Evidence of Understanding
 investigate the relationship between the diagonals of a quadrilateral and its other characteristics

analyze examples and nonexamples to make conjectures about diagonals belonging to parallelograms, rectangles, squares, trapezoids, kites, and rhombuses
 use constructions, paper folding, and other tools to justify diagonals: of a parallelogram bisect each other, of a rectangle are congruent, and kites are perpendicular
 construct a square inscribed in a circle using perpendicular bisectors

prove diagonals of parallelograms bisect each other
 prove the converse statement (if diagonals bisect each other then it is a parallelogram)
 use CPCTC to deductively prove the diagonals intersect at their midpoint

prove diagonals of rectangles are congruent
 investigate diagonals of an isosceles trapezoid and use them show the converse statement is false

prove diagonals of a rhombus perpendicularly bisect one another
 demonstrate perpendicular diagonals do not necessarily bisect one another (ex: kites)
 find the measure of the missing length of a diagonal

analyze examples and nonexamples to make conjectures about diagonals belonging to parallelograms, rectangles, squares, trapezoids, kites, and rhombuses
Develop conceptual understanding:
parallelogram, rectangle, square, trapezoid, kite, rhombus, inscribedSupporting terms to communicate:
trapezoid, diagonal, congruent, bisect, perpendicular, midpoint, segment, sides, lengths, measure, CPCTC, converse, polygon, pentagon, hexagon, octagon, interior angle, exterior angle