#7.2 Properties of Parallelograms

Theorem:

If a quadrilateral is a parallelogram then ________

• opposite sides are congruent

• all 4 sides are congruent

• consecutive sides are congruent

• None of these

Theorem:

If a quadrilateral is a parallelogram, then____________

• opposite angles are congruent

• all 4 angels are congruent

• consecutive angles are congruent

• None of these

Find the value of x.

• 17

• 20

• 14

• 35

Find the value of y.

• 34

• 36

• 38

• 40

Find the value of a

• 15

• 10

• 37

• 111

Find the value of b.

• 15

• 10

• 37

• 111

Theorem:

If a quadrilateral is a parallelogram then____________

• Consecutive angles are congruent

• Consecutive angles are complementary

• Consecutive angles are supplementary

• None of these

Theorem:

If a quadrilateral is a parallelogram then____________

• Diagonals are congruent

• Diagonals bisect each other

• The shorter diagonal bisects the longer diagonal

• None of these

Find the value of s.

• 27

• 9

• 14

• 19

 Find the coordinates of the intersection of the diagonals of the parallelogram with vertices

 $\left(-2,-1\right)$  ,  $\left(1,3\right)$  ,  $\left(6,3\right)$  ,  $\left(3,-1\right)$  
(Hint: Use the Midpoint Formula)

•  $\left(4,2\right)$  

•  $\left(2,1\right)$  

•  $\left(3,6\right)$  

•  $\left(\frac{7}{2},3\right)$