

3. 
In _{}ABCD, diagonals _{} and _{} intersect at E. If AE=(x + 22), EC=(3x + 26), find the value of x. 

4. 
In _{}ABCD, angle A is 96 less than three times of angle B. Find m_{}D. 

5. 
Name the properties of a parallelogram. 

6. 
Name the ways of proving a quadrilateral is a parallelogram. 

7. 
The coordinates of a parallelogram are (4, 4), (5, 7), (10, 5), and (x, y) and x > 10. What is the value of x + y? 

8. 
In _{}PQRS, m_{}P=(x + 47) and m_{}R=(8x + 75). Find the value of x. 

9. 
What is the difference between a parallelogram and a rectangle? 

10. 
In _{}ABCD, AB=(2x  9) and CD=(2x + 39). Find AB. 

11. 
ABCD is a parallelogram. AB = 2x, AD = 4y  6, BC = 3x. If the perimeter of _{}ABCD is 180, find the values of x and y. 

12. 
Suppose points A(4, 2), B(0, 2), C(1, 10), and D(3, 10) are vertices of a parallelogram. Find the perimeter of _{}ABCD. 

13. 
In _{}ABCD, AB = 2x + 3, BC = 4y, CD = 4x  5, DA = y + 6. What is the value of xy? 

14. 
In _{}DEFG, the measure of _{}D exceeds the measure of _{}E by 30. Find the measure of _{}D. 
