Quadrilateral Properties and Angles Sums (Lessons 6-1 to 6-5)

Which theorem shows that the quadrilateral is a parallelogram?

• Not Parallelogram

• Opposite Sides are congruent

• Opposite Angles are congruent

• 1 set of Opposite Sides is Parallel and Congruent

Is there enough information to determine that this quadrilateral is a parallelogram?

• yes, opposite sides are congruent

• no, not all pairs of opposite sides are congruent

• yes, opposite sides are parallel

• no, it is not a quadrilateral

State which method we can use to show that the quadrilateral is a parallelogram.

• Both pairs of opposite angles are congruent.

• Both pairs of opposite sides are congruent

• The diagonals bisect each

• Both pairs of opposite sides are parallel.

Find the interior angle sum for the polygon shown in the diagram.

• 1440

• 2340

• 900

• 1800

Find the interior angle sum for the polygon shown in the diagram.

• 540

• 360

• 1440

• 720

If the sum of interior angles of a polygon is 900° , how many sides does the polygon have?

• 4

• 7

• 9

• 8

If the sum of the interior angles of a polygon is 2880° , how many sides does the polygon have? 

• 16

• 17

• 18

• 19

Solve for x and y.

• x=55 y=35

• 
  x=145 y=35

• x=75 y=35

• x=35 y=55

Solve for X.

• 95 because the diagonals are congruent in a rhombus.

• 95 because consecutive sum to 180 in a rhombus.

• 85 because opposite angles are congruent in a rhombus.

• 85 because all angles are congruent in a rhombus

Find the value of y.

• 135

• 115

• 140

• 125