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Unformatted text preview: the other two vertices are equal . Exercises: 1. In convex quadrilateral ABCD , the diagonals AC and BD meet at point E . Given that AE = 2, BE = 5, CE = 10, DE = 4 and BC = 7 . 5, ﬁnd AB . 2. Prove that, in a cyclic quadrilateral, two opposite sides are equal if and only if the other two opposite sides are parallel. 3. Determine the values of the numbered angles. 4. Name the cyclic quadrilaterals in the following diagrams. Explain your reasoning. 5. Determine the measures of angles 1 through 5 (below, left). 6. If ABCD is an isosceles trapezoid, prove that ABCD is cyclic....
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