Proving a Quadrilateral a Parallelogram
Rectangles and rhombuses always have
What are 2 pairs of parallel sides
What are the defining characteristics of a square?
Are rhombuses always rectangles?
What is no?
True or False: A rectangle isn't a square, but a square is a rectangle.
What is false
If three of the angles on a quadrilateral are the same and one is different. Is it a parallelogram?
What is yes?
True or False: A rhombus is a kite.
True
True or False: All opposite angles on rhombuses add up to 180.
What is false?
What is the exact definition of a parallelogram?
What is If both pairs of opposite sides are parallel, the quadrilateral is a parallelogram.
Rectangles always have _____________ while some rhombuses do not.
What are 4 right angles
True or False: Every square is a parallelogram.
What is true
What are both defining properties of a rhombus?
What are four congruent sides and the diagonals intersect at a right angle?
True or False: Rhombuses are Squares, but not all Square are Rhombuses.
What is true.
Which category would be at the top of the tree diagram? equilateral, isosceles, triangle, polygon
What is polygon
True or False: A square has 4 equal sides so a parallelogram must have 4 equal sides.
What is false
Which category is least specific? square, trapezoid, quadrilateral, parallelogram
What is quadrilateral
Do squares, rhombuses, and rectangles all always share one property? What is it?
What is yes? What are two pairs of parallel sides?
Which category would be at the top of the tree diagram? equilateral, isosceles, triangle, polygon
what is equilateral
True or False: A rectangle has opposite sides of equal length so a square must have opposite sides of equal length.
What is true
The list shows some attributes of shapes:
at least 3 angles
at least 1 pair of parallel sides
at least 2 sides equal length
Which shapes ALWAYS have the attributes?
square, rhombus, trapezoid, quadrilateral, equilateral triangle
square, rhombus
Draw out the hierarchy of quadrilaterals.
Check with your teacher