Proving Parallelogram Quiz

How can you prove that a quadrilateral is a parallelogram using the method of opposite sides?

• The opposite sides of the quadrilateral are equal in length.

• The opposite sides of the quadrilateral are perpendicular to each other.

• The opposite sides of the quadrilateral are of different lengths.

• The opposite sides of the quadrilateral are parallel to each other.

Tags

CCSS.HSG.C.A.3

In a parallelogram, what is the relationship between the measures of opposite angles?

• Equal

• Are always right angles

• Add up to 180 degrees

• Are always acute angles

Tags

CCSS.HSG.C.A.3

What is the method to prove a quadrilateral is a parallelogram using its diagonals?

• By showing that the diagonals are perpendicular to each other

• By showing that the diagonals intersect at a right angle

• By showing that the diagonals are of equal length

• By showing that the diagonals bisect each other

Tags

CCSS.HSG.CO.C.11

Explain how to prove a quadrilateral is a parallelogram using the slopes of its sides.

• Calculate the area of the quadrilateral and check if it is equal to the sum of the areas of its two triangles.

• Calculate the slopes of opposite sides and check if they are equal.

• Count the number of right angles in the quadrilateral and check if it is equal to 4.

• Measure the length of all four sides and check if they are equal.

Tags

CCSS.HSG.CO.C.11

Using coordinate geometry, what conditions must be satisfied to prove that a quadrilateral is a parallelogram?

• All sides are equal in length and all angles are acute angles

• All sides are equal in length and all angles are right angles

• Opposite sides are equal in length and opposite angles are equal in measure.

• All sides are equal in length and all angles are equal in measure

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

If a quadrilateral has opposite sides that are equal in length, can we conclude that it is a parallelogram? (True/False)

• Not sure

• Maybe

• True

• False

In a parallelogram, are the diagonals always equal in length? (True/False)

• Depends on the shape

• Sometimes

• False

• True

Tags

CCSS.HSG.CO.C.11

If the slopes of the opposite sides of a quadrilateral are equal, can we conclude that it is a parallelogram? (True/False)

• False

• Not Sure

• Maybe

• True

Tags

CCSS.HSG.CO.C.11