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Discovering Geometry Day 36 5.3 Kite and Trapezoid Properties o Daily Openers o Check homework 5.3 Kite and Trapezoid Properties kite – a quadrilateral with exactly two pairs of consecutive sides (opposite sides are not ). Conjecture (1) – diagonals of a kite are . Conjecture (2) – the diagonal through the vertex angles is the bisector of the other diagonal. Conjecture (3) – the non-vertex angles of a kite are . Conjecture (4) – the vertex angles are bisected by the diagonal between them. trapezoid – a quadrilateral with exactly one pair of parallel sides. Conjecture (1) – consecutive angles between the bases of a trapezoid are supplementary. isosceles trapezoid – a trapezoid whose nonparallel sides are . Conjecture (2) – base ’s of an isosceles TRAP are . Conjecture (3) – diagonals of an isosceles trapezoid are . Homework – pages 271–273 #1–16 Daily Openers – 1. What is the interior angle sum of a heptagon? 2. What is the measure of each interior of a regular 18-gon? 3. Graph: y x 2 7 4. (a) What is the measure of each exterior angle of a regular dodecagon? (b) What is the sum of the measures of all the exterior angles? 5. Solve: 16n 2 57n 27