Exploring Properties of Parallelograms

What defines a parallelogram?

• A quadrilateral with one pair of parallel sides

• A quadrilateral with two pairs of parallel sides

• A quadrilateral with no parallel sides

• A quadrilateral with all sides congruent

What can be said about the diagonals in a parallelogram based on their lengths?

• They are perpendicular

• They bisect each other

• They are always equal

• They are always unequal

Which property states that opposite sides of a parallelogram are congruent?

• Diagonals bisect each other

• Opposite angles are congruent

• Opposite sides are congruent

• Consecutive angles are supplementary

Tags

CCSS.HSG.CO.C.11

If one side of a parallelogram is 8 cm, what is the length of the opposite side?

• 12 cm

• 4 cm

• 8 cm

• 16 cm

Tags

CCSS.HSG.CO.C.11

What is the result when consecutive angles in a parallelogram are added?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

Tags

CCSS.HSG.C.A.3

What is true about the consecutive angles in a parallelogram?

• They are complementary

• They are supplementary

• They are equal

• They are none of the above

Tags

CCSS.HSG.CO.C.11

How do the diagonals of a parallelogram behave?

• They are perpendicular

• They bisect the opposite angles

• They bisect each other

• They are congruent

In a parallelogram, if the length of one diagonal is given as 20 cm, what is the length of each segment created by the diagonals bisecting each other?

• 10 cm

• 20 cm

• 5 cm

• 15 cm

Tags

CCSS.HSG.CO.C.11

In a parallelogram, if one angle is 60 degrees, what is the measure of the opposite angle?

• 90 degrees

• 30 degrees

• 60 degrees

• 120 degrees

Tags

CCSS.HSG.C.A.3

If the measure of one angle in a parallelogram is given as 40 degrees, what is the measure of the consecutive angle?

• 100 degrees

• 40 degrees

• 140 degrees

• 90 degrees

Tags

CCSS.HSG.C.A.3