Download Special Parallelograms

Special Parallelograms
Geometry, ch. 6
NAME:
Fill each blank with always, sometimes, or never:
Squares are
rhombuses.
Rhombuses are
squares.
Squares are
rectangles.
Rhombuses are
rectangles.
Squares are
parallelograms.
Rhombuses are
parallelograms.
Squares are
trapezoids.
Rhombuses are
trapezoids.
Squares are
quadrilaterals.
Rhombuses are
quadrilaterals.
Rectangles are
rhombuses.
Parallelograms are
squares.
Rectangles are
squares.
Parallelograms are
rhombuses.
Rectangles are
parallelograms.
Parallelograms are
rectangles.
Rectangles are
trapezoids.
Parallelograms are
trapezoids.
Rectangles are
quadrilaterals.
Parallelograms are
quadrilaterals.
Trapezoids are
squares.
Quadrilaterals are
squares.
Trapezoids are
rhombuses.
Quadrilaterals are
rhombuses.
Trapezoids are
rectangles.
Quadrilaterals are
rectangles.
Trapezoids are
parallelograms.
Quadrilaterals are
parallelograms.
Trapezoids are
quadrilaterals.
Quadrilaterals are
trapezoids.
Decide whether each statement is true or false:
_____ 1. All rhombuses are squares.
_____ 6. If a parallelogram is a square, then it is also a rectangle.
_____ 2. No trapezoids are parallelograms.
_____ 7. If a parallelogram is a rectangle, then it is also a rhombus.
_____ 3. Some rectangles are rhombuses.
_____ 8. If a quadrilateral is a parallelogram, then it is also a rhombus.
_____ 4. Some parallelograms are quadrilaterals.
_____ 9. If a quadrilateral is a rhombus, then it is also a parallelogram.
_____ 5. All squares are parallelograms.
_____ 10. If a quadrilateral is a trapezoid, then it can’t be a parallelogram.
For each shape, identify whether the property is always true (A), sometimes true (S), or never true (N):
SQUARES:
_____ Both pairs of opposite sides are parallel.
RHOMBUSES:
_____ Both pairs of opposite sides are parallel.
_____ Both pairs of opposite sides are equal.
_____ Both pairs of opposite sides are equal.
_____ All four sides are equal.
_____ All four sides are equal.
_____ Opposite pairs of angles are equal.
_____ Opposite pairs of angles are equal.
_____ All four angles are equal.
_____ All four angles are equal.
_____ The diagonals bisect each other.
_____ The diagonals bisect each other.
_____ The diagonals bisect the corner angles.
_____ The diagonals bisect the corner angles.
_____ The diagonals are congruent.
_____ The diagonals are congruent.
_____ The diagonals are perpendicular.
_____ The diagonals are perpendicular.
RECTANGLES:
_____ Both pairs of opposite sides are parallel.
PARALLELOGRAMS:
_____ Both pairs of opposite sides are parallel.
_____ Both pairs of opposite sides are equal.
_____ Both pairs of opposite sides are equal.
_____ All four sides are equal.
_____ All four sides are equal.
_____ Opposite pairs of angles are equal.
_____ Opposite pairs of angles are equal.
_____ All four angles are equal.
_____ All four angles are equal.
_____ The diagonals bisect each other.
_____ The diagonals bisect each other.
_____ The diagonals bisect the corner angles.
_____ The diagonals bisect the corner angles.
_____ The diagonals are congruent.
_____ The diagonals are congruent.
_____ The diagonals are perpendicular.
_____ The diagonals are perpendicular.
Decide whether each statement is true or false:
_____ 11.
If a quadrilateral is a parallelogram, then the diagonals are congruent.
_____ 12.
If a parallelogram is a rectangle, then the diagonals bisect each other.
_____ 13.
If a parallelogram is a square, then the diagonals bisect the corner angles.
_____ 14.
If a quadrilateral is a rhombus, then all four angles are equal.