Rectangles Discovery Activity
Definition of a rectangle
[size=200]A [u][b]rectangle [/b][/u]is an equiangular parallelogram.[/size]
What is the measure of each angle in a rectangle?
[u]Since a rectangle is a parallelogram, it has all of the properties of a parallelogram:[/u][br][list][*]opposite sides are parallel[/*][*]opposite sides are congruent[/*][*]opposite angles are congruent[/*][*]consecutive interior angles are supplementary[/*][*]diagonals bisect each other[br][/*][/list]
[b][size=150]There is one additional property of a rectangle that involves the diagonals.[/size][/b]
Make a conjecture about the diagonals of a rectangle. Test your conjecture by moving around points A, B, and C in rectangle ABDC below.
Type your conjecture here.
What could we do to decide whether quadrilateral ABCD is a parallelogram? a rectangle?
How would you show whether quadrilateral ABCD above is a parallelogram?
How would you show whether quadrilateral ABCD above is a rectangle?