Properties of Parallelograms

What is a defining property of a parallelogram?

• Diagonals are perpendicular

• All angles are 90 degrees

• All sides are equal

• Opposite sides are parallel

Tags

CCSS.HSG.CO.C.11

If a quadrilateral is a parallelogram, then its opposite sides are:

• Not parallel

• Of varying lengths

• Perpendicular

• Congruent

Tags

CCSS.HSG.CO.C.11

In a parallelogram, consecutive angles are:

• Complementary

• Equal

• Supplementary

• Acute

Tags

CCSS.HSG.CO.C.11

What do the diagonals of a parallelogram do to each other?

• Cross at a right angle

• Are congruent

• Are parallel

• Bisect each other

To prove a quadrilateral is a parallelogram, you must show that:

• Its diagonals are congruent

• It has at least one right angle

• Its opposite sides are congruent

• It has four sides

Tags

CCSS.HSG.CO.C.11

In a parallelogram, if one angle is 90 degrees, what can be inferred?

• The parallelogram is a square

• All angles are 90 degrees

• It is not a parallelogram

• Only opposite angles are 90 degrees

Tags

CCSS.HSG.CO.C.11

Which property is not a defining characteristic of a parallelogram?

• Opposite sides are congruent

• Diagonals bisect each other

• All sides are of equal length

• Opposite angles are congruent

Tags

CCSS.HSG.CO.C.11

What is the result when the diagonals of a parallelogram bisect each other?

• Four congruent triangles are formed

• The diagonals are congruent

• Each diagonal divides the parallelogram into two congruent triangles

• The parallelogram becomes a rectangle

Tags

CCSS.HSG.CO.C.11

Which statement is true for the angles of a parallelogram?

• Adjacent angles are complementary

• Each angle measures 60 degrees

• Opposite angles are equal

• Each angle is obtuse

Tags

CCSS.HSG.C.A.3

Which condition is sufficient to prove that a quadrilateral is a parallelogram?

• One pair of opposite sides is congruent and parallel

• It has two acute angles

• All sides are of equal length

• It has one pair of congruent diagonals

Tags

CCSS.HSG.C.A.3