Solve Properties of Parallelograms and Polygons

In parallelogram ABCD, if ED = 7x-13 and BD = 16x-38, BD=______.

Find the value of X.

• 60

• 72

• 85

• 55

Find the value of X.

• 100° 

• 110° 

• 150° 

• 168° 

If ABCD is a parallelogram, what is the length of BD? 

• 10

• 11

• 7

• 5

Select all properties of parallelograms.​ (a)   ​ (b)   ​ (c)   ​ (d)   ​ (e)  

• opposite sides are parallel

• opposite sides are congruent

• opposite angles are congruent

• diagonals bisect each other

• all angles are congruent (right)

• all sides are congurent

• diagonals are congurent

• consecutive angles are supplementary

• diagonals are perpendicular

• diagonals bisect angles

Opposite sides of parallelograms are _______ and _______.

• parallel

  congruent

• congruent

  consecutive

• parallel

  perpendicular

• parallel

  supplementary

______ angles of parallelograms are congruent.

• Consecutive

• Opposite

• parallel

• diagonal

Consecutive angles of parallelograms are ______.

• bisected

• congruent

• supplementary

• complementary

The sum of the interior angles of a polygon is __________________ where n is the number of sides.

• (n - 2)180

• (n - 1)180

• 360

• (n - 3)(180)

The sum of the exterior angles of a polygon is __________________ where n is the number of sides.

• 360

• n

• (n - 2)180

• (n - 1)180