Applying Properties of Parallelograms and Polygons

Which property is true of a parallelogram?

• Opposite angles are congruent.

• Opposite angles are supplementary.

• All parallelograms are regular polygons.

• All sides are congruent.

Check all that are true of a PARALLELOGRAM

• opposite sides are parallel

• opposite sides are congruent

• all sides are congruent

• opposite angles are congruent

• all angles are congruent

In the parallelogram, solve for x.

• 1

• 10

• 4

• 5

Prove that if a quadrilateral is a parallelogram, then the opposite sides are congruent.

• parallel

• Alternate Interior Angles Theorem.

• Reflexive Property.

• ASA≅

• Corresponding Parts of Congruent Triangles are Con

The figure is a parallelogram.  
Solve for x.  

• 0

• 6

• 5

• 9

Find the length of CB. #22

• 10

• 32

• 24

• 30

State the theorem you can use to show that the quadrilateral is a parallelogram.

• Parallelogram Opposite Sides Converse

• Parallelogram Opposite Angles Converse

• Parallelogram Opposite Sides Parallel and Congruent Theorem

• Parallelogram Diagonals Converse

In Parallelogram JKLM, determine the value of the variables.

• x = 44

• x = 136

• y = 36

• y = 44

• y = 136

m∠ZXY = 34°. Find angle m∠WXZ = __

• 34°

• 17°

• 68°

• 90°

Which statement about parallelograms is always true?

• Diagonals are congruent

• Diagonals are perpendicular

• Diagonals bisect each other

• Diagonals bisect their respective angles