y = x - 2y = (x + y) = -180 (x + y) = 90

xy x - y y y x x 2 - place 2 points on lower half - from first point to center, center to other point - first point to top, top to other point - radius to top point - fill in all angles - put in angle measures around center x - y y x 2 +=

- make quadrilateral by joining 4 points on the circle - draw a radius to each point - label 2 equal angles A A A - label 2 equal angles B - label 2 equal angles C - label 2 equal angles D B B C C D D Every quadrilateral has ___ o 360 So 2A + 2B + 2C + 2D = 360 So 2(A + B + C + D) = 360 So (A + B + C + D) = 180

- make quadrilateral - make second quadrilateral - label bottom angle A A - label top two angles x and y x y We know A + x = 180 and A + y = 180 Therefore x = y

x 41

42 x

54 x

x y 70 85