Tests for Parallelograms Explained

What is the first condition that allows you to assume a quadrilateral is a parallelogram?

• Both pairs of opposite angles are congruent

• Diagonals bisect each other

• Both pairs of opposite sides are congruent

• Both pairs of opposite sides are parallel

If both pairs of opposite sides of a quadrilateral are congruent, what can you assume about the shape?

• It is a rectangle

• It is a parallelogram

• It is a trapezoid

• It is a square

Which notation is used to indicate that sides are congruent?

• Numbers

• Dots

• Hash marks

• Arrows

What does it mean if the diagonals of a quadrilateral bisect each other?

• The diagonals are equal in length

• The diagonals are perpendicular

• Each diagonal is divided into two equal parts

• The diagonals are parallel

In a parallelogram, if one pair of opposite sides is both parallel and congruent, what can you conclude?

• The diagonals are equal

• The other pair of sides is also parallel

• The shape is a parallelogram

• The shape is a rectangle

In example one, what information was given to determine if the shape is a parallelogram?

• Length of diagonals

• Parallelism of sides

• Measures of all sides

• Measures of all angles

What is the purpose of using the midpoint formula in determining if a quadrilateral is a parallelogram?

• To find the length of the sides

• To find the perimeter of the quadrilateral

• To find the midpoint of the diagonals

• To find the area of the quadrilateral

If the midpoints of the diagonals of a quadrilateral are the same, what can you conclude?

• The quadrilateral is a rectangle

• The quadrilateral is a parallelogram

• The quadrilateral is a square

• The diagonals are equal in length

What does it mean if two lines have the same slope?

• They are perpendicular

• They are parallel

• They bisect each other

• They are congruent

How many times do you need to use the slope formula to determine if a quadrilateral is a parallelogram?

• Four times

• Five times

• Three times

• Two times