MUST BE / COULD BE
Here are some more challenges from Mr. Quincey. For each description of a quadrilateral below, say what special type the quadrilateral must be and/or what special type the quadrilateral could be. Look out: Some descriptions may have no “must be”s, and some descriptions may have many “could be”s!
“My quadrilateral has a pair of equal sides and a pair of parallel sides.”
How many sides does this shape have? Which shapes have these same characteristics?
“The diagonals of my quadrilateral bisect each other.”
What shapes have these characteristics?
Must be: parallelogram because all parallelograms have bisecting diagonals.
Could be: rhombus, rectangle, and square, because they have bisecting diagonals, but other properties are necessary to be these shapes.