1. Warm Up
Find the value of each variable.
1. x 2. y 3. z

4. A quadrilateral with two pairs of parallel sides is a parallelogram
A quadrilateral with two pairs of parallel sides is a parallelogram. To write the name of a parallelogram, you use the symbol .

5. MATH is a parallelogram. Find x, y, w and z.

6. For the parallelogram, find x, y and z.

7. For the parallelogram, find x, y and z.

8. For the parallelogram, find x, y and z.

9. In CDEF, DE = 74 mm,
DG = 31 mm, and mFCD = 42°.
Find CF.
Find mEFC.
Find DF.

10. In KLMN, LM = 28 in.,
LN = 26 in., and mLKN = 74°.
Find KN.
Find mNML.
Find LO.

11. WXYZ is a parallelogram.
Find YZ.
Find mZ.
Find mX.

12. EFGH is a parallelogram.
Find JG.
Find FH.

13. In ABCD, AB = 2x + 5, m⦟ BAC = 2y, m⦟B = 120,
m⦟CAD = 21 and CD = 21. Find x and y.

14. For the parallelogram, find x, y and z.

15. For the parallelogram, find x, y and z.

16. For the parallelogram, find x, y and z.

17. For the parallelogram, find x, y and z.6
-x + 3y 9

18. For the parallelogram, find x, y and z.

19. For the parallelogram, find x, y and z.

20. Lesson Quiz: Part I
In PNWL, NW = 12, PM = 9, and
mWLP = 144°. Find each measure.
1. PW mPNW

21. Lesson Quiz: Part II
QRST is a parallelogram. Find each measure.
2. TQ mT