Geo R Practice 6.5 - Classifying Special Quadrilaterals

Which information is not sufficient to prove that a parallelogram is a square?

• The diagonals are both congruent and perpendicular.

• The diagonals are congruent and one pair of adjacent sides are congruent.

• The diagonals are perpendicular and one pair of adjacent sides are congruent.

• The diagonals are perpendicular and one pair of adjacent sides are perpendicular.

A parallelogram must be a rectangle when its

• diagonals are perpendicular

• diagonals are congruent

• opposite sides are parallel

• opposite sides are congruent

A parallelogram must be a rectangle when its

• sides are perpendicular

• adjacent sides are congruent

• opposite sides are parallel

• opposite sides are congruent

A parallelogram is always a rectangle if

• the diagonals are congruent

• the diagonals bisect each other

• the diagonals intersect at right angles

• the opposite angles are congruent

What additional information is sufficient to prove that parallelogram ABCD is also a rhombus?

• BD bisects AC

• AB is parallel to CD

• AC is congruent to BD

• AC is perpendicular to BD

Which statement does not prove that a parallelogram is a rhombus?

• its diagonals are congruent

• a pair of adjacent sides are congruent

• its diagonals are perpendicular

• its diagonals bisect its interior angles

A parallelogram must be a rhombus if its diagonals

• are congruent

• bisect each other

• do not bisect its angles

• are perpendicular to each other

A quadrilateral has diagonals that are perpendicular but not congruent. This quadrilateral could be

• a square

• a rhombus

• a rectangle

• an isosceles trapezoid

Which polygon does not always have congruent diagonals?

• square

• rectangle

• rhombus

• isosceles trapezoid

Which polygon has diagonals bisecting its interior angles?

• square

• rectangle

• isosceles trapezoid

• parallelogram