Exploring the Properties of Parallelograms

What is a parallelogram?

• A triangle with one angle greater than 90 degrees

• A four-sided figure with opposite sides parallel

• A shape with all sides equal

• A circle divided into four equal parts

How can you remember the definition of a parallelogram?

• By remembering it has parallel sides

• By recalling it has congruent diagonals

• By its equal angles

• By its circular shape

What does it mean if sides are congruent?

• They are perpendicular

• They intersect at one point

• They are of equal length

• They are parallel but not equal

What property do consecutive angles in a parallelogram have?

• They are equal

• They sum up to 180 degrees

• They are complementary

• They are both acute angles

How do diagonals in a parallelogram interact with each other?

• They intersect but do not bisect each other

• They do not intersect

• They bisect each other

• They are parallel to each other

What does it mean if angles are supplementary?

• They are equal

• They add up to 180 degrees

• They add up to 90 degrees

• They are both obtuse

What is a characteristic of opposite angles in a parallelogram?

• They are supplementary

• They are congruent

• They are both acute

• They are complementary

What is true about the diagonals of a parallelogram?

• Each diagonal divides the shape into two congruent triangles

• They divide the shape into four triangles

• They are perpendicular to each other

• They are congruent

What must be true for a pair of sides in a parallelogram?

• They must be perpendicular

• They must be congruent and parallel

• They must intersect at a right angle

• They must be of different lengths

What is the significance of the diagonals in a parallelogram?

• They are always equal in length

• They bisect each other, creating congruent segments

• They intersect but are not congruent

• They are parallel to the sides