Special Parallelogram Identification

If a parallelogram contains at least one right angle, then it is a ____

• kite

• rectangle

• rhombus

• square

If the diagonals of a parallelogram are congruent, then it is a ____

• rhombus

• trapezoid; isosceles

• square

• rectangle

If all four angles of a quadrilateral are congruent, then it is a ____

• rhombus

• square

• rectangle

• kite

If two disjoint pairs of consecutive sides of a quadrilateral are congruent, then it is a ____

• kite

• rhombus

• rectangle

• square

If one of the diagonals of a quadrilateral is the perpendicular bisector of the other, then the quadrilateral is a ____

• rectangle

• kite

• square

• rhombus

If a quadrilateral is both a rectangle and rhombus, then it is a ____

• rectangle

• kite

• trapezoid; isosceles

• square

If a parallelogram contains a pair of consecutive sides that are congruent, then it is a ____

• square

• kite

• rhombus

• rectangle

If either diagonal of a parallelogram bisects opposite angles of the parallelogram, then it is a ____

• rhombus

• square

• rectangle

• kite

If the diagonals of a quadrilateral are perpendicular bisectors of each other, then it is a ____

• square

• rectangle

• trapezoid; isosceles

• rhombus

If the nonparallel sides of a ____ are congruent, then it is ____

• trapezoid; isosceles

• rhombus

• kite

• square