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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
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