Properties of Parallelograms

Find x.

• 75

• 85

• 105

• 95

Find x.

• 85

• 105

• 95

• 75

The opposite angles of a parallelogram are ...

• complementary

• congruent

• supplementary

• perpendicular

In a parallelogram, consecutive angles are __________.

• congruent

• supplementary

• corresponding

• parallel

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

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

Find the values of x and y that make

the quadrilateral a parallelogram.

​ ​ x=​ (a)  

y=​ (b)  

• 1

• 6

• 2

• 3

• 4

• 5

• 7

• 8

• 9

• 10

Refer to parallelogram ABCD. LABEL what angle BCD should be.

a

260

114

65

25

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

• Parallelogram Opposite Angles Converse

• Parallelogram Opposite Sides Converse

• Opposite Sides Parallel and Congruent Theorem

• Definition of a Parallelogram

• Parallelogram Diagonals Converse

In a parallelogram, diagonals are __________.

• perpendicular

• bisected

• congruent

• parallel